The cost price of an article is Rs. 100. A discount series of 5%, 10% successively reduces the price of a article by

Options

A. Rs. 4.5
B. Rs. 14.5
C. Rs. 24.5
D. None of the above

Answer

To solve the problem step by step, we will calculate the successive discounts on the cost price of the article.

### Step 1: Identify the Cost Price
The cost price (CP) of the article is given as Rs. 100.

### Step 2: Calculate the First Discount
The first discount is 5%.
- To calculate the discount amount:
\[ \text{First Discount} = \frac{5}{100} \times 100 = Rs. 5 \]
- Now, subtract the discount from the cost price:
\[ \text{Price after First Discount} = 100 - 5 = Rs. 95 \]

### Step 3: Calculate the Second Discount
The second discount is 10% on the new price (Rs. 95).
- To calculate the discount amount:
\[ \text{Second Discount} = \frac{10}{100} \times 95 = Rs. 9.5 \]
- Now, subtract this discount from the price after the first discount:
\[ \text{Price after Second Discount} = 95 - 9.5 = Rs. 85.5 \]

### Step 4: Calculate the Total Reduction in Price
Now, we need to find out how much the price has decreased from the original cost price.
- The reduction in price is:
\[ \text{Reduction} = \text{Original Price} - \text{Final Price} = 100 - 85.5 = Rs. 14.5 \]

### Conclusion
The article's price has been reduced by Rs. 14.5.

### Final Answer
The total reduction in price is **Rs. 14.5**.

---