After offering discount of $10$ % on marked price, a customer gets total discount of $17$ rupees. What is the difference between the marked price and the cost price of the item, if the seller still earns a profit of $53 %$ ?

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Solution

Given discount is $10 %$
marked price will be $17 \times \frac{100}{10} = 170$
selling price will be $170 - 17 = 153$
cost price $= 153 - 153 \times \frac{53}{100} = 81.09$
difference between the marked price and cost price is $170 - 81.09 = 88.91$

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Similar questions

Q. 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.

∴ \frac{x}{0} = \frac{0}{0} ∴ x = \frac{0 \times 0}{0} = 0

∴ the customer will get the item for 153 rupees.

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After offering discount of 10% on marked price, a customer gets total discount of 17 rupees. What is the difference between the marked price and the cost price of the item, if the seller still earns a profit of 53%?

Given discount is 10% marked price will be 17×10010=170selling price will be 170−17=153cost price =153−153×53100=81.09difference between the marked price and cost price is 170−81.09=88.91

After offering discount of $10$ % on marked price, a customer gets total discount of $17$ rupees. What is the difference between the marked price and the cost price of the item, if the seller still earns a profit of $53 %$ ?

Given discount is $10 %$
marked price will be $17 \times \frac{100}{10} = 170$
selling price will be $170 - 17 = 153$
cost price $= 153 - 153 \times \frac{53}{100} = 81.09$
difference between the marked price and cost price is $170 - 81.09 = 88.91$