shopkeeper offers 15% discount on all plastic toys. He offers a further discount of 4%on the reduced price to those customers who pay cash. What does a customer have to pay (in Rs) in case of Rs 200 ?

Options

A. 133.7
B. 129.8
C. 163.2
D. 153.3

Answer

To solve the problem step by step, we will calculate the total amount a customer has to pay after applying the discounts.

### Step 1: Calculate the initial discount of 15% on Rs 200.
- The discount amount can be calculated as follows:
\[ \text{Discount} = \text{Original Price} \times \frac{\text{Discount Percentage}}{100} \]
\[ \text{Discount} = 200 \times \frac{15}{100} = 200 \times 0.15 = 30 \]

### Step 2: Subtract the discount from the original price to find the reduced price.
- The reduced price after the first discount is:
\[ \text{Reduced Price} = \text{Original Price} - \text{Discount} \]
\[ \text{Reduced Price} = 200 - 30 = 170 \]

### Step 3: Calculate the further discount of 4% on the reduced price of Rs 170.
- The further discount amount can be calculated as follows:
\[ \text{Further Discount} = \text{Reduced Price} \times \frac{\text{Further Discount Percentage}}{100} \]
\[ \text{Further Discount} = 170 \times \frac{4}{100} = 170 \times 0.04 = 6.8 \]

### Step 4: Subtract the further discount from the reduced price to find the final price.
- The final price after the further discount is:
\[ \text{Final Price} = \text{Reduced Price} - \text{Further Discount} \]
\[ \text{Final Price} = 170 - 6.8 = 163.2 \]

### Conclusion:
The customer has to pay Rs 163.2.

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