of Ranita's weekly income is equal to of Bhaskar's weekly income. If Ranita's weekly income is decreased by while Bhaskar's weekly income remains unchanged, the ratio of the weekly incomes of Ranita and Bhaskar becomes respectively. What is the weekly income of Bhaskar (in )?
- A
- B
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- D
Solution & Step-by-step Explanation
Let Ranita's weekly income be and Bhaskar's weekly income be .
Step 1: Set up the relation from the percentage condition
Dividing both sides by :
Step 2: Set up the equation from the ratio condition
If Ranita's income is decreased by , her new income is . Bhaskar's income remains .
Cross-multiplying gives:
**Step 3: Substitute the value of from Step 1 into Step 2**
Therefore, Bhaskar's weekly income is .
Step 1: Set up the relation from the percentage condition
Dividing both sides by :
Step 2: Set up the equation from the ratio condition
If Ranita's income is decreased by , her new income is . Bhaskar's income remains .
Cross-multiplying gives:
**Step 3: Substitute the value of from Step 1 into Step 2**
Therefore, Bhaskar's weekly income is .