Salaries of Rida and Riya are in the ratio of 3 : 5, respectively. If the salary of each one is increased by Rs. 5,000, then the new ratio becomes 5 : 7. What is Riya’s present salary?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 1)
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  1. Rs. 12,500
  2. Rs. 7,500
  3. Rs. 2,500
  4. Rs. 10,000

Answer (Detailed Solution Below)

Option 1 : Rs. 12,500
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Detailed Solution

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Given:

The salaries of Rida and Riya are in the ratio of 3 : 5, respectively.

If the salary of each one is increased by Rs. 5,000, then the new ratio becomes 5 : 7. 

Calculation:

Let the present salaries of Rida and Riya be 3k and 5k respectively.

According to the question,

(3k + 5000) : (5k + 5000) = 5 : 7

⇒ 21k + 35000 = 25k + 25000

⇒ 4k = 10000

⇒ k = 2500

⇒ 5k = 12500

∴ The present salary of Riya is Rs. 12,500.

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