Question

In the final examination, Bishnu scored 52% and Asha scored 64%. The marks obtained by Bishnu is 23 less, and that by Asha is 34 more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored 84%, is

• A. 439
• B. 399
• C. 357
• D. 417

Answer 1

The Correct Option is B

The correct answer is (B): $399$

Let the total marks be $T$ and scores of Bishnu, Asha and Ramesh be $a$, $b$ and $c$ respectively. 

Given, $a$ = $52\%$ of $T$ = $c-23$ and $b= 64\%$ of $T$ = $c+34$

Hence, $(64-52)\%$ of $T$=$(c+34)-(c-23)$ = $57$

i.e. $12\%$ of $T$ = $57$

Hence, score of Geeta = $84\%$ of $T$ = $7×57=399$

Answer 2

Let total marks be $100x$.
Marks obtained by Bishnu  $=52x$
Marks obtained by Asha $= Mx$
Marks obtained by Ramesh $= 52x+23$
Marks obtained by Ramesh $= 64x-34$
$⇒ 52x+23 = 64x-34$
$⇒  64x-52x = 34+23$
$⇒ 12x = 57$
$⇒ x = \frac {57}{12}$

$⇒ x = \frac {19}{4}$
Marks obtained by Geeta $=84x$
$= 84 \times \frac {19}{4}$
$=21 \times 19$
$=399$

So, the correct option is (B): $399$