Question

an item marked at rs 550 is offered in a sale at a discount of 20% if the rate of sale tax is 7%find the amount a customer has to pay to purchase it

Answer 1

Answer:

Marked Price = ₹550

Discount = 10%

Discount = 10% of Marked Price

= 10% of 550

= 550 × 10/100

= 55

Selling Price = Marked Price-Discount

= ₹ 550 - ₹ 50

Hence, the selling price is ₹495.

Answer 2

The amount the customer has to pay Rs. 470.80 to purchase it.

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Let's understand a few concepts:

To calculate the selling price of an item when a discount is offered, we will use the following formula:

$\boxed{\bold{S.P. = M.P. - \frac{Discount\%}{100}\times M.P. }}$

To calculate the final selling price of an item when the sales tax is added, we will use the following formula:

$\boxed{\bold{Final\:S.P. = S.P. + \frac{Sale\:tax\%}{100}\times S.P. }}$

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Let's solve the given problem:

The marked price of the item = Rs. 550

The rate of discount = 20%

∴ After the discount, the S.P of the item will be,

= $550 - \frac{20}{100} \times 550$

= $550 - 110$

= $440$

The rate of sales tax = 7%

∴ The final S.P. of the item that the customer has to pay,

= $440 + \frac{7}{100} \times 440$

= $440 + 30.8$

= $\bold{Rs\:470.80}$

Thus, the amount a customer has to pay to purchase it is Rs. 470.80.

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