percentage Model Questions & Answers, Practice Test for ssc cgl tier 2

ssc cgl tier 2 SYLLABUS WISE SUBJECTS MCQs

Number System

Percentage

Averages

Question :26

If the numerator of a fraction is increased by 500% and the denominator is increased by 300%, the resultant fraction is 2$4/7$. What was the original fraction?

Answer: (a)

Let the original fraction be $x/y$.

Then, ${x + 5x}/{y + 3y} = 2{4}/7$

${6x}/{4y} = 18/7$

$x/y = 72/42 = 12/7$

Question :27

$1/2$ of 3842 + 15% of ? = 24499

Answer: (c)

$1/2$ of 3842 + 15% of ? = 2449

$1921 + x + 15/100 = 2449$

$x × 15/100$ = 2449 - 1921

$x = {528 × 100}/15$ = 3520

Question :28

If a% of a + b% of b = 2% of ab, then what percent of a is b ?

Answer: (c)

${a × a}/100 + {b × b}/100 = 2/100 ab$

$a^2 + b^2 = 2ab$

$a^2 + b^2 – 2ab$ = 0

$(a – b)^2$ = 0

a = b

∴ a is 100% of b

Question :29

The expenditure of a household for a certain month is Rs. 20,000, out of which Rs. 8,000 is spent on education, Rs. 5,900 on food, Rs. 2,800 on shopping and the rest on personal care. What percentage of expenditure is spent on personal care?

Answer: (a)

Total Expenditure = 2000 Rs.

Education Expenditure = 8000

Food Expenditure = 5900

Shopping Expenditure = 2800

Personal care Expenditure

= 20000 – (8000 + 5900 + 2800)

= 20000 – 16700 = 3300 Rs.

Percentage of expenditure on personal care

= $\text"Personal care expenditure"/\text"total expenditure" × 100$

= $3300/2000 × 100 = 16.5%$

∴ Option (b) is correct.

Question :30

In a certain examination there were 2500 candidates, of them 20% are girls and the rest boys. Suppose 5% of boys and 40% of girls failed. The percentage of candidates who passed was

Answer: (c)

Number of girls = ${2500 × 20}/100$ = 500

Number of boys = 2000

Number of fail boys = ${2500 × 5}/100$ = 100

Number of fail girls = ${500 × 40}/100$ = 200

Total no. of pass students = 2500 – 300 = 2200

Pass % = $2200/2500 × 100$ = 88%

ssc cgl tier 2 IMPORTANT QUESTION AND ANSWERS
Percentage ssc cgl tier 2 question answer with explanation PDF

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