Simplification Ques 5

Question-

Fifty three per cent of a number is 358 less than the square of 26 . What is the value of threefourth of 23 per cent of that number?

(1) 101

(2) 109.5

(3) 113

(4) 103.5

(5) None of these

(Corporation Bank PO Exam. 16.01.2011)

Show Answer

Correct Answer: (4)

Solution: (4)

Let the number be $x$.

$\therefore 26^{2}-\frac{x \times 53}{100}=358$

$\Rightarrow 676-\frac{x \times 53}{100}=358$

$\Rightarrow \frac{x \times 53}{100}=676-358=318$

$\Rightarrow x=\frac{318 \times 100}{53}=600$

$\therefore 600 \times \frac{23}{100} \times \frac{3}{4}=103.5$