Question
Download Solution PDF57% 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.)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
57% of Ranita's weekly income = 76% of Bhaskar's weekly income
Ranita's weekly income reduced by Rs. 400
Ratio of weekly incomes of Ranita and Bhaskar = 6:5
Concept Used:
We need to set up equations based on the given percentages and ratio, then solve for Bhaskar's weekly income.
Formula Used:
Let Ranita's weekly income be R and Bhaskar's weekly income be B.
57% of R = 76% of B
(57/100)R = (76/100)B
R - 400 = (6/5)B
Calculation:
(57/100)R = (76/100)B
⇒ 57R = 76B ...(1)
R - 400 = (6/5)B
⇒ 5R - 2000 = 6B ...(2)
From equation (1):
⇒ R = (76/57)B
Substitute R in equation (2):
⇒ 5(76/57)B - 2000 = 6B
⇒ (380/57)B - 2000 = 6B
⇒ (380/57)B - 6B = 2000
⇒ (380B - 342B) / 57 = 2000
⇒ 38B / 57 = 2000
⇒ 38B = 2000 × 57
⇒ 38B = 114000
⇒ B = 114000 / 38
⇒ B = 3000
∴ Bhaskar's weekly income is Rs. 3000.
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