Question

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.

• A. Rs. 4000
• B. Rs. 10000
• C. Rs. 8000
• D. Rs. 6000

Answer 1

Answer:

C. Rs. 8000

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,

$\frac{(4x + 5000)}{(5x + 5000)}=\frac{13}{15}$

 

⇒ 60x + 75000 = 65x + 65000 

⇒ 5x = 10000

⇒ x = 2000

Current salary of $X = 4\times2000 = Rs. 8000$

∴ X's salary is Rs. 8000.