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A dealer purchased a ceiling fan for ₹391. After allowing a discount of 31% on its marked price, he still gains 68%. Find the marked price of the ceil
Question

A dealer purchased a ceiling fan for ₹391. After allowing a discount of 31% on its marked price, he still gains 68%. Find the marked price of the ceiling fan.

A.

₹902

B.

₹994

C.

₹927

D.

₹952

Correct option is D

Given
Cost Price (CP) = ₹391
Discount = 31%
Gain = 68%
Formula Used
MPCP=100+Gain%100Discount%\frac{MP}{CP} = \frac{100 + Gain \%}{100 - Discount \%}​​
Solution
Let the Marked Price be MP.
Substitute the given values into the formula:
MP391=100+6810031 MP391=16869\frac{MP}{391} = \frac{100 + 68}{100 - 31} \\\ \\\frac{MP}{391} = \frac{168}{69}​​

MP = 391×16869391 \times \frac{168}{69}​​

MP =  17×168317 \times \frac{168}{3}​​
MP = 17×5617 \times 56​​
MP = 952
Final Answer
So the correct answer is (d)

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