Question

On a certain item a shopkeeper gives 8 %discount to the customer and still gets 15 %profit. If the marked price of the item is ₹1750, then what is the cost price of the item for the shopkeeper?

Answer 1

MP = 1750

SP = 1750  x 92/100 = 1610

CP = a

1610/a  x 100 = 115

a 161000/115= 1400

Cost Price of the item for the shopkeeper = Rs. 1400

Answer 2

Question:

On a certain item a shopkeeper gives 8 %discount to the customer and still gets 15 %profit. If the marked price of the item is ₹1750, then what is the cost price of the item for the shopkeeper?

Solution :

Marked price of the item = ₹1750 , discount is 8%.

Therefore, total discount

$= 1750 \times \frac{8}{100} = rs140$

Therefore, selling price of the item = 1750 - 140 = Rs. 1610.

Profit is 15%.

Hence, if the cost price is Rs.100 then selling price is Rs.115 .

That is , when selling price is Rs. 115, cost price is Rs. 115, cost price Rs.100.

So, when the selling price is Rs. 1610.

Let the cost price be x

Therefore,

$\frac{x}{100} = \frac{1610}{115}$

Therefore,

$x = \frac{1610 \times 100}{115} = 1400$

Hence, the cost price of the item = ₹1400.

Extra Information:

Important Formulae:

1) Selling price = Marked price - Discount.

2) Percentage of discount

$= \frac{x}{100} = \frac{discount \: given}{marked \: price}$