A trader fixed the price of an article in such a way that by giving a rebate of 10% on the price fixed he made a profit of 15%. If the cost of the article is Rs 72, the price fixed on it is

examrobotsa's picture
Q: 10 (IAS/2002)
A trader fixed the price of an article in such a way that by giving a rebate of 10% on the price fixed he made a profit of 15%. If the cost of the article is Rs 72, the price fixed on it is

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,3,3,2,1,3,0

keywords: 

{'rebate': [0, 0, 1, 0], 'profit': [0, 0, 0, 1], 'price': [0, 3, 1, 12], 'trader': [0, 0, 1, 1], 'rs': [0, 0, 9, 3], 'cost': [2, 1, 2, 10], 'article': [54, 1, 15, 30]}

Let`s assume the price fixed on the article is Rs X.

Given that the cost of the article is Rs 72 and a profit of 15% is made after giving a 10% rebate on the price.

The selling price after a 10% rebate is given is (100% - 10%) = 90% of the price fixed, which is 0.9X.

The profit made is 15% of the cost, which is 0.15 * 72 = Rs 10.80.

We can set up the equation:

Selling price - Cost price = Profit

0.9X - 72 = 10.80

Solving this equation, we find:

0.9X = 10.80 + 72

0.9X = 82.80

X = 82.80 / 0.9

X ? Rs 92.00

Therefore, the price fixed on the article is approximately Rs 92.00.