NIFT UG 2020 Question Paper with solutions

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Question : 11 of 150

Marks: +1, -0

Pooja wants to sell a watch at a profit of

20 \%

. She bought it at

10 \%

less and sold it at

₹ 30

less, but still she gained

20 \%

. The cost price of watch is

₹ 220
₹ 225
₹ 240
₹ 250

Solution:

Let the CP of watch be

₹ x

.
Then,

{SP}=120 \%

of

x=₹ 1.2 x

New

{CP}

of the watch

=90 \%

of

x=₹ 0.9 x

and new

{SP}=120 \%

of

0.9 x=₹ 1.08 x

According to the question.

1.2 x-1.08 x=30

⇒ \;\; 0.12 x=30

⇒ \;\; x=₹ 250

Hence,

{CP}

of the watch is

₹ 250

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