percentages Model Questions & Answers, Practice Test for ssc mts paper 1 2023

Question :6

Shilpa spent 8% on school fees, 25% on rent and 17% on furniture. 25% of the remaining amount was spent on medical bills and the remaining Rs. 6,000 was set aside for investment. How much money did she spend on rent ?

Answer: (c)

Let the income of Shilpa be = Rs. x

$[x - {(8 + 25 + 17)x}/100](1 - 25/100)$ = 6000

${50x}/100 × 75/100 = 6000$

$x = {6000 × 100 × 100}/{50 × 75}$ = 16,000

∴ Expenditure on rent = 16000 × $25/100$ = Rs. 4000

Question :7

Latika spends 45% of her monthly income on food and 30% of the monthly income on transport. Remaining amount Rs.4500 She saves. What is her monthly income?

Answer: (a)

Percentage of income saved

= 100 – (45 + 30) = 25%

∴ 25% of x = 4500

$x = 4500 × 100/25 = 18000$

Question :8

An inspector rejects 0.08% of the metres as defective. How many metres will he examine to reject 2 metres?

Answer: (c)

Let the inspector examined x metres,

then 0.08% of x = 2

${x × 0.08}/100 = 2$

or $x = 200/0.08 = 2500$ metres

Question :9

38L of milk was poured into a tub and the tub was found to be 5% empty. To completely fill the tub, what amount of additional milk must be poured?

Answer: (a)

Let tub capacity xL.

Now, $x × 95/100 = 38$

x = 40 L,

Additional milk = 40 L – 38 L = 2L.

Question :10

45% of a number is 255.6. What is 25% of that number?

Answer: (d)

According to the question,

$x × 45/100 = 255.6$

or $x = 255.6 × 20/9$ = 568

25% of number = $x × 25/100$

= $568 × 25/100$ = 142

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