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

Question :6

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 :7

A businessman allows two successive discounts of 20% and 10%. If he gets Rs. 108 for an article, then its marked price is

Answer: (a)

Let the marked price = Rs. x

After a discount of 20% price = $x - 20/100x = Rs. {4x}/5$

After a 10% discount on new price

$= {4x}/5 - 10/100 × {4x}/5$

= Rs.${4x}/5 - {2x}/25$

= Rs. ${18x}/25$

As given ${18x}/25$ = 108

⇒$x = {108 × 25}/18$ = Rs.150

Question :8

An inspector rejects 0.08% of the metres as defective. How many metres will he examine to reject 2 metres?

Answer: (c)

Let the inspector examined x metres, then 0.08% of x = 2

${x × 0.08}/100$ = 2

or $x = 200/0.08$ = 2500 metres

Question :9

12% of 550 + ?% of 320 = 82

Answer: (b)

${550 × 12}/100 + {320 × ?}/100 = 82$

66 + 3.2 × ? = 82

3.2 × ? = 82 – 66

? = $16/3.2 = 5$

Question :10

The difference between 58% of a number and 39% of the same number is 247. What is 82% of that number ?

Answer: (a)

(58 – 39)% of number

Number = ${247 × 100}/19 = 1300$

1300 × $82/100$ = 1066

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