Question

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.

Answer 1

Hi ,

Let the cost price of the suit = Rs x

gain ( g ) = 15% ,

gain = Rs 156

15% of x = 156

( 15/100 ) × x = 156

x = ( 156 × 100 )/15

x = Rs 1040

Selling price of the suit = x + gain

s.p = Rs 1040 + Rs 156

s.p = 1196

Now ,

Let the marked price = Rs y

Discount ( d ) = 8%

y × ( 100 - d )/100 = s.p

y × ( 100 - 8 )/100 = 1196

y × 92/100 = 1196

y = ( 1196 × 100 )/92

y = Rs 1300

Therefore ,

Required marked price of the

suit = y = Rs 1300

I hope this helps you.

: )

Answer 2

Answer:

Marked Price of a suit = Rs. 1300

Step-by-step explanation:

Discount on the marked price = 8%

Profit earned by Preeti = 15%

Gain over the sale of a suit = Rs. 156

We know that,

Profit% = Gain/C.P. × 100

⇒ 15 = 156/C.P. × 100

⇒ Cost Price = Rs. 1040

Now, S.P. = C.P. × (100 + Profit)/100

⇒ S.P. = 1040 × (115)/100

⇒ Selling Price = Rs. 1196

Now, Selling Price = Marked Price(1 - Discount%)

⇒ 1196 = x · (1 - 8%)

⇒ x = 1300

Therefore, Marked Price of a suit = Rs. 1300