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Question
A firm dealing in computers, allows 5% discount on the marked price of each system. What price must be marked on a computer set which costs Rs. 20,000 to assemble, so as to make a profit of 25%?
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Solution
Let the marked price be Rs. x
C.P. of the computer set = Rs.20000
Profit%
= `"profit"/"C.P." xx 100`
⇒ 25 = `"profit"/(20000) xx 100`
⇒ profit = Rs.5000
So, S.P.
= C.P. + Profit
= Rs.20000 + Rs.5000
= Rs.25000
Given that a discount of 5% is given on the M.P.
So, S.P.
= Rs. x - 5% of the M.P.
⇒ Rs.25000 = `x - (5)/(100) xx x`
⇒ Rs.25000 = `(95x)/(100)`
⇒ x = Rs.26315.79 approx
Hence, the price that should be marked is approximately Rs.26315.79.
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