If the price of some commodity is reduced from `Rs. 16` to ` Rs. 12.25` then on purchasing four such commodities, how much percentage can one save ?

Options

A. `15`
B. `49`
C. `23 7/16`
D. `(4900)/64`

Answer

To find the percentage savings when the price of a commodity is reduced from Rs. 16 to Rs. 12.25, we can follow these steps:

### Step 1: Calculate the initial total cost for 4 commodities at the original price.
- The original price of one commodity = Rs. 16
- Therefore, the cost for 4 commodities = 4 × 16 = Rs. 64

### Step 2: Calculate the total cost for 4 commodities at the reduced price.
- The reduced price of one commodity = Rs. 12.25
- Therefore, the cost for 4 commodities = 4 × 12.25 = Rs. 49

### Step 3: Calculate the savings.
- Savings = Initial cost - Reduced cost
- Savings = Rs. 64 - Rs. 49 = Rs. 15

### Step 4: Calculate the percentage savings.
- Percentage savings = (Savings / Initial cost) × 100
- Percentage savings = (15 / 64) × 100

### Step 5: Simplify the calculation.
- Percentage savings = (15 × 100) / 64
- Percentage savings = 1500 / 64
- Percentage savings = 23.4375%

### Step 6: Round off the percentage savings.
- Percentage savings ≈ 23.44%

Thus, the percentage savings when purchasing 4 commodities after the price reduction is approximately **23.44%**.

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