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. 138825, then the marked price per unit, in rupees, was
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. 138825, then the marked price per unit, in rupees, was
Solution
We're told:
Monthly sales (in units): Jan , Feb , Mar , Apr
Cost price per unit
Discounts on marked price: Jan , Feb , Mar , Apr
Total profit from Jan to Apr
We need to find the fixed Marked Price (MP) per unit.
Total units sold
Total Cost
When a discount is given on the marked price, the selling price per unit becomes . So the revenue from each month is:
Jan:
Feb:
Mar:
Apr:
Total Revenue
Using Profit Total Revenue Total Cost:
The marked price per unit is .