57% of Ranita’s weekly income is equal to 76% of Bhaskar’s weekly income. If Ranita’s weekly income was reduced by Rs 400, while Bhaskar’s weekly income did not change, the ratio of the weekly incomes of Ranita and Bhaskar, respectively, would have been 6 : 5. What is Bhaskar’s weekly income (in Rs)?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 3000.
Let Ranita and Bhaskar's weekly income be x and y respectively.
57% of Ranita’s weekly income is equal to 76% of Bhaskar’s weekly income.
⇒ 57% of x = 76% of y
⇒ 57x = 76y
⇒ x = 4y/3 ...(1
According to the question;
⇒ (x - 400)/y = 6/5
⇒ 5x - 2000 = 6y
⇒ 5(4y/3) - 2000 = 6y [Putting value of x from eq(1]
⇒ (20y/3) - 6y = 2000
⇒ 20y - 6000 = 18y
⇒ 2y = 6000
⇒ y = Rs. 3000