Question

an article was marked its price 25%above the cost priceif it was sold allowing 10%discount find the profit or loss percentage​

Answer 1

Step-by-step explanation:

According to given problem,

(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]

Answer 2

• Answer:
• Let ’n’ be the cost price. Then the marked price is 1.25n. However the marked price is discounted 15%. Therefore the discounted price is 0.85 x 1.25n = 1.0625n. Thus 0.0625n =125. And n=Rs 2000. The marked (selling) price is 1.25n = 1.25 x Rs 2000 = Rs 2,100.
• Let ’n’ be the cost price. Then the marked price is 1.25n. However the marked price is discounted 15%. Therefore the discounted price is 0.85 x 1.25n = 1.0625n. Thus 0.0625n =125. And n=Rs 2000. The marked (selling) price is 1.25n = 1.25 x Rs 2000 = Rs 2,100.The selling price is Rs2100