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

Question :16

In the annual examination Mahuya got 10% less marks than Supriyo in Mathematics. Mahuya got 81 marks. The marks of Supriyo is

Answer: (a)

Marks of Supriyo = x marks

According to question

Mahuya marks = Supriyo marks – 10% of Supriyo marks

81 = x – 10% of x

$81 = x(1 - 10/100)$

81 = $9/10x ⇒ 810/9 = x$

x = 90 marks

Question :17

Mathew scored 42 marks in Biology, 51 marks in Chemistry, 58 marks Mathematics, 35 marks in Physics and 48 marks in English. The maximum marks a student can score in each subject are 60. How much overall percentage did Mathew get in this exam?

Answer: (d)

Marks scored by Mathew

= 42 + 51 + 58 + 35 + 48 = 234

Max. Marks = 60 × 5 = 300

Percentage scored = $234/300 × 100$ = 78%

Question :18

56% of a number is less than its 72% by 56. What is 70% of that number?

Answer: (e)

(72 – 56)% of x = 56

16% of x = 56

$x = 56 × 100/16 = 350$

70% of 350 = 245

Question :19

A’s income is 60% of B’s income, and A’s expenditure is 70% of B’s expenditure. If A’s income is 75% of B’s expenditure, find the ratio of A’s saving to B’s saving.

Answer: (a)

Let 100 units be B's income and X units be B's expenditure

A's income = 60 units.

A's expenditure = 70X/100 units.

But 60 = 75/100 x X ⇒ X = 80.

i.e., B's saving = (100 – 80) units = 20 units.

Hence A's saving = $60 - 70/100 × 80$ = 4 units.

i.e., A's saving : B's saving = 4 : 20 = 1 : 5.

Question :20

The monthly salaries of A and B together amount to Rs. 40,000. A spends 85% of his salary and B, 95% of his salary. If now their savings are the same, then the salary (in Rs.) of A is

Answer: (b)

Let the monthly salary of A be x, monthly salary of B is (40000 – x).

Savings of A = (100 – 85)% of x = 0.15x

Savings of B = (100 – 95)% of (40000 – x)

= 0.05 (40000 – x)

0.15 x = 0.05 (40000 – x)

0.15x + 0.05x = 40000 × 0.05

0.2x = 2000

x = 10000

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