Ramitra purchased raw materials at a certain price for manufacturing a product. However, due to a shortage of workers, of the raw material could not be used and went to waste. of the cost of the used raw material was added as manufacturing cost. If Ramitra can sell her product to earn an overall profit of after allowing a discount of , then the marked price of the product was how many times the total cost of the raw material purchased?
- A
- B
- C
- D
Solution & Step-by-step Explanation
Let the total cost of the raw material purchased be .
1. Calculate the cost of raw material used:
* Raw material wasted = of
* Raw material used =
* Cost of used raw material =
2. Calculate the manufacturing cost:
* Manufacturing cost = of the cost of used raw material
*
3. Calculate the total Cost Price (CP) incurred:
*
*
4. **Calculate the required Selling Price (SP) for a overall profit:**
*
*
5. **Calculate the Marked Price (MP) given a discount:**
*
*
*
6. Find the ratio of MP to the total cost of raw material purchased:
*
Thus, the marked price was times the total cost of the raw material purchased.
1. Calculate the cost of raw material used:
* Raw material wasted = of
* Raw material used =
* Cost of used raw material =
2. Calculate the manufacturing cost:
* Manufacturing cost = of the cost of used raw material
*
3. Calculate the total Cost Price (CP) incurred:
*
*
4. **Calculate the required Selling Price (SP) for a overall profit:**
*
*
5. **Calculate the Marked Price (MP) given a discount:**
*
*
*
6. Find the ratio of MP to the total cost of raw material purchased:
*
Thus, the marked price was times the total cost of the raw material purchased.