After offering successive discounts of 15% and 12%, there was still a 10% profit on the sale of the item. What is the ratio of the marked price to the cost price of the item?

Correct option is B

Given:

Successive discounts: 15% and 12%

Final profit on cost price = 10%

Formula Used:

Net Discount = 1$$- [(1 - d_1)(1 - d_2)]$$​

Solution:
Assume MP = 100

​$$SP = \text{MP} \times (1 - 0.15) \times (1 - 0.12) = \text{MP} \times 0.85 \times 0.88$$​​

​$$SP = 100 \times 0.85 \times 0.88 = 74.8$$

$$SP = \text{CP} \times (1 + \frac{Profit\%}{100}) = \text{CP} \times 1.10$$​​

​$$CP = \frac{SP}{1.10} = \frac{74.8}{1.10} = 68$$​

Now find:

​$$\frac{\text{MP}}{\text{CP}} = \frac{100}{68} = \frac{25}{17}$$​