CAT 2020 Exam Shift 3 Solved Paper

Question : 57 of 76

Marks: +1, -0

A man buys

35 {kg}

of sugar and sets a marked price in order to make a

20 \%

profit. He sells

5 {kg}

at this price, and

15 {kg}

at a

10 \%

discount. Accidentally,

3 {kg}

of sugar is wasted. He sells the remaining sugar by raising the marked price by p percent so as to make an overall profit of

15 \%

. Then

{p}

is nearest to

Solution:

Let the

{CP}

and

{MP}

of each

{kg}

of sugar be

10 {x}

and

12 {x}

respectively.
Total cost price

=35 × 10 x=350 x

Total selling price

=35 × 10 × × 1.15=402.5 x

Selling price already realized

=5 × 12 x+15 × 12 x × 0.9+3 × 0+12 × 12 x ×(1+p {/} 100)=402.5 x

60+162+0+144(1+p {/} 100)=402.5

p=25.34 \% ≈ 25 \%

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