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Question
A dealer marks his goods 45% above the cost price and then allows 20% discount on it. What is the cost price of an article on which he gains Rs.960?
Solution
Let the C.P. of the goods = Rs.100
∴ M.P.
= Rs.100 + 45% of Rs.100
= Rs.100 + Rs.45
= Rs.145
Discount
= 20% of Rs.145
= `(20)/(100) xx 145`
= Rs.29
∴ S.P.
= M.P. - Discount
= Rs. (145 - 29)
= Rs.116
Gain
= S.P. - C.P.
= Rs. (116 - 100)
= Rs.116
Gain
= S.P. - C.P.
= Rs.(116 - 100)
= Rs.16
When gain is Rs.16, C.P. = Rs.100
When gain is Rs.960, C.P.
= `(100 xx 960)/(16)`
= Rs.6000.
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