SSC CGL 2023 PYQ — Question 69

SSC CGL - 17 July 2023 - Shift 2 • Quantitative Aptitude • Q69

Suhani pays tax at the rate of 30% on her entire income of Rs 90,000, and Ritika pays tax at the rate of 40% on her entire income of Rs y. If the overall tax rate on their combined income comes to 37%, then what is the value of y?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. Rs 2,10,000.

Suhani's income = Rs 90,000

Tax paid by Suhani = 30% of 90000

Ritika pays tax at the rate of 40% on her entire income of Rs y.

The overall tax rate on their combined income = 37%

According to the question,

⇒ 30% of 90000 + 40% of y = 37% of (90000 + y)

⇒ 27000 + 0.4y = 33300 + 0.37y

⇒ 0.4y - 0.37y = 33300 - 27000

⇒ 0.03y = 6300

⇒ y = 2,10,000