SSC CGL 20 Aug 2021 Shift 1 Paper

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Question : 75 of 100

Marks: +1, -0

A sold an Article to

B

at a profit of

25 \%

. B sold it to

C

at a profit of

15 \%

. The profit made by

B

is

₹ 40

less than the profit made by

A

. What is the cost price (in ₹) of the article for

A

?

240
640
546
400

Solution:

Let CP of article is

₹ 100 x

.
A sold to

B

at

25 \%

profit.

=100 x × \;{125}/{100}

=₹ 125 x

[ ∵ {SP}= {CP} × \;{(100+P \%)}/{100}]

B

sold to

C

at

15 \%

profit

=125 x × \;{115}/{100}=₹ \;{575}/{4} x

A's profit

=125 x-100 x=₹ 25 x

B^{'}

s profit

=\;{575}/{4} x-125 x

=\;{575 x-500 x}/{4}=₹ \;{75}/{4} x

According to the question,

⇒ \;\; 25 x-\;{75}/{4} x=40

⇒ \;{(100 x-75 x)}/{4}=40

⇒ \;\; x=\;{160}/{25}

∴ \;\text " The cost price of Article "\; A

\;\; =100 x=100 × \;{160}/{25}

\;\; =4 × 160=₹ 640

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