Math, asked by bhawnakhanna1b, 1 year ago

Priti allows 8% discount on the marked price of the suits​ and still makes a profit of 15%.If her gain over the sale of the suit is ₹156, find the marked price of the suit.

Answers

Answered by VineetaGara
17

Given,

Priti allows an 8% discount on the marked price of the suits and still makes a profit of 15%.

Her gain over the sale of the suit = ₹ 156

To find,

The marked price of the suit.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the cost price and marked price of the suit for Priti are Rs. x and Rs. y, respectively.

Mathematically,

p% of a value A is calculated as follows:(p/100)×A

{Statement-1}

Now, according to the question;

Profit percentage of Priti = 15%

=> total profit made by Priti by selling the suit by allowing an 8% discount on the marked price= Rs. 156

=> 15% of the cost price of the suit = ₹ 156

=> 15/100 × x = 156

{according to statement-1}

=> x = 15600/15 = 1040

=> the cost price of the suit = ₹ 1040

Now, selling price of the suit after allowing an 8% discount on the marked price

= cost price + profit

= ₹ 1040 + ₹ 156

= ₹ 1196

Now, according to the question;

Priti sells the suit at ₹ 1196 after allowing an 8% discount on the marked price

=> (marked price) - (8% of the marked price) = (the selling price of the suit)

=> ₹ y - (8% of ₹ y) = ₹ 1196

=> y - (8/100)×y = 1196

=> (100y - 8y)/100 = 1196

=> 92y = 119600

=> y = (119600/92) = 1300

=> the marked price of the suit = ₹ 1300

Hence, the marked price of the suit is equal to ₹ 1300.

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