percentages Model Questions & Answers, Practice Test for ssc mts paper 1 2023

Question :11

Manish invests Rs. 3,960, which is 30% of his monthly income, in insurance policies. What is his monthly income?

Answer: (c)

Required monthly income

= ${3960 × 100}/30$ = Rs. 13200

Question :12

In an examination, Raman scared 25 marks less than Rohit. Rohit scored 45 more marks than Sonia. Rohan scored 75 marks which is 10 more than Sonia. Ravi's score is 50 less than, max marks of the test. What approximate percentage of marks did Ravi score in the examination, if he gets 34 marks more than Raman?

Answer: (a)

Sonia's score = 75 – 10 = 65

Rohit's score = 65 + 45 = 110

Raman's score = 110 – 25 = 85

Ravi's score = 85 + 34 = 119

Max. Marks = 119 + 50 = 169

Percentage marks of Ravi = $119/169 × 100$

= 70.4 ~ 70%

Question :13

The total number of boys in a school is 24% more than the total number of girls in the school. What is the respective ratio of the total number of boys to the total number of girls in the school?

Answer: (a)

Let the number of girls in the school be = 100

∴Number of boys = 124

∴ Required ratio = 124 : 100 = 31 : 25

Question :14

$33{1}/3$ % of a man's daily output is equal to 50% of a second man's daily output. If the second man turns out 1500 screws daily, then the first man's output in terms of making screws is:

Answer: (d)

Let the first man's output be x.

Then, 33$1/3$ % of x = 50% of 1500 ⇔ $(100/3 × 1/100 × x)$

= 750 ⇔ x = 750 × 3 = 2250.

Question :15

35 percent of a number is two times 75 percent of another number. What is the ratio between the first and the second number respectively?

Answer: (e)

Let the Ist number be x & the IInd number be y.

35% of x = 2 × 75% of y

${35x}/100 = {150y}/100$

$x/y = 150/35$ = 30 : 7

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