Percentages Question 2 - CAT 2025
Question 1
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 discount was given in April.
If the total profit from January to April was Rs. 138825, then the marked price per unit, in rupees, was:
Step-by-Step Explanation
Question 1 — Answer: B (Rs. 525)
The total number of units sold is 570, so the total cost price is 570 × 240 = Rs. 136800.
Let the marked price be x. After applying the monthly discounts, the total revenue becomes 525x.
Since, Profit = Revenue − Cost Price Therefore, the marked price = Rs. 525.
💡 FundaMakers Tip: Instead of calculating month-wise profits, first calculate the total effective revenue coefficient and then apply the profit formula.