40 of Ranita rsquo s income is equal to 56 of Bhaskar rsquo s income If Ranita rsquo s income was 80...........

Quantitative Aptitude (CHSL) Percentage

40% of Ranita’s income is equal to 56% of Bhaskar’s income. If Ranita’s income was ?800 more than what it is and Bhaskar’s

income was Rs 2,000 more than what it is, then the ratio of the incomes of Ranita and Bhaskar would have been 4 : 3. What is

the actual combined income of Ranita and Bhaskar?

This questions was previously asked in

SSC CHSL 9th June 2022 Shift-1

Rs67,200

Rs68,200

Rs66,800

Rs67,800

Let’s break it down:

- Let Ranita’s income = R, Bhaskar’s income = B.

- From the first statement: 40% of R = 56% of B ? 0.4R = 0.56B ? R = 1.4B.

- If Ranita had ?800 more and Bhaskar ?2,000 more: (R+800)/(B+2000) = 4/3.

- Cross-multiplied: 3(R+800) = 4(B+2000) ? 3R + 2,400 = 4B + 8,000.

- Substitute R = 1.4B: 3(1.4B) + 2,400 = 4B + 8,000 ? 4.2B + 2,400 = 4B + 8,000.

- 0.2B = 5,600 ? B = 28,000.

- Therefore, R = 1.4 × 28,000 = 39,200.

- Total combined income = 39,200 + 28,000 = 67,200.

?? Correct Answer: Option 1 – Rs 67,200

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