# David and his wife each receives an 8 percent annual rise. If David receives a raise of Rs. 800 and his wife receives a raise of Rs. 840, what is the difference between their annual incomes after their raises ?

A. Rs. 40

B. Rs. 460

C. Rs. 500

D. Rs. 540

**Answer: Option D **

__Solution(By Examveda Team)__

Let David's annual income be Rs. x and his wife's annual income be Rs. yThen,

8% of x = 800

⇒ $$\frac{8}{100}$$x = 800

⇒ x = $$\left( {\frac{{800 \times 100}}{{8}}} \right)$$

⇒ x = 10000

And, 8% of y = 840

⇒ $$\frac{8}{100}$$y = 840

⇒ y = $$\left( {\frac{{840 \times 100}}{{8}}} \right)$$

⇒ y = 10500

∴ Required difference :

= [(10500 + 840) - (10000 + 800)]

= Rs. (11340 - 10800)

= Rs. 540

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