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sergij07 [2.7K]
3 years ago
13

A man sold a fan for Rs. 400. Find the cost price if he incurred a loss of 15%.

Mathematics
1 answer:
statuscvo [17]3 years ago
7 0

Answer:

Cost price of the fan is \text {Rs. 470.59}.

Step-by-step explanation:

Given: A man sold a fan for  \text{Rs.}\:400. He incurred a loss of 15\%.

To find: The cost price of the fan

Solution:

We have,

Selling price, S.P.,  of the fan = \text{Rs.} 400

Loss =15\%

We know that \text {Loss\%}=\frac{\text{C.P.-S.P.}}{\text{C.P.}}\times100\%

Now let the C.P. of the fan be \text{Rs.} \:x

So, 15=(\frac{x-400}{x})\times 100

\implies 15x=100x-40000

\implies 100x-15x=40000

\implies 85x=40000

\implies x=\frac{40000}{85}

\implies x= 470.59

Hence, the cost price of the fan is \text {Rs. 470.59}.

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