#### Question

After offering discount of 10% on marked price, a customer gets total discount of 17 rupees. To find the cost price for the customer, fill in the following boxes with appropriate numbers and complete the activity.

Suppose, marked price of the item = 100 rupees

Therefore, for customer that item costs \[0 - 0\] = = 90 rupees

Hence, when the discount is \[0\] then the selling price is \[0\] rupees.

Suppose when the discount is \[0\] rupees, the selling price is *x* rupees.

\[\therefore \frac{x}{0} = \frac{0}{0} \therefore x = \frac{0 \times 0}{0} = 0\]

∴ the customer will get the item for 153 rupees.

#### Solution

Suppose, marked price of the item = 100 rupees

Therefore, for customer that item costs \[100 - 10\] = = 90 rupees

Hence, when the discount is \[10\] then the selling price is \[90\] rupees.

Suppose when the discount is \[17\] rupees, the selling price is x rupees.

\[\therefore \frac{x}{17} = \frac{90}{10} \therefore x = \frac{90 \times 17}{10} = 153\]

∴ the customer will get the item for 153 rupees.