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

Question :21

x, y and z are three numbers such that x is 30% of z and y is 40% of z. If x is p% of y, then what is the value of p ?

Answer: (d)

x = 30% of z = 30z/100 = 3z/10

y = 40% of z = 40z/100 = 4z/10

According to the question,

x = p% × y

p = $x/y × 100 = {{3z}/10}/{{4z}/100} × 100$

= ${3z}/{4z} × 100 = 3/4 × 100 = 75%$

Question :22

The wheat sold by a grocer contained 10% low quality wheat. What quantity of good quality wheat should be added to 150 kgs of wheat so that the percentage of low quality wheat becomes 5%?

Answer: (b)

Weight of low quality of wheat in 150 kgs of wheat

= ${150 × 10}/100$ = 15 kg.

Suppose that x kgs of good quality wheat is mixed.

According to the question,

${(x + 150) × 5}/100$ = 15 or, x = 150 kg.

Question :23

The population of a town is 126800. It increases by 15% in the 1st year and decreases by 20% in the 2nd year. What is the population of the town at the end of 2 years?

Answer: (b)

Population at the end of 2nd year

= 126800 × $(1 + 15/100) × (1 - 20/100)$

= $126800 × 115/100 × 80/100$ =116656

Question :24

The sum of 15% of a positive number and 10% of the same number is 70. What is twice of that number ?

Answer: (b)

Let the number be x

15% of x + 10% of x = 70

25% of x = 70

$x = 70 × 100/25 = 280$

Twice of that number = 280 × 2 = 560

Question :25

Sum of 3 consecutive numbers is 2262. What is 41% of the highest number ?

Answer: (e)

x + x + 1 + x + 2 = 2262

3x + 3 = 2262

3x = 2262 – 3 = 2259

$x = 2259/3$ = 753

Highest number = 753 + 2 = 755

41% of 755 = 309.55

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