Question

Jyoti buys a table fan at $ 25\% $ discount and sells it for $ Rs.660 $ making a profit of $ 10\% $ . What was the marked price of the fan?

Answer 1

Hint: First we have to define what the terms we need to solve the problem are.
Since we need to find the original market price of that fan, the given things are Jyoti sells that fan for $ Rs.660 $ she sells that fan for a profit of ten percent.
Thus, in this problem, we need to use the formula of the profit only because the selling happening of the fan is in the profit of ten percent.
Formula used: $ M.P = \dfrac{{C.P \times 100}}{{100 - discount}} $ where M.P is the market price (original price) and C.P is the cost price concerning the profit percent of $ 10 $ .

Complete step by step answer:
Let us have to find the cost price first since cost price can be written as in the form of $ C.P = S.P - 10\% (C.P) $ , where S.P is the selling price of the fan.
Since the selling price of the fan is $ Rs.660 $ and a profit of $ 10\% $ is the cost percent and thus apply these into the formula above we get; $ C.P = S.P - 10\% (C.P) \Rightarrow C.P = 660 - 60 $ (ten percent of the rupees)
Thus, we get $ C.P = 600 $ is the cost price, and this discount of the fan is twenty-five percent.
Hence by the M.P, we get $ M.P = \dfrac{{C.P \times 100}}{{100 - discount}} \Rightarrow \dfrac{{600 \times 100}}{{100 - 25}} $ (where the discount is twenty-five).
Further solving we get $ M.P = \dfrac{{600 \times 100}}{{100 - 25}} = \dfrac{{60000}}{{75}} =800 $ (by division operator)
Hence, we get the marked price of the fan is rupees $ 800 $.

Note: we can also solve this problem by using the formula $ x + 25\% \times x = 660 $ .
Where X is the marked price (unknown) and sells it for $ Rs.660 $ making and Jyoti buys that table fan at a $ 25\% $ discount. Hence if we find the value X it is also X is the rupees $ 800 $ as the same resultant.
Since if the question is about the loss; then we will apply the loss formula to get the answer.