Question

An Article is marked 200/3 above the cost price and loss incurred on selling that article is 25% of the discount given on it. Then, find the discount % given?

Answer 1

Step-by-step explanation:

According to given problem,

(i) An article is marked 66 2/3% above the cost price and loss incurred on selling that article is 25% of the discount given on it.

(ii) Let DP denotes the discount percent given.

(iii) Let C, M & S denote respectively the cost-price, marked-price & the sell-price of the article.

From (i) & (iii) we get following relations,

M = (1 + 200/3/100)*C = (5/3)*C …… (1a)

S = (1 - 25/100)*C = (3/4)*C …… (1b)

From (ii) & (iii) we get following relation,

DP = [(M - S)/M]*100

or DP = 100*[(5/3)*C - (3/4)*C]/ [(5/3)*C] [from (1a) & (1b)]

or DP = 100*(11/12)/(5/3) = 55% [Ans]

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