If a shopkeeper gives two successive discounts of 20% and 15% on a book whose marked price is Rs. 850, then what is the selling price of the book?

Options

A. Rs. 758
B. Rs. 587
C. Rs. 785
D. Rs. 578

Answer

To solve the problem of finding the selling price of a book after two successive discounts, we can follow these steps:

### Step 1: Calculate the first discount
The marked price (MP) of the book is Rs. 850. The first discount is 20%.

First, we calculate the amount of the first discount:
\[ \text{First Discount} = \text{MP} \times \frac{20}{100} = 850 \times 0.20 = 170 \]

### Step 2: Calculate the price after the first discount
Now, we subtract the first discount from the marked price to find the price after the first discount:
\[ \text{Price after first discount} = \text{MP} - \text{First Discount} = 850 - 170 = 680 \]

### Step 3: Calculate the second discount
The second discount is 15%. Now, we apply this discount to the new price (Rs. 680).

Calculate the amount of the second discount:
\[ \text{Second Discount} = \text{Price after first discount} \times \frac{15}{100} = 680 \times 0.15 = 102 \]

### Step 4: Calculate the selling price after the second discount
Finally, we subtract the second discount from the price after the first discount to find the selling price:
\[ \text{Selling Price} = \text{Price after first discount} - \text{Second Discount} = 680 - 102 = 578 \]

### Conclusion
The selling price of the book after applying both discounts is Rs. 578.

---