A shopkeeper sells two tables, each procured at cost price p, to Amal and Asim at a profit of 20% and at a loss of 20%, respectively. Amal sells his table to Bimal at a profit of 30%, while Asim sells his table to Barun at a loss of 30%. If the amounts paid by Bimal and Barun are x and y…

Question

A shopkeeper sells two tables, each procured at cost price p, to Amal and Asim at a profit of 20% and at a loss of 20%, respectively. Amal sells his table to Bimal at a profit of 30%, while Asim sells his table to Barun at a loss of 30%. If the amounts paid by Bimal and Barun are x and y, respectively, then (x - y) / p equals

Accepted Answer

1 — Easy Chain the multipliers. Amal's branch is $+20\%$ then $+30\%$; Asim's branch is $-20\%$ then $-30\%$. Express $x$ and $y$ as multiples of $p$ and subtract. 1 Bimal's price $x$. Shopkeeper $	o$ Amal at $+20\%$, then Amal $	o$ Bimal at $+30\%$. $$\begin{aligned} &x = p	imes 1.2	imes 1.3 = 1.56\,p \end{aligned}$$ 2 Barun's price $y$. Shopkeeper $	o$ Asim at $-20\%$, then Asim $	o$ Barun at $-30\%$. $$\begin{aligned} &y = p	imes 0.8	imes 0.7 = 0.56\,p \end{aligned}$$ 3 Compute the ratio.

CAT 2019 Slot 2 — QA Question 33

Answer & solution

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