Arrange the following in decreasing order.
(A) 24% of 25
(B) 18% of 30
(C) 11% of 55
(D) 16% of 50
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (D), (C), (A) and (B)
Each value is worked out as \(x\%\) of \(y=\frac{x\times y}{100}\) and the four are then compared.
(D) 16% of 50 — \(\displaystyle\frac{16\times50}{100}=\) 8, the largest.
(C) 11% of 55 — \(\displaystyle\frac{11\times55}{100}=\) 6.05.
(A) 24% of 25 — \(\displaystyle\frac{24\times25}{100}=\) 6, just below (C).
(B) 18% of 30 — \(\displaystyle\frac{18\times30}{100}=\) 5.4, the smallest.
Tip: \(x\%\) of \(y\) is the same as \(y\%\) of \(x\), so pick the easier one: 24% of 25 is 25% of 24, a quarter of 24, which is 6; and 16% of 50 is 50% of 16, which is 8.