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

Question :26

In an examination 75% candidates passed in English and 60% passed in Mathematics. 25% failed in both and 240 passed the examination. Find the total number of candidates.

Answer: (d)

Let the total number of students be x.

Let A and B represent the sets of students who passed in English and Mathematics respectively.

Then, number of students passed in one or both the subjects

= n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

= 75% of x + 60% of x – (x – 25% of x)

= $3/4x + 3/5x - 3/4x = 3/5x$

So, $3/5$ x = 240

$x = {240 × 5}/3 = 400$

Question :27

The number of workers in the employment guarantee scheme increased by 15 which resulted into an increase of 20%. What was the initial number of workers?

Answer: (a)

Let initial number of workers = x

∴ 20 % of x = 15

$20/100 × x = 15$

∴ x = 75

Question :28

A person purchases 100 pens at a discount of 10%. The net amount of money spent by the person to purchase the pens is Rs. 600. The selling expenses incurred by the person are 15% on the net cost price. What should be the selling price for 100 pens in order to earn a profit of 25% ?

Answer: (b)

Cost price = Money spent by the person to purchase + selling expenses

$600 + (600 × 15/100) = 690$

Hence, selling price = $690(1 + 25/100) = 862.50$

Question :29

In a college election between two candidates, one candidate got 55% of the total valid votes. 15% of the votes were invalid. If the total votes were 15,200, what is the number of valid votes the other candidate got ?

Answer: (d)

Total valid votes = 85% of 15200 = 12920

∴ Number of valid votes to other candidate

= 45% of 12920 = 5814

Question :30

HR company employees 4800 people, out of which 45 percent are males & 60 percent of the males are either 25 years or older. How many males are employed in that HR company who are younger than 25 years ?

Answer: (d)

Male employees less than 25 years of age

= $4800 × 45/100 × 40/100 = 864$

(∴ 60% are above 25, therefore it implies that 40% are below 25)

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