Multiple choice

A shopkeeper bought an article for Rs. x. He spent Rs. 650 on its repair. He marked the article 60% above the total price of the article for the shopkeeper and then sold the article offering two consecutive discounts of 10% and 25%. If he made a profit of Rs.248 then find the value of x.

  1. 2000

  2. 2450

  3. 2370

  4. 2200

  5. 2780
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost price be x. Total cost is x + 650. Marked price is 1.6(x + 650). Selling price after discounts of 10% and 25% is 1.6(x + 650) * 0.9 * 0.75 = 1.08(x + 650). Profit is 1.08(x + 650) - (x + 650) = 0.08(x + 650) = 248. Solving for x gives x + 650 = 3100, so x = 2450.

AI explanation

The total cost price for the shopkeeper is x plus 650, and marking it 60% above this total makes the marked price 1.6 times (x plus 650). After applying successive discounts of 10% and 25%, the selling price becomes 1.6 times (x plus 650) times 0.90 times 0.75, which simplifies to 1.08 times (x plus 650). Setting this equal to the total cost plus the 248 profit gives 1.08 times (x plus 650) equals x plus 650 plus 248. Solving the equation 0.08 times (x plus 650) equals 248 gives x plus 650 equals 3100, which means x is 2450.

Keep practicing — related questions