Consider the following statements:
I. 15% of 240 is equal to 24% of 150.
II. 40% of 60% of 500 is 120.
Which of the above statements is/are correct?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Both I and II
\(a\%\) of \(b=\displaystyle\frac{a\times b}{100}\); a percentage of a percentage is found by multiplying the two fractions in turn.
I. 15% of 240 is equal to 24% of 150. — Correct. Both work out to 36.
15% of 240 \(=\displaystyle\frac{15\times240}{100}=36\)
24% of 150 \(=\displaystyle\frac{24\times150}{100}=36\)
II. 40% of 60% of 500 is 120. — Correct. Taking the percentages one after the other gives 120.
60% of 500 \(=300\)
40% of 300 \(=120\)