SSC CGL 17 Aug 2021 Shift 3 Paper

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Question : 59 of 100

Marks: +1, -0

The cost price and the marked price of an item are

₹ 720

and

₹ 900

respectively. When it is sold at a discount of

x \%

, the profit is

\;{5 x}/{3} \%

.
What is the value of

x \%

?

$5 \;{5}/{7}$
$5 \;{4}/{7}$
$7 \;{4}/{7}$
$8 \;{4}/{7}$

Solution:

Given cost price

=₹ 720

,
Marked price

=₹ 900

Discount

=x \%

,
Profit

=\;{5 x}/{3} \%

According to the formulas's

\;\;{ {CP}}/{ {MP}}=\;{100-\;\text " Discount\% "\;}/{100+\;\text " Profit\% "\;}

⇒ \;\; \;{720}/{900}=\;{100-x}/{100+\;{5 x}/{3}}

⇒ \;\; \;{4}/{5}=\;{(100-x)}/{(100+\;{5 x}/{3})}

⇒ \;\; 4(100+\;{5 x}/{3})=5(100-x)

⇒\; \;\; 400+\;{20 x}/{3}=500-5 x

\;\;{20 x}/{3}+5 x=500-400

⇒\;\;{(20 x+15 x)}/{3} \;\; =100

⇒\;35 x \;\; =3 × 100

∴ \;x \;\; =\;{60}/{7}=8 \;{4}/{7} \%

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