percentage Model Questions & Answers, Practice Test for ssc steno grade c d 2024

Question :6

40% of 15% of 3/4th of a number is 153. What is the number?

Answer: (b)

Number × $3/4 × 15/100 × 40/100 = 153$

Number = ${153 × 4 × 100 × 100}/{3 × 15 × 40}$ = 3400

Question :7

The product of one-third of a number and 150% of another number is what per cent of the product of the original numbers?

Answer: (b)

Let the original numbers be x and y and their product be xy.

Product of $1/3$ rd of x and 150% of $y = x/3 × 3/2y = {xy}/2$

Required answer = ${xy}/{2 × xy} × 100$ = 50%

Question :8

The price of petrol is increased by 25%. How much per cent must a car owner reduce his consumption of petrol so as not to increase his expenditure on petrol?

Answer: (a)

Let the price of petrol be 1

Increase in price = 25% = $1/4$

∴ New price of petrol = $1 + 1/4 = 5/4$ of original price

Let the expenditure be 1 and owner also wants to expend 1 (or Rs. 100)

∴ New quantity with the same amount = $4/5$ of original quantity

∴ Decrease in quantity = 1 - $4/5 = 1/5$ = 20%

Hence, owner must reduce 20% consumption of petrol

Question :9

The population of a town was 48600. It increased by 25% in the first year and decreased by 8% in the second year. What will be the population of the town at the end of 2 years?

Answer: (e)

Population after two years

= $48600 × 125/100 × 92/100$ = 55890

Question :10

A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ?

Answer: (a)

Number of runs made by running

= 110 – (3 × 4 + 8 × 6) = 50.

∴ Required percentage

= $(50/110 × 100) % = 45{5}/11$ %

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