Question

In an examination where full marks were $800$, A gets $20\%$ more than B, B gets $20\%$ more than C, and C gets $15\%$ less than D. If A got $576$, what percentage of full marks did D get approximately ?

• A. $45.7\%$
• B. $51.2\%$
• C. $58.8\%$
• D. $61.7\%$

Answer 1

The correct option is C $58.8\%$

$\Rightarrow$ A got 576 marks out of 800.

$\Rightarrow$ So, percentage A got = $\frac{576}{800}\times 100=72\%$

$\Rightarrow$ A got $20\%$ more than B means $120\%$ of B.

$\Rightarrow$ Percentage B got = $\frac{72}{120}\times 100=60\%$

$\Rightarrow$ B got $20\%$ more than C means $120\%$ of C.

$\Rightarrow$ Percentage C got = $\frac{60}{120}\times 100=50\%$

$\Rightarrow$ C got $15\%$ less than D means $85\%$ of D

$\Rightarrow$ Percentage D got = $\frac{50}{85}\times 100=58.8\%$