Question

Aditya has $5$ exams in an academic year. His marks increase by $2\%$ based on his previous test marks. If Aditya scores $70$ in his $1$st exam, what is his score in the last academic exam?

• A. 74
• B. 77
• C. 87
• D. 76

Answer 1

The correct option is D

76

Let Aditya's score in the 5th exam be $x$

$x=scoreinthe1stexam(1+\frac{r}{100}{)}^4$

[The power is taken as 4 because the increase in the marks is calculated from the 2nd exam. Therefore, for the 5th exam, the power is 5 - 1 = 4]

$x=70(1+\frac{2}{100}{)}^4$​

On solving, we get $x=75.77\approx 76$