percentages Model Questions & Answers, Practice Test for ssc chsl tier 1 2023

Question :1

Mr. A is a computer programmer. He is assigned three jobs for which time allotted is in the ratio of 5 : 4 : 2 (job are needed to be done individually). But due to some technical snag, 10% of the time allotted for each job gets wasted. Thereafter, owing to the lack of interest, he invests only 40%, 30%, 20% of the hours of what was actually allotted to do the three jobs individually. Find how much percentage of the total time allotted is the time invested by A.

Answer: (b)

Let the initial times allotted be : 50, 40 and 20 hours.

Then, the time used in each activity is:

20, 12 and 4 hours. Thus, 36 hours out of 110 are used in all.

Hence, the answer is 36/110 = 32.72%

Question :2

A water pipe is cut into two pieces. The longer piece is 70% of the length of the pipe. By how much percentage is the longer piece longer than the shorter peice?

Answer: (a)

Percentage of longer pipe as compare to shorter pipe

= ${70 - 30}/30 × 100 = 40/30 × 100 = 400/3%$

Question :3

If the radius of a circle is diminished by 10%, the area is diminished by

Answer: (b)

If the radius is diminised by r %, then

Area is diminished by $(2r - r^2/100) %$

= $2 × 10 - 10^2/100 = 19 %$

Question :4

A shopkeeper employed a servant at a monthly salary of Rs. 1500. In addition to it, he agreed to pay him a commission of 15% on the monthly sale. How much sale in Rupees should the servant do if he wants his monthly income as Rs. 6000?

Answer: (b)

Servant's commission amount

= 6000 – 1500 = Rs. 4500

i.e., 15% = 4500

or, 100% = $4500/15$ ×100 = Rs. 30000

Question :5

On a test containing 150 questions carrying 1 mark each, Mohan answered 80% of first 75 questions correctly. What percent of the other 75 questions does he need to answer correctly to score 60% in the examination ?

Answer: (d)

Total marks to score = ${150 × 60}/100$ = 90

Marks obtained in first 75 questions

= ${75 × 1 × 80}/100$ = 60

∴ Marks to be obtained in next 75 questions = 90 – 60 = 30

∴ % of questions to be answered correctly

= $({30 × 1 × 100}/75)$ % = 40%

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