In an examination, the score of A was 10% less than that of B, the score of B was 25% more than that of C, and the score of C was 20% less than that of D. If A scored 72, then the score of D was

Question

Accepted Answer

80 — Easy Translate each comparison into a multiplier and chain them. Work back from $A=72$ to $B$, then $C$, then $D$. 1 $A$ is $10\%$ less than $B$. So $A=0.9\,B$. $$\begin{aligned} &B=\frac{72}{0.9}=80 \end{aligned}$$ 2 $B$ is $25\%$ more than $C$. So $B=	frac{5}{4}C$. $$\begin{aligned} &C=\frac{4}{5}	imes 80=64 \end{aligned}$$ 3 $C$ is $20\%$ less than $D$. So $C=	frac{4}{5}D$. $$\begin{aligned} &D=\frac{5}{4}	imes 64=80 \end{aligned}$$ $$D=80$$

CAT 2019 Slot 2 — QA Question 17

Answer & solution