42% of Ranita’s weekly income is equal to 56% of Bhaskar’s weekly income. If Bhaskar’s weekly income was raised by ₹ 200, while Ranita’s weekly income did not change, the ratio of the weekly incomes of Ranita and Bhaskar, respectively, would have been 5 : 4. What is Ranita’s weekly income (in ₹)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 4000.
Given that, 42% of Ranita’s weekly income = 56% of Bhaskar’s weekly income
Let the Ranita's weekly income be x and Bhaskar's weekly income be y.
According to the given question,
⇒ 42x = 56y
⇒ y = 3x/4
After the increase in the weekly income,
⇒ x : (3x/4 + 200) = 5 : 4
⇒ 4x = 5(3x/4 + 200)
⇒ 4x = 15x/4 + 1000
⇒ x/4 = 1000
⇒ x = 4000
Hence the Ranita’s weekly income (in ₹) is 4000.