if an article is sold at 25% discount, the profit is 10%. if the discount is 10% only the profit is rs. 240. find the marked price of the article.

(i) If an article is sold at 25% discount and the profit percentage is 10%

(ii) If 10% discount is given, then the profit is 240.

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

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

S = (1 - 25/100)*M = 0.75*M …… (1a)

S = (1 + 10/100)*C = 1.10*C …… (1b)

From (1a) & (1b) we get,

1.10*C = 0.75*M

or C = (0.75/1.10)*M = (15/22)*M …… (1c)

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

S = (1 - 10/100)*M = 0.90*M …… (1d)

S = 240 + C …… (1e)

From (1d) & (1e) we get,

0.90*M = 240 + C = 240 + (15/22)*M [from (1c)]

or (9/10 - 15/22)*M = 240

or (3/2)*(3/5 - 5/11)*M = 240

or (8/55)*M = 160 or M = 20*55 = 1100 (Rs) [Ans]

Therefore Marked Price is 100 × 990/90=Rs.1100/--

the correct answer is 5

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