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

Question :11

In a examination it is required to get 40% of the aggregate marks to pass. A student gets 265 marks and is declared failed by 55 marks. What is the maximum aggregate marks a student can get ?

Answer: (c)

Let the maximum marks be x

$(265 + 55) = {40x}/100$

or 320 × 100 = 40x

$x = {320 × 100}/40 = 800$

Question :12

A man buys a house for Rs. 100000 and rents it. He puts 12.5% of each month’s rent aside for upkeep & repairs, pays Rs. 325 per year as taxes and realizes 5.5% annually on his investment. Find the monthly rent.

Answer: (a)

We have 5.5% of 100000

= Rent – 12.5% of Rent – 325.

$5500/12 = \text"Rent" - \text"Rent"/8 - 325/12$

$5500/12 + 325/12 = 7/8$ × Rent

Rent = $5500/12 × 8/7$ = Rs. 554.76 per month.

Question :13

35% of 160 + ?% of 180 = 50% of 310

Answer: (a)

$160 × 35/100 + {180 × ?}/100 = {310 × 50}/100$

or 160 × 35 + 180 × ? = 310 × 50

or 5600 + 180 × ? = 15500

or 180 × ? = 15500 – 5600 = 9900

or ? = $9900/180$ = 55

Question :14

What is 25% of 50% of $2/3$ rd of 630 ?

Answer: (b)

$? = 630 × 2/3 × 50/100 × 25/100$

⇒ ? = ${210 × 50 × 25 × 2}/{100 × 100}$

⇒ ? = $210/4$ = 52.5

Question :15

The difference between 89% of a number and 73% of the same number is 448. What is 49% of that number ?

Answer: (a)

∴ (89 – 73)% of the number = 448

Number = ${448 × 100}/16$ = 2800

49% of 2800 = ${2800 × 49}/100$ = 1372

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