Question

Fifty-three percent of a number is 358 less than the square of 26. What is the value of three-fourths of twenty-three percent of that number?

• A. 101
• B. 109.5
• C. 113
• D. 103.5
• E. None of these

Answer 1

The correct option is D 103.5

Let the number be x
$Then,53\%ofx=(26{)}^2-358$
$\Rightarrow \frac{53}{100}\times x=676-358$
$\Rightarrow x=\frac{318\times 100}{53}=600$
$So,\frac{3}{4}\times 23\%\times 600\Rightarrow \frac{3}{4}$
$=69\times 1.5=103.5$