Rajan got 76 percent marks and Sonia got 480 marks in a test. The maximum marks of the test is equal to the… · ABC26GN2244
Subject: General Aptitude · Chapter: Percentage · Exam: Bank P.O. 2010
Rajan got 76 percent marks and Sonia got 480 marks in a test. The maximum marks of the test is 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
Answer (as printed): B
Explanation
Let the maximum marks be $x$. Then, 76\% of $x+480$ $$\begin{aligned} & =x \Rightarrow x-76 \% \text { of } x=480 \Rightarrow 24 \% \text { of } x=480 \\ & \Rightarrow \frac{24 x}{100}=480 \Rightarrow x=\left(\frac{480 \times 100}{24}\right)=2000 . \end{aligned}$$ ∴ Marks scored by Rajan = 76\% of 2000 $$=\left(\frac{76}{100} \times 2000\right)=1520 .$$
Explanation as extracted from the printed page; notation may be imperfect.