Multiple choice

An article is sold at 25% profit such that the sum of thecost price and selling price of the article is Rs. 4050. Find theprofit percentage if the cost price and selling price each hadbeen Rs. 600 less.

  1. 36.5%

  2. 42.5%

  3. 32.5%

  4. 37.5%

  5. 40.5%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = x and SP = 1.25x. Given x + 1.25x = 4050, so 2.25x = 4050, x = 1800. CP = 1800, SP = 2250. New CP = 1200, New SP = 1650. Profit = 450. Profit % = (450/1200) * 100 = 37.5%.

AI explanation

Let the cost price be CP and the selling price be SP. The first condition gives CP plus SP equals 4050, and since the profit is 25 percent, SP equals 1.25 times CP. Solving these equations gives CP equal to 1800 rupees and SP equal to 2250 rupees. The new cost and selling prices are reduced by 600, becoming 1200 and 1650 respectively. Using the profit percentage formula, (1650 minus 1200) divided by 1200 times 100 yields a profit of 37.5 percent.

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