percentages Model Questions & Answers, Practice Test for ibps clerk prelims 2023

Question :16

If the production of a factory grows at a 8% p.a., what will be its production for the year 2006 if its production in 2004 was 70 lakh tonnes?

Answer: (e)

Required production = 70$(1 + 8/100)^2$ lakh tonnes

= 70$(1 + 2/25)^2$ lakh tonnes

= 70 × $27/25 × 27/25$ = 81.648 lakh tonnes

Question :17

A number when reduced by 10% gives 30. The number is

Answer: (c)

Let the number is x.

According to question

x – 10% of x = 30

$x - 10/100x$ = 30

$({100 -10}/100)x = 30$

$x = {30 × 100}/90 = 33{1}/3$

Hence, the number is 33$1/3$

Question :18

60% of $8{1}/4 + 6/5$ = 15 - ?

Answer: (c)

$15 - 6/5$ - 60% of 8$1/4$

= 13.8 - $60/100 × 33/4$

= 13.80 – 4.95 = 8.85

Question :19

Mr. Khanna took a loan of Rs.10,000 on simple interest for two years at the rate of 3 p.c.p.a. The total amount that he will be paying as interest in 2 years is 3% of his monthly salary. What is his monthly salary?

Answer: (c)

SI = ${10,000 × 2 × 3}/100$ = 600

Let his monthly salary be x

3% of x = 600

$3/100 x$ = 600

$x = {600 × 100}/3$ = 20,000

Question :20

If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is $9/35$. What is the original fraction?

Answer: (e)

Fraction is $x/y$

${x + 200/100x}/{y + 150/100} = 9/35$

${x + 2x}/{y + 1.5y} = 9/35$

${3x}/{2.5y} = 9/35$

$x/y = {9 × 2.5}/{3 × 35} = 3/14$

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