Multiple choice

The monthly sales of a product from January to April were 120, 135, 150 and 165 units, respectively. The cost price of the product was Rs. 240 per unit, and a fixed marked price was used for the product in all the four months. Discounts of 20%, 10% and 5% were given on the marked price per unit in January, February and March, respectively, while no discounts were given in April. If the total profit from January to April was Rs. 1,38,825, then the marked price per unit, in rupees, was

  1. 520

  2. 525

  3. 510

  4. 515
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let MP be the marked price. Total sales = 120+135+150+165 = 570 units. Profit = Total Revenue - Total Cost. Revenue = (120*0.8 + 135*0.9 + 150*0.95 + 165*1.0) * MP. Total Cost = 570 * 240 = 136800. Profit = 138825. Revenue = 275625. Solving for MP gives 525.

AI explanation

The cost price per unit is Rs. 240, and the total units sold over four months is 120 plus 135 plus 150 plus 165, equaling 570 units, making the total cost price Rs. 1,36,800. Adding the given profit of Rs. 1,38,825 to the total cost price gives total revenue of Rs. 2,75,625. The total revenue is formed by the sum of the units sold multiplied by their respective selling prices; substituting the marked price M gives the equation 96M plus 121.5M plus 142.5M plus 165M, which simplifies to 525M equals Rs. 2,75,625. Dividing the total revenue by 525 results in a marked price per unit of Rs. 525.

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