Management Aptitude Test Dec 2019 Paper

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Question : 83 of 200

Marks: +1, -0

A trader makes up the price of a product by

50 \%

above the cost price. If the discount is increased from

10 \%

to

20 \%

his profit comes down by

₹ 105 .

What is the cost price of the product?

$₹ 700$
$₹750$
$₹ 740$
$₹ 760$

Solution:

Let the

{\CP}=₹ x

, Marked price

=₹ {150}/{100} x=₹ {3 x}/{2}

Discount of

10 \%

on the MP, then

{\SP}=₹({90}/{100} × {3 x}/{2})=₹ {27 x}/{20}

Discount of

20 \%

on the MP gives

{\SP}=₹({80}/{100} × {3 x}/{2})={24 x}/{20}

Given,

{27 x}/{20}-{24 x}/{20}=105

⇒{3 x}/{20}=105

⇒x={105 × 20}/{3}=700

Thus,

{\CP}

of the product

=₹ 700

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