Rajan got 76 percent marks and Sonia got 480 marks in a test. The maximum marks of the test equal to the marks obtained by Rajan and Sonia together. How many marks did Rajan score in the test ?

A. 1450

B. 1520

C. 1540

D. 2000

E. None of these

Answer: Option B

Solution(By Examveda Team)

Let the maximum marks be $$x$$
Then,
76% of $$x$$ + 480 = x
⇒ $$x$$ - 76% of $$x$$ = 480
⇒ 24% of $$x$$ = 480
⇒ $$\frac{24x}{100}$$ = 480
⇒ $$x$$ = $$\left( {\frac{{480 \times 100}}{{24}}} \right)$$
⇒ $$x$$ = 2000
∴ Marks score by Rajan :
= 76% of 2000
= $$\left( {\frac{{76}}{{100}} \times 2000} \right)$$
= 1520