Q152
ArithmeticPercentage, Profit & Loss
P is greater than Q by 60% and greater than R by 30%. The ratio of Q and R is ______.
- a.1:2
- b.2:1
- c.13:16
- d.16:13
Answer: (C) 13:16
$P = 1.6Q$ and $P = 1.3R$, so $1.6Q = 1.3R$ and $Q:R = 1.3:1.6 = 13:16$. With numbers: if $P = 208$, then $Q = 130$ and $R = 160$. The trap option 16:13 comes from inverting the ratio; remember that P exceeds Q by more, so Q must be the smaller of the two.