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The salary of Pavan and Chandan are in the ratio 3 ∶ 5. If the salary of each increases by Rs. 4500, then the new ratio of their salary becomes 7 ∶ 9. What is Chandan's initial salary?

The salary of Pavan and Chandan are in the ratio 3 ∶ 5. If the salary of each increases by Rs. 4500, then the new ratio of their salary becomes 7 ∶ 9. What is Chandan's initial salary? Correct Answer None of these

Given:

The ratio of Pavan and Chandan’s salary = 3 ∶ 5

After the salary of each increase by Rs. 4500, the ratio becomes 7 ∶ 9

Calculation:

The ratio of Pavan and Chandan’s salary is 3 ∶ 5

Let the original salary of Pavan and Chandan be 3k and 5k respectively.

After salary of each increases by Rs. 4500, the ratio becomes 7 ∶ 9

Then,

⇒ (3k + 4500) / (5k + 4500) = 7 / 9

⇒ 9 × (3k + 4500) = 7 × (5k + 4500)

⇒ 27k + 40500 = 35k + 31500

⇒ 8k = 9000

⇒ k = 1125

But we have to find the initial salary of Chandan, then

The initial salary of Chandan = 5k

Now put the value of k

⇒ 5k = 5 × 1125 = Rs. 5625

∴ Chandan's initial salary is Rs. 5625

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