Salaries of X and Y are in the ratio 4 : 5. If the salaries are increased by Rs. 5000 each, then the ratio becomes 13 : 15. Find the salary of X.

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  1. Rs. 4000
  2. Rs. 10000
  3. Rs. 8000
  4. Rs. 6000

Answer (Detailed Solution Below)

Option 3 : Rs. 8000
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Detailed Solution

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Given:

Ratio of salaries of X and Y = 4 : 5.

Increased salary = 5000 each.

The new ratio of X and Y = 13: 15

Calculation:

Let the original salaries of X and Y be Rs 4x and Rs 5x respectively.

According to the question,

(4x + 5000)/(5x + 5000) = 13/15 

⇒ 60x + 75000 = 65x + 65000 

⇒ 5x = 10000

⇒ x = 2000

Current salary of X = 4 × 2000 = Rs. 8000

∴ X's salary is Rs. 8000.

Latest DSSSB Nursery Teacher Updates

Last updated on Jul 9, 2025

-> The DSSSB Nursery Teacher Exam will be conducted from 10th to 14th August 2025.

-> The DSSSB Assistant Teacher (Nursery) Notification was released for 1455 vacancies.

-> Candidates who are 12th-passed and have Diploma/Certificate in Nursery Teacher Education or B. Ed.(Nursery) are eligible for this post.

-> The finally selected candidates for the post will receive a DSSSB Assistant Teacher Salary range between Rs. 35,400 to Rs. 1,12,400.

-> Candidates must refer to the DSSSB Assistant Teacher Previous Year Papers to boost their preparation.

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