the marked price of an article is 25% above its selling price and the cost price is 35% than its marked price. find the discount and gain percent
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The MP of a radio is 25 % above the selling price and the cost price is 30% less than its MP. What is the discount percent and gain percent?
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4 Answers

Syamal Dey, Ph.D., Former Sr. Scientist, University of Maryland, USA
Answered July 3, 2020
According to given problem,
(i) The MP of a radio is 25 % above the selling price and the cost price is 30% less than its MP.
(ii) Let C, M & S denote respectively the cost-price, the marked-price & the sell-price of the given radio.
(iii) Let DP & GP denote the discount percent & the gain percent respectively.
From the above mentioned data we get following relations,
M = (1 + 25/100)*S = 1.25*S …. (1a)
C = (1 - 30/100)*M = 0.70*M …. (1b)
DP = [(M - S)/M]*100 …. (2a)
GP = [(S - C)/C]*100 …. (2b)
From (1b) & (1a) we get,
C = 0.70*1.25*S = 0.875*S …. (1c)
From (2a) & (1a) we get,
DP = [(M - S)/M]*100 = [(1.25*S - S)/1.25*S]*100
or DP = (25/125)*100 = 20% [Ans]
From (2b) & (1c) we get,
GP = [(S - C)/C]*100 = [(S - 0.875*S)/0.875*S]*100
or GP = (125/875)*100 = 14.29% [Ans]