percentage Model Questions & Answers, Practice Test for ssc cgl tier 1 2024

Question :1

Mr. Nair's monthly salary is Rs.22,500. He took a loan of Rs.30,000 on simple interest for 3 years at the rate of 5 p.c.p.a The amount that he will be paying as simple interest in 3 years is what percent of his monthly salary?

Answer: (c)

SI = ${30,000 × 3 × 5}/100$ = 4500

x% of 22,500 = 4500

$x/100 × 22,500 = 4500$

$x = {4500 × 100}/{22,500}$ = 20%

Question :2

A company bought a total of 60 computers and 20 printers to modernise billing operations. If the price of each computer was three times the price of each printer then what per cent of the total cost of the purchase was the total cost of the printers ?

Answer: (b)

Suppose price of the printer = P

∴ Price of a computer = 3 P

Total cost of 60 computers = 180 P

Total cost of 20 printers = 20 P

∴ Total cost of the purchase = 200 P

Thus total cost of the printers is 10% of the total cost.

Question :3

A positive number is by mistake divided by 6 instead of being multiplied by 6. What is the % error on the basis of correct answer?

Answer: (a)

Let the number be x.

Then, % error = ${6x - x/6}/{6x} × 100 = 35/36 × 100$ = 97.2%

Question :4

One-eighth of a number is 17.25. What will 73% of the number be ?

Answer: (b)

According to the question,

∴ $\text"Number"/8$ = 17.25

or Number = 17.25 × 8 = 138

∴ 73% of 138 = $138 × 73/100$ = 100.74

Question :5

If the annual income of X is 20% more than that of Y, then the income of Y is less than that of X by p%. What is the value of p ?

Answer: (a)

Let income y = 100 % and difference = 20 %

∴ x = 120

Different = (120 – 100) = 20

Diff. percent = $100 × 20/120 = 100/6 = 16{2}/3$ %

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