Question
Download Solution PDF42% of Ranita's weekly income is equal to 56% of Bhaskar's weekly income. If Bhaskar's weekly income was raised by Rs. 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 Rs.)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
42% of Ranita's weekly income = 56% of Bhaskar's weekly income.
If Bhaskar's weekly income was raised by Rs. 200, while Ranita's weekly income did not change, the ratio of the weekly incomes of Ranita and Bhaskar would have been 5 ∶ 4.
Formula Used:
Let Ranita's weekly income be R and Bhaskar's weekly income be B.
0.42R = 0.56B
R / (B + 200) = 5 / 4
Calculation:
0.42R = 0.56B
⇒ R = (0.56 / 0.42)B
⇒ R = (4 / 3)B
R / (B + 200) = 5 / 4
⇒ (4 / 3)B / (B + 200) = 5 / 4
⇒ 4 × (4 / 3)B = 5 × (B + 200)
⇒ (16 / 3)B = 5B + 1000
⇒ 16B = 15B + 3000
⇒ B = 3000
R = (4 / 3) × 3000
⇒ R = 4000
∴ The correct answer is option (2).
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