Two successive discounts of 5%, 10% are given for an article costing Rs. 850. Present cost of the article is (in Rs.) :

Options

A. 725
B. `726.75`
C. 700
D. 650

Answer

To find the present cost of an article after applying two successive discounts of 5% and 10% on an original price of Rs. 850, we can follow these steps:

### Step 1: Calculate the first discount
The first discount is 5% of Rs. 850.

\[ \text{First Discount} = \frac{5}{100} \times 850 = 42.5 \]

### Step 2: Calculate the price after the first discount
Subtract the first discount from the original price.

\[ \text{Price after first discount} = 850 - 42.5 = 807.5 \]

### Step 3: Calculate the second discount
The second discount is 10% of the new price (Rs. 807.5).

\[ \text{Second Discount} = \frac{10}{100} \times 807.5 = 80.75 \]

### Step 4: Calculate the final price after the second discount
Subtract the second discount from the price after the first discount.

\[ \text{Final Price} = 807.5 - 80.75 = 726.75 \]

### Conclusion
The present cost of the article after applying both discounts is Rs. 726.75.

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