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 ₹ 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?
Explanation:
Let Ranita's income be R and that of Bhaskar be B.
Given, 40% of R = 56% of B ⇒ 0.4R = 0.56B ⇒ R : B = 0.56 : 0.4 = 56 : 40 = 7 : 5
∴ R = 7x and B = 5x
Now, given:
(R + 800) : (B + 2000) = 4 : 3 ⇒ 3(7x + 800) = 4(5x + 2000) ⇒ 21x + 2400 = 20x + 8000 ⇒ x = 5600
∴ Combined income of R and B = 7x + 5x = 12x = 12 × 5600 = Rs. 67,200
Hence, option (a).
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Can we do this question by alligation
Solution updated.
The best way to solve this question is through ratios. Alligation would not be applicable here as we are not mixing quantities here.
Can we do this question by alligation
Solution updated.
The best way to solve this question is through ratios. Alligation would not be applicable here as we are not mixing quantities here.