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A person selling an article for Rs.96 finds that his loss percent is one fourth of the amount of rupees that he paid for the article. What can be the cost price?

A) Rs.160 only
B) Rs.240 only
C) Rs.160 or Rs.240
D) Neither Rs.160 nor Rs.240

Correct Answer:



C) Rs.160 or Rs.240

Description for Correct answer:
Loss percent = \( \Large \left[ \frac{C.P - S.P}{C.P} \times 100 \right] \)%

\( \Large \frac{1}{4} C.P = \frac{(C.P - 96)}{C.P} \times 100 \)

\( \Large (C.P.)^{2} = [4(C.P.) - 96 x 4]100 \)

\( \Large (C.P.)^{2} - 400 C.P. + 38400 = 0 \)

C.P. = Rs. 240 or Rs.160

Option (C) is correct.

Part of solved CDS Maths(1) questions and answers : Exams >> CDSE >> CDS Maths(1)

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