Question
The reduction in price from marked price to selling price
is 28% of the gap between the marked price and cost price. If the seller gains 18% profit and the marked price is Rs. 780, determine the cost price.Solution
ATQ,
Let the cost price be Rs. 100x
Selling price = 100x × 1.18 = Rs. 118x
ATQ,
(780 - 118x) = (780 - 100x) × 0.28
⇒ 780 - 118x = 218.4 - 28x
⇒ 780 - 218.4 = 118x - 28x
⇒ 561.6 = 90x
⇒ x = 6.24
Cost price = 100 × 6.24 = Rs. 624
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