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

Question :26

If 125% of x is 100, then x is :

Answer: (b)

$125/100 × x = 100$

$x = {100 × 100}/125 = 80$

Question :27

65% of a number is more than its $2/5$ th by 140. What is 30% of that number ?

Answer: (a)

Let the number be x

65% of x – ${2x}/5$ = 140

${65x}/100 - {2x}/5 = 140$

${65x - 40x}/100$ = 140

${25x}/100$ = 140

$x = 140 × 100/25$ = 560

30% of 560 = 168.

Question :28

If the numerator of a fraction be increased by 15% and its denominator be diminished by 8%, the value of the fraction is $15/16$. Find the original fraction.

Answer: (d)

Let the original fraction be $x/y$

Then, $\text"115% of x"/\text"92% of y" =15/16$

${115x}/{92y} = 15/16$

$x/y = (15/16 × 92/115) = 3/4$

Question :29

15% of 6500 = ? % of 12500

Answer: (d)

$15/100 × 6500 = ?/100 × 12500$

? = ${15 × 6500}/12500$ = 7.8

Question :30

Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than the number X ?

Answer: (b)

Let value of Z be 100

Then, X = Z – 20 = 100 – 20 = 80

Y = Z – 28 = 100 – 28 = 72

∴ $\text"Y - X"/\text"X"(100) = {72 - 80}/80 × 100$ = – 10 %

Hence, Y is 10% less than the number X.

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