Class 8th Mathematics MCQ
Chapter 8: Comparing Quantities Part 3
Q147. Tick (✓ ) the correct answer in the following:
By selling a radio for Rs. 950, a man loses 5%. What percent shall he gain by selling it for Rs. 1040?
1. 4%
2. 4.5%
3. 5%
4. 9%
Ans: 1. 4%
Solution:
SP of the radio = Rs. 950
Loss = 5%
CP =
100
100 − loss × SP
= Rs.
100
100 − 5 × 950
= Rs.
100
95 × 950
= Rs.1000
Now, gain = Rs. (1040 – 1000) = Rs. 40
∴ Gain percentage =
gain
CP × 100 %
=
40
1000 × 100 % = 4%
Q148. Tick (✓ ) the correct answer in the following:
3
5 = ?
1. 30%
2. 40%
3. 45%
4. 60%
Ans: 4. 60%
Solution:
3
5 =
3
5 × 100 = 60%
Q149. The price of a motar bike was Rs. 40,000 two years before. Now its price has dropped by 38%. What is its cost
now?
1. Rs. 34,234
2. Rs. 24,800
3. Rs. 21,500
4. Rs. 20,800
Ans: 2. Rs. 24,800
Solution:
The price of the molar bike was Rs. 40,000
The price dropped by 38%.
The amount by which its cost dropped =
38
100 × 40000 = 15200
Therefore, the cost of the molar bike now= 40,000 – 15,200 = Rs. 24,800
Q150. Tick (✓ ) the correct answer in the following:
A sum of Rs. 25000 was given as loan on compound interest for 3 years compounded annually at 5% per annum
during the first year, 6% per annum during the second year and 8% per annum during the third year. The
compound interest is.
1. Rs. 5035
2. Rs. 5051
3. Rs. 5072
4. Rs. 5150
Ans: 2. Rs. 5051
Solution:
Principal (P) = Rs. 25000
Rate (R ) = 5% for the first year
R = 6% for the second year
R = 8% for the third year
∴ Amount (A) = P 1 +
R1
100 1 +
R2
100 1 +
R3
100
= Rs. 25000 1 +
5
100 1 +
6
100 1 +
8
100
= Rs. 25000 ×
21
20 ×
53
50 ×
27
25
= Rs. 30051
∴ C.I = A – P = Rs. 30051 – 25000
= Rs. 5051
Q151. Waheeda bought an air cooler for Rs. 3300 including a tax of 10%. The price of the air cooler before VAT was
added is:
1. Rs. 2500
2. Rs. 2000
3. Rs. 2800
4. Rs. 3000
Ans: 4. Rs. 3000
Solution:
10% VAT on Rs. 100 will make it Rs. 110
So, for price including VAT Rs. 110, the original price is Rs. 100
Then, Price including VAT Rs. 3300, the original price
= Rs.
100
110 × 3300 = Rs. 3000
Q152. Suppose a certain sum doubles in 2 years at r % rate of simple interest per annum or at R% rate of interest per
annum compounded annually. We have
1. r < R
2. R < r
3. R = r
4. can’t be decided
Ans: 2. R < r
Solution:
If the total amount received after 2 yr is same for both simple interest and compound interest on same principal, then the rate of
simple interest is greater than the rate of compound interest. i.e., R < r
Hence, option (b) is correct.
Q153. What will the. ratio of 60 paise to Rs. 10?
1. 3 : 50
2. 50 : 3
3. 25 : 4
4. 1 : 2
Ans: 1. 3 : 50
Solution:
We know that 1 rupe = 100 paise
Therefore, Rs. 10 = 1000 paise
So the ratio of 60 paise to Rs. 10 =
60
1000 =
3
50
Q154. If a % is the discount per cent on a marked price x, then discount is:
1.
x
a × 100
2.
a
x × 100
3. x ×
a
100
4.
100
x × a
Ans: 3. x ×
a
100
Solution:
Since, discount can be calculated always on marked price, when discount percentage is given.
Discount = Discount % on marked price = x ×
a
100
Hence, option (c) is correct.
Q155. A sum of money doubles itself in 3 years at CI, when the interest is compounded annually. In how many years will
it amount to 16 times of itself?
1. 6 years
2. 8 years
3. 16 years
4. 12 years
Ans: 4. 12 years
Q156. A dealer lists his goods at 20% above cost price and allows a discount of 10%. His gain percent is:
1. 10%
2. 9%
3. 8%
4. 12%
Ans: 3. 8%
Solution:
Let the CP be Rs. 100.
Then, marked price = Rs. 120
Discount = 10% of MP
= (10% of Rs.120)
= Rs. 120 ×
10
100
= Rs. 12
Now, SP = (MP) – (discount)
( )
= Rs. (120 – 12)
= Rs. 108
Gain percentage = (108 – 100)%
= 8%
Q157. Tick (✓ ) the correct answer in the following:
5% of a number is 9. The number is.
1. 45
2. 90
3. 135
4. 180
Ans: 4. 180
Solution:
Let the required number be x. Then,
5% of x = 9
⇒
5
100 × x = 9
⇒ 5x = 900
⇒ x = 180
Q158. Tick (✓ ) the correct answer in the following:
A man sold two chairs for Rs. 500 each. On one he gains 20% and on the other he loses 12%. His net gain or loss
percent is:
1. 1.5% gain
2. 2% gain
3. 1.5% loss
4. 2% loss
Ans: 1. 1.5% gain
Solution:
SP of the first chair = Rs. 500
Gain percentage = 20%
CP of the first chair =
100
100 + gain% × SP
= Rs.
100
100 + 20 × 500
= Rs.
100
120 × 500
= Rs. 416.67
SP of the second chair = Rs. 500
Loss percentage = 12%
∴ CP of the second chair =
100
( 100 − loss% ) × SP%
= Rs.
100
100 − 12 × 500
= Rs.
100
88 × 500
= Rs. 568.18
Total CP of the two chairs = Rs. (416.67 + 568.18) = Rs.984.8
Total SP of the two chairs = Rs. (500 × 2) = Rs. 1000
Since SP > CP, there is a gain in the whole transaction.
Now, gain = Rs. (1000 – 984.85)
= Rs. 15.15
∴ Gain percentage =
gain
CP × 100 %
=
15.15
984.85 × 100 %
= 1.5%
Q159. The cost of a vehicle is Rs. 1,75,000. If its value depreciates at the rate of 20% per annum, then the total
depreciation after 3 years was:
1. Rs. 82,500
2. Rs. 84,500
3. Rs. 86,400
4. Rs. 85,400
Ans: 4. Rs. 85,400
Q160. During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer
have to pay for a pair of jeans marked at Rs. 1450 and two shirts marked at Rs. 850 each?
1. Rs. 2,635
2. Rs. 2,835
3. Rs. 2,735
4. None of these
Ans: 2. Rs. 2,835
Q161. A sofa-set was bought for Rs. 10000 Its value depreciated at the rate of 10% per annum. Find its value after one
year.
1. Rs. 11000
2. Rs. 9000
3. Rs. 10000
4. Rs. 1000
Ans: 2. Rs. 9000
Solution:
Depreciation in 1 year = 10000 ×
10
100 = Rs.1000
∴ Value after 1 year
= 10000 – 1000 = Rs. 9000
Q162. The ratio of 10km per hour to 30km per hour is:
1. 3 : 1
2. 1 : 2
3. 1 : 3
4. 2 : 1
Ans: 3. 1 : 3
Solution:
10 : 30 = 1 : 3
Q163. Tick (✓ ) the correct answer in the following:
6 : 5 when expressed as a percentage, is.
1. 83
2. 90%
3. 120%
4. 6.5%
Ans: 3. 120%
Solution:
6: 5 =
6
5 × 100 = 120%
Q164. Tick (✓ ) the correct answer in the following:
What percent of
2
7 is
1
35
1. 2.5%
2. 10%
3. 20%
4. 25%
Ans: 2. 10%
Solution:
Required percentage =
1
35 ×
7
2 × 100 % = 10%
Q165. Tick (✓ ) the correct answer in the following:
The marked price of an article is 10% more than the cost price and a discount of 10% is given on the marked
price. The seller has.
1. No gain and no loss
2. 1% gain
3. 1% loss
4. None of these
Ans: 3. 1% loss
Solution:
Let the CP be Rs. 100
Then, marked price = Rs. 110
Discount = 10% of MP
= (10% of Rs. 110)
= Rs. 110 ×
10
100
= Rs. 11
Now, SP = (MP – (discount)
= Rs (110 – 11) = Rs. 99
∴ Loss percentage = (100 – 99)% = 1%
Q166. Which of the following statement is true?
1. Sales tax is always calculated on the cost price of an item and is added to the value of the bill
2. Sales tax is always calculated on the selling price of an item and is added to the value of the bill
3. Sales tax is always calculated on the cost price of an item and is subtracted from the value of the bill.
4. Sales tax is always calculated on the selling price of an item and is subtracted from the value of the bill.
Ans: 2. Sales tax is always calculated on the selling price of an item and is added to the value of the bill
Solution:
The sale tax is charged by the government on the sale of an item. It is collected by the shopkeepers from the customers and given to
the government.
Q167. On what a discount is calculated?
1. S.p.
2. M.p.
3. Marked price
4. None of these
Ans: 3. Marked price
Solution:
Discount refers to the condition of the price of a bond that is lower than the face value. The discount equals the difference between
the price paid for and it’s par value.
Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people
are provided with discounts on various products. The discount rate is given in percentage.
Example: Find the S.P. if
M.P. = 1300
Discount = 10%
By using the formulas
SP = Marked price (MP) – Discount
Discount =
( MP × Discount% )
100
Discount% =
( Discount )
MP × 100
By using,
Discount =
( MP × Discount% )
100
=
( 1300 × 10 )
100
( )
( )
= Rs. 130
SP = MP – Discount
= (1300 – 130)
= Rs. 1170
Q168. In what time will a sum of Rs. 800 at 5% p.a. Cl amounts to Rs. 882?
1. 1 year
2. 2 years
3. 4 years
4. 5 years
Ans: 2. 2 years
Q169. The S.I. of Rs. 100 of 1 year at the rate of 3 paise per rupee per month is:
1. Rs. 30
2. Rs. 36
3. Rs. 24
4. Rs. 48
Ans: 2. Rs. 36
Solution:
S.I = 100 × 1 × (3 × 12) = 3600 paise = Rs. 36
Q170. Tick (✓ ) the correct answer in the following:
What percent of 92 is 120?
1. 75%
2. 33
1
3 %
3. 133
1
3 %
4. None of these
Ans: 3. 133
1
3 %
Solution:
120
90 × 100 % = 133
1
3 %
Q171. Rashmi borrowed Rs. 25,500 from a bank for one year if the bank charge interest of 10% per annum compounded
half-yearly what amount will he have to pay after the given time period.
1. Rs. 28113.75
2. Rs. 28619
3. Rs. 28115.50
4. Rs. 27115.75
Ans: 1. Rs. 28113.75
Solution:
Principal (P) = Rs 25,500 Rate of interest (R) = 10% Time (T) = 1 year
As the Principal is compounded half-yearly rate will be halved and time becomes twice
Now Amount (A) = P 1 +
R
2
100
2 × r = P 1 +
R
200
2r
⇒ A = 25500 1 +
10
200
2
⇒ A = 25500
210
200
2
⇒ A = 28113.75
Q172. Tick (✓ ) the correct answer in the following:
20% of Rs. 800 = ?
1. Rs. 160
2. Rs. 16
3. Rs. 1600
( )
( ) ( )
( )
( )
4. None of these
Ans: 1. Rs. 160
Solution:
20
100 × 800 = Rs. 160
Q173. Tick (✓ ) the correct answer in the following:
A number exceeds 20% of itself by 40. The number is.
1. 50
2. 60
3. 80
4. 320
Ans: 1. 50
Solution:
Let the number be x.
∴ x −
20x
100 = 40
⇒
100x − 20x
100 = 40
⇒ 80x = 4000
⇒ x = 50
Q174. On which of the following percent profit or profit loss is calculated?
1. S.p.
2. C.p.
3. Market price
4. None of these
Ans: 2. C.p.
Solution:
Profit percentage formula:
The profit percent can be calculated as:
Profit% = 100 ×
Profit
Cost Price
Percentage Loss:
The loss percent can be calculated as;
Loss% = 100 ×
Loss
Cost Price
Q175. The quantity of protein in a particular variety of pulse is 25%. Find the amount of protein in 4kg of pulse.
1. 1kg
2. 2kg
3. 3kg
4. 4kg
Ans: 1. 1kg
Solution:
Amount of protein = 4 ×
25
100 = 1kg
Q176. In what time will a sum of Rs. 800 at 5% p.a. C.I. amount to Rs. 882?
1. 1 year
2. 5 years
3. 4 years
4. 2 years
Ans: 4. 2 years
Q177. In a mixture the amount of zinc is 45%. Find the amount of zinc in 400g mixture.
1. 60g
2. 120g
3. 180g
4. 200g
Ans: 3. 180g
Solution:
Amount of zinc = 400 ×
45
100 = 180kg
Q178. The ratio of 1m and 100cm is:
1. 1 : 10
2. 1 : 1
3. 10 : 1
4. 1 : 100
Ans: 2. 1 : 1
Solution:
One meter is equal to hundred centimeters
1m = 100cm
Thus, their ratio will be:
⇒ 1m : 100cm
⇒ 100cm : 100cm
⇒ 1 : 1
Q179. The CI on a certain sum for 2 years at 10% per annum is Rs. 525. The 81 on the same sum for double the time at
half the rate percent per annum is:
1. Rs. 500
2. Rs. 400
3. Rs. 600
4. Rs. 800
Ans: 1. Rs. 500
Q180. A person got a 10% increase in his salary. If his salary was Rs. 50000, then the new salary is:
1. Rs. 60000
2. Rs. 55000
3. Rs. 45000
4. Rs. 65000
Ans: 2. Rs. 55000
Solution:
Previous salary = Rs. 50000
10% of Rs. 50000 =
10
100 × 50000 = Rs. 5000
New salary = Rs. 50000 + Rs. 5000
= Rs. 55000/-
Q181. If vishakha has spent 20% of her pocket money and saved Rs. 500 what is her pocket money?
1. Rs. 600
2. Rs. 550
3. Rs. 625
4. Rs. 650
Ans: 3. Rs. 625
Solution:
Let Vishakha’s pocket money= Rs. X
According to the question,
20
100 x + 500 = x
⇒ 20x + 50000 = 100x
( )
⇒ 80x = 50000
⇒ x = 625
Q182. To gain 44% after allowing a discount of 20%, the shopkeeper must mark the price of the article which costs him
Rs 450 as.
1. Rs. 710
2. Rs. 800
3. Rs. 810
4. Rs. 825
Ans: 3. Rs. 810
Solution:
Given that CP = Rs. 450
44% of Rs. 450. =
44
100 × 450
= Rs. 198
Therefore, the, shopkeeper should sell the product at Rs. 648 (19 + 450) to earn a profit of 44% we can say that Rs. 648 is the SP of
the product after offering 20% discount or Rs. 648 is the 80% of the marked price (MP) hence, 80% of MP = Rs. 648 or,
80
100 × x = 648
⇒ x =
648 × 100
80
Therefore, MP = Rs. 810.
Q183. The Ratio of 10m to 1Km is Equal To:
1.
1
1000
2.
1
10
3.
1
100
4. 1000
Ans: 3.
1
100
Solution:
10m
1km =
10m
1000m =
1
100
Q184. Out of 100 students of a class, 30% like to watch T.V. How many students like to watch T.V.?
1. 70
2. 50
3. 60
4. 30
Ans: 4. 30
Solution:
Number of student who like to watch T.V = 30% of 100% =
30
100 × 100 = 30
Q185. Out of 40 students in a class, 25% passed. How many students passed?
1. 20
2. 10
3. 30
4. 40
Ans: 2. 10
Solution:
∵ Out of 100 passed = 25
∴ Out of 40 passed =
25
100 × 40 = 10
or
25% of 40% =
25
100 × 40 = 10
Q186. What sum lent out at Cl will amount to Rs. 968 in 2 years at 10% p.a. interest?
1. Rs. 800
2. Rs. 1000
3. Rs. 1200
4. None
Ans: 1. Rs. 800
Q187. The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the
end of the year 2000.
1. 25153
2. 24153
3. 23153
4. None of these
Ans: 3. 23153
Q188. Tick (✓ ) the correct answer in the following:
Rajan buys a toy for Rs. 75 and sells it for Rs. 100. His gain percent is:
1. 25%
2. 20%
3. 33
1
3 %
4. 37
1
2 %
Ans: 3. 33
1
3 %
Solution:
SP = Rs. 100
Gain = Rs. (100 – 75) = Rs. 25
∴ Gain percentage =
gain
CP × 100 %
=
25
75 × 100 %
= 33
1
3 %
Q189. The ratio of 50 paise to Rs. 1 is:
1. 1 : 2
2. 2 : 1
3. 1 : 1
4. 1 : 5
Ans: 1. 1 : 2
Solution:
Rs. 1 = 100 paise
50 paise : 100 paise or 50 : 100 or 1 : 2
Q190. The marked price of a refrigerator was Rs. 7520. It was sold for Rs. 4888. What is the discount percentage?
1. 28%
2. 40%
3. 38%
4. 35%
Ans: 4. 35%
Solution:
The market price of the refrigerator = Rs. 7520
The selling price = Rs. 4888
Therefore, discount = 7520 – 4888 = Rs. 2632
( )
( )
⇒ Discount% =
Discount
Marked price × 100
⇒ Discount% =
2632
7520 × 100 = 35%
Q191. The CI on a certain sum at 5% for 2 years is Rs. 328. The SI for that sum at the same rate and for the same period
will be:
1. Rs. 320
2. Rs. 322
3. Rs. 325
4. Rs. 326
Ans: 1. Rs. 320
Q192. Tick (✓ ) the correct answer in the following:
If the compound interest on a sum for 2 years at 12
1
2 % per annum is Rs. 510, the simple interest on the same
sum at the same rate for the same period of time is.
1. Rs. 400
2. Rs. 450
3. Rs. 460
4. Rs. 480
Ans: 4. Rs. 480
Solution:
C.I on a sum = Rs. 510
Rate (R) 12
1
2 % =
25
2 % p.a
Period (n) = 2 years
C.I = A − P = P 1 +
R
100
n − P
C.I = P 1 +
R
100
n − 1
⇒ 510 = P 1 +
R
2 × 100
2 − 1
⇒ 510 = P
9
8 ×
9
8 − 1
⇒ 510 = P
81
64 − 1
⇒ 510 = P
17
64 = P =
510 × 64
17
P = Rs. 1920
∴ S.I =
PRT
100 =
1920 × 25 × 2
100 × 2
= Rs. 480
Q193. The cost price of an article is Rs. 500. If it is sold at a profit of 20%. What is its selling price:
1. Rs. 600
2. Rs. 700
3. Rs. 400
4. Rs. 520
Ans: 1. Rs. 600
Q194. The percentage of 1 : 4 is:
1. 25%
2. 75%
3. 100%
4. 50%
Ans: 1. 25%
Solution:
( )
[( ) ]
[( ) ]
[ ]
[ ]
( )
1: 4 =
1
4
1 × 100
4 × 100
=
1
4 × 100%
= 0.25 × 100% = 25%
Q195. Tick (✓ ) the correct answer in the following:
0.8% when erpressed as a decimal, is.
1. 0.08
2. 0.008
3. 8
4. 0.8
Ans: 2. 0.008
Solution:
0.8
100 =
8
1000 = 0.008
Q196. A picnic is being planned in a school. Girls are 60% of the total number of students and are 300 in number. Find
the ratio of the number of girls to the number of boys in the class.
1. It is 3 : 2
2. It is 3 : 1
3. It is 2 : 3
4. It is 2 : 1
Ans: 1. It is 3 : 2
Q197. Tick (✓ ) the correct answer in the following:
x % of y is y % of?
1. x
2. 100x
3.
x
100
4.
y
100
Ans: 1. x
Solution:
⇒ y ×
x
100 = z ×
y
100
⇒
yx
100 =
zy
100
⇒ yx = zy
⇒ z = x
Q198. Find the compound interest on Rs. 12600 for 2 years at 10% per annum compounded annually?
1. Rs. 2646
2. Rs. 2700
3. Rs. 3420
4. Rs. 4526
Ans: 1. Rs. 2646
Q199. Find selling price (SP) if a profit of 5% is made on a cycle of Rs. 700 with Rs. 50 as overhead charges.
1. Rs. 600
2. Rs. 787.50
3. Rs. 780
4. None of these
Ans: 2. Rs. 787.50
Q200. A building worth Rs. P is depreciated by R% per annum. Which of the following is true?
( )
( )
( ) ( )
1. P[1 −
R
100 ]
2. P[1 +
R
100 ]
3. P[(1 +
R
100 ) − 1]
4. P[1 − (1 −
R
100 )]
Ans: 1. P[1 −
R
100 ]
Q201. The price of a house was Rs. 34,00,000 last year. It has increased by 20% this year. What is the price now?
1. Rs. 40,40,000
2. Rs. 40,80,000
3. Rs. 30,40,000
4. Rs. 30,80,000
Ans: 2. Rs. 40,80,000
Q202. 25% of 60 students of a class likes to play football. How many students does not like to play football?
1. 15
2. 25
3. 45
4. 50
Ans: 3. 45
Solution:
Number of students = 60
25% of 60 students =
25
100 × 60 = 15
Number of students who does not play football = 60 – 15 = 45
Q203. Tick (✓ ) the correct answer in the following:
On selling a chair for Rs. 720, a man loses 25%. To gain 25% it must be sold for.
1. Rs. 900
2. Rs. 1200
3. Rs. 1080
4. Rs. 1440
Ans: 2. Rs. 1200
Solution:
Loss percentage = 25%
CP =
100
( 100 − loss% ) × SP
= Rs. =
100
100 − 25 × SP
= Rs. =
100
85 × 720
= Rs. 960
∴ Desired SP =
( 100 + gain% )
100 × CP
= Rs. =
( 100 + 25 )
100 × 960
= Rs. =
125
100 × 960
= Rs. 1200
Q204. Manoj purchased a fan for Rs. 1000 and sold it for Rs. 1200. What is her profit?
1. Rs. 1000
2. Rs. 1200
3. Rs. 200
4. Rs. 800
{ }
{ }
( )
{ }
{ }
( )
Ans: 3. Rs. 200
Q205. The cost of a bicycle at a shop was Rs. 2,525 the sales tax charged was 5% what is the bill amount?
1. Rs. 2753.20
2. Rs. 2651.25
3. Rs. 3021.50
4. Rs. 3452
Ans: 2. Rs. 2651.25
Solution:
On Rs. 100, the tax paid = Rs. 5
On Rs. 2.525. the tax paid = Rs.
5
100 × 2525 = Rs. 126.25
Bill amount = Cost of the bicycle + Sales tax = Rs. 2525 + Rs. 126.25 = Rs. 2651.25
Q206. A bought a tape recorder for Rs. 9,000 and sold it to B. B in turn sold it to C each having a loss of 30% Which of
the following is true:
1. A and B suffered the same loss.
2. A suffered more loss than B.
3. A suffered less loss than B.
4. Cannot be determined.
Ans: 2. A suffered more loss than B.
Solution:
CP of the tape recorder for A = Rs. 9,000
Then A sold it to B at 30% loss
Therefore, loss suffered by A =
30
100 × 9000 = Rs. 2700
CP for B = SP for A = 9000 – 2700 = Rs. 6,300
Also, B suffered a loss of 30% on his CP
Therefore, loss suffered by B =
30
100 × 6300 = Rs. 1, 890
As we can see that loss suffered earned by A is greater than B
Q207. What is the percentage increase from 6000 to 8460?
1. 67%
2. 41%
3. 49%
4. 51%
Ans: 2. 41%
Solution:
We know that percent increase =
New value – old value
old value × 100
Therefore, the percent increase from 6000 to 8460 =
8460 − 6000
6000 × 100 = 41%
Q208. Sugandha borrowed Rs. 40,000 from her friend at 12% per annum compounded annually. What will be interest
that she will pay after 2 years and 3 months?
1. Rs. 11651.28
2. Rs. 12432.50
3. Rs. 11600
4. Rs. 11681.28
Ans: 4. Rs. 11681.28
Solution:
P = Rs. 40,000,R = 12% T = 2 years
We know that,
A = P 1 +
R
100
r
⇒ A = 40000 1 +
12
100
2
( )
( )
⇒ A = 40000
112
100
2
Therefore, A= Rs. 50,176
This amount will be the principle for remaining 3 months i.e
1
4 year
⇒ SI =
P × R × T
100
⇒ SI =
50176 × 12 × 1
100 × 4
⇒ SI = 1505.28
Interest for first 2 years = Rs. (50,176 – 40,000) = Rs. 10,176
Therefore, total compound interest = Rs. (10,176 + 1505.28) = Rs. 11681.28
Q209. Meenu purchased a fridge for Rs. 10000 and sold it for Rs. 8000 Find her loss.
1. Rs. 8000
2. Rs. 10000
3. Rs. 2000
4. Rs. 12000
Ans: 3. Rs. 2000
Solution:
Loss = C.P. – S.P. = 10000 – 8000
= Rs. 2000
Q210. A sum of money at CI amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
1. 12
2. 6
3. 18
4. 9
Ans: 2. 6
Q211. Tick (✓ ) the correct answer in the following:
A period of 4 hours 30min is what percent of a day?
1. 18
3
4 %
2. 20%
3. 16
2
3 %
4. 19%
Ans: 1. 18
3
4 %
Solution:
Here 4 hours 30min = (240+ 30) = 270min
A day = 24 hours = (24 × 60) = 1440min
∴
270
1440 × 100 % = 18
3
4 %
Q212. The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. Calculate the S.I. on the same sum for double
the time at half the rate percent per annum.
1. Rs. 400
2. Rs. 500
3. Rs. 600
4. Rs. 800
Ans: 2. Rs. 500
Q213. The ratio of speed of cycle 12km per hour to the speed of scooter 36km per hour is:
1. 1 : 2
2. 1 : 4
3. 1 : 3
4. None of the above
( )
( )
Ans: 3. 1 : 3
Solution:
Speed of cycle
Speed of scooter =
12
36 =
1
3
Q214. A table marked at Rs. 15000 is available for Rs. 14400. Find the discount percent?
1. 2%
2. 4%
3. 5%
4. 7%
Ans: 2. 4%
Q215. (?)% of 320 is 48?
1. 25%
2. 15%
3. 14%
4. 9%
Ans: 2. 15%
Solution:
Let the required number be x.
Then, we have : (x% of 320) = 48
⇒ 320 ×
x
100 = 48
⇒
320x
100 = 48
⇒ x = 48 ×
100
320
⇒ x = 15%
Q216. Mithlesh purchased a T.V. for Rs. 10000 and sold it for Rs. 8000. Find her loss %.
1. 10%
2. 20%
3. 40%
4. 60%
Ans: 2. 20%
Q217. Tick (✓ ) the correct answer in the following:
A number is first increased by 10% and then reduced by 10%. The number.
1. Does not change
2. Decrease by 1%
3. Increases by 1%
4. None of these
Ans: 2. Decrease by 1%
Solution:
Let x be the number.
A 10% increase will given a new number,
100
100 x =
11
10 x
The number is then reduced by 10%.
The new number will be
90
100
11
10 x =
990
1000 x =
99
100 x
Difference = x −
99
100 x =
1
100 x
Percentage of decrease =
1
100 x ×
1
x × 100 = 1
Q218. Tick (✓ ) the correct answer in the following:
A man buys an article for Rs. 150 and makes overhead expenses which are 10% of the cost price. At what price
must he sell it to gain 20%?
1. Rs. 182
2. Rs. 192
3. Rs. 198
4. Rs. 208
Ans: 3. Rs. 198
Solution:
CP = Rs. 150
Total CP = Rs. (150 + 10% of 150)
= Rs. 150 +
10
100 × 150
= Rs. (150 + 15)
= Rs. 165
∴ Desired SP =
( 100 + gain% )
100 × total CP
=
( 100 + 20 )
100 × 165
= Rs.
120
100 × 165
= Rs. 198
Q219. The value of an article, which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs.
9680, the price at which it was purchased is:
1. Rs. 10,000
2. Rs. 12,500
3. Rs. 16,250
4. Rs. 14,575
Ans: 2. Rs. 12,500
Q220. Find the simple interest on Rs. 1000 for 2 years at 8% per annum.
1. Rs. 80
2. Rs. 40
3. Rs. 120
4. Rs. 160
Ans: 4. Rs. 160
Solution:
S.I =
1000 × 2 × 8
100 = Rs.160
Also Read Notes: –Class 8th Mathematics Chapter 8: Comparing Quantities