CAT 2023 Slot 1 Solved Paper

Question : 54 of 66

Marks: +1, -0

Gita sells two objects A and B at the same price such that she makes a profit of

20 \%

on object

A

and a loss of

10 \%

on object

B

. If she increases the selling price such that objects

A

and

B

are still sold at an equal price and a profit of

10 \%

is made on object

B

, then the profit made on object

A

will be nearest to

Solution:

Let us assume the initial selling prices of

A

and

B

p

.
Given, she made profit of

20 \%

{\A}⇒1.2{ }^* {\c}= {\p}⇒ {\c}=5 {\p} \/ 6⇒{\cost}

{\A}

\;{5}/{6} p

Given, she made a loss of

10 \%

{\B}⇒0.9 * {\c}= {\p}⇒ {\c}=10 {\p} \/ 9⇒{\cost}

{\B}

\;{10}/{9} p

Now, she sold them at a price such that a

10 \%

profit is made on

B

\;⇒ \;\text " Selling price "\;=s=11 \/ 10 * 10 \/ 9 p⇒\;{11}/{9} p

\;⇒ \;\text " Profit "\; \% \;\text " on "\; A=\;{ ({11}/{9}-{5}/{6}) }/{ (\;{5}/{6}) } × 100=46.66 \%=\;\text " nearly "\; 47 \%

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