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): \(399\)