A Rs 750 tin of cheese is offered at 8% discount and a Rs 1,250 tin of butter at 20% discoumt. If we buy 5 tins of cheese and 3 tins of butter, what is the eftective discount we get (in %)?

Options

A. 0.12
B. 15
C. 0.14
D. 0.16

Answer

To solve the problem step by step, we will calculate the total cost price (CP), the total selling price (SP) after discounts, and then determine the effective discount percentage.

### Step 1: Calculate the total cost price (CP)
- Cost price of 1 tin of cheese = Rs 750
- Cost price of 1 tin of butter = Rs 1,250
- Number of tins of cheese bought = 5
- Number of tins of butter bought = 3

**Total CP = (Cost price of cheese * Number of tins of cheese) + (Cost price of butter * Number of tins of butter)**

Total CP = (750 * 5) + (1250 * 3)
Total CP = 3750 + 3750
Total CP = Rs 7500

### Step 2: Calculate the total selling price (SP) after discounts
- Discount on cheese = 8%
- Discount on butter = 20%

**Selling price of cheese after discount = Cost price of cheese * (1 - Discount%)**
Selling price of 1 tin of cheese = 750 * (1 - 0.08)
Selling price of 1 tin of cheese = 750 * 0.92
Selling price of 1 tin of cheese = Rs 690

**Selling price of butter after discount = Cost price of butter * (1 - Discount%)**
Selling price of 1 tin of butter = 1250 * (1 - 0.20)
Selling price of 1 tin of butter = 1250 * 0.80
Selling price of 1 tin of butter = Rs 1000

**Total SP = (Selling price of cheese * Number of tins of cheese) + (Selling price of butter * Number of tins of butter)**

Total SP = (690 * 5) + (1000 * 3)
Total SP = 3450 + 3000
Total SP = Rs 6450

### Step 3: Calculate the total discount received
**Total discount = Total CP - Total SP**
Total discount = 7500 - 6450
Total discount = Rs 1050

### Step 4: Calculate the effective discount percentage
**Effective discount percentage = (Total discount / Total CP) * 100**
Effective discount percentage = (1050 / 7500) * 100
Effective discount percentage = 14%

### Final Answer
The effective discount we get is **14%**.

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