Volume Discount Pricing Calculation
This problem involves calculating the total cost of purchasing 120 units of an item, considering a tiered wholesale pricing structure based on the quantity purchased.
Understanding the Price Tiers
- For quantities 0 to 19 units, the price is $C_0$ per unit.
- For quantities 20 to 29 units, the unit price decreases by 10%, becoming $C_0 \times (1 - 0.10) = 0.9 C_0$.
- For quantities 30 or more units, the unit price decreases by an additional 10% (relative to the previous tier's price), becoming $0.9 C_0 \times (1 - 0.10) = 0.81 C_0$.
Determining the Applicable Unit Price
A total of 120 units are purchased. This quantity falls into the highest discount tier ("30 or more units"). Therefore, the **volume discount** applies to the entire purchase, and the price per unit is $0.81 C_0$.
Calculating the Total Wholesale Price
The total price is calculated by multiplying the total number of units by the applicable unit price:
Total Price = (Number of Units) $\times$ (Unit Price)
Total Price = $120 \times (0.81 C_0)$
Total Price = $97.2 C_0$
Conclusion
The calculated total price is approximately $97.2 C_0$. Comparing this to the given options, the closest value is $97 C_0$.
Important Questions from Profit & Loss (Notes)
- A person incurs a loss of 10% by selling a watch for Rs. 450. At what price should the watch be sold to earn 10% profit?
Two bikes were sold for a total of ₹ $1,50,000$. One bike was sold at $33\frac{1}{3}\%$ loss and the other at $20\%$ profit. The cost price of the first bike is equal to the selling price of the other bike. Find the over all loss.
What will be the profit percentage on selling an article at a certain price if there is $30\%$ loss on selling the article at $\frac{3}{5}$ of the selling price?
- A shopkeeper bought an item for ₹7825 and marked it at 30% higher than the cost price. If he sells the item by allowing 20% discount, then his profit percentage will be :
- A bought an article at a certain price and sold it at 10% profit. B bought the same article at a price 10% lesser than A and sold it at ₹18 lesser than A. B's gain percentage in this deal is 20%. At what price B bought the article?
