CTET Maths MCQ - Percentage

16 A man travels from A to B to buy goods which he can get 10% cheaper in B than in A. If expenses of the journey are 15 and he makes a clear saving of 10, how much does he pay for the goods?

Let CP in A be Rs. x
∴ CP in B = Rs. 0.9x
∴ 0.9x + 15 + 10 = x
⇒0.1x = 25
⇒x = 250
∴Price in B = 250 x 0.9 = Rs.225

17 Three friends started a business of renting out air conditioners by investing Rs.20000, Rs. 24000 and Rs.216000, respectively. C gets 20% of total profit for repair and maintenance of the air conditioner. If in a particular year, C gets Rs. 487.50 less than total earnings of the other two, then total profit for the year is

80% of the total proit is divided in the ratio
20000: 24000: 16000 = 5 : 6 : 4
80% of total profit = 5x + 6x + 4x = 15x
Total profit =(15x/80%)= 18.75x
Share of C in profit = 4x + 20% of 18.75
= 4x + 3.75x = 7.75x
∴Share of A in proit = 5x
Share of B in proit = 6x
∴(6z + 5x) - 7.75x = 487.50
⇒3.25x = 487.50
⇒x = 150
∴Total profit = 18.75 x 150 = Z 2812.50.

18 A watermelon weighs 5000 gm. 99% of its weight is water. It is kept in a drying room and after some time it turns out that it is only 98% water by weight. What is its weight now?

Non-water matter is 1% of 5000 = 50 gm.
After drying, this matter becomes 2% of the weight of the watermelon.
Hence weight of the watermelon now is 2500 gm.

19 What percentage of 180.50 is 36.1?

Lets consider x% of 180.5 = 36.1
x% = 36.1/180.5
x = 36.1/180.5 × 100 = 20%

20 The price of cooking oil has increased by 25%. The percentage of reduction that a family should effect in the use of cooking oil so as not to increase the expenditure on this account is

Let original price = 100
Original quantity = 100
Total expenditure = 100 × 100
New price = 100 + 25 = 125
New quantity = Q
As expenditure is to be kept same, 100 × 100 = 125 × Q
Q = (100 × 100)/125 = 80. % reduction in quantity = 100 - 80 = 20

CTET Maths MCQ - Percentage

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