SSC CGL 2021 PYQ — Question 90

SSC CGL - 24 Aug 2021 - Shift 3 • Reasoning • Q90

In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
John was an artist (1)______ profession. He was very (2)______ at his work and could
(3)______ any subject he could think of, but circumstances forced him to (4)______ in
(5)______ the work of renowned artists.

The income of three playback singers Aswath, Sunita, and Ramdin are in the ratio of 12: 9: 7 and their expenditures are in the ratio of 15: 9: 8. If Aswath saves 25% of his income, what is the ratio of the savings of Aswath, Sunita, and Ramdin?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 15: 18: 11.

Income ratio = 12x: 9x: 7x

Expenditure ratio = 15y: 9y: 8y

Savings ratio = (12x - 15y): (9x - 9y): (7x - 8y)

According to the question;

Aswath saves 25% of his income.

So, (12x - 15y) = 25% of 12x

⇒ 12x - 15y = 3x

⇒ 9x = 15y

⇒ x / y = 15 / 9

Thus, x = 15, y = 9

Saving of Aswath = (12x - 15y) = (12 × 15 - 15 × 9) = (180 - 135) = 45

Saving of Sunita = (9x - 9y) = (9 × 15 - 9 × 9) =  (135 - 81) = 54

Saving of Ramdin = (7x - 8y) = (7 × 15 - 8 × 9) = (105 - 72) = 33

Ratio of savings of Aswath: Sunita: Ramdin = 45: 54: 33 = 15: 18: 11