Question

A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ?
A) Rs.37,500
B) Rs.36,400
C) Rs.37,415
D) Rs.36,500

Answer 1

Assume A be the cost price.

 

Therefore,
(35×A×10100) − (25×A×5100) = 150035×A×10100 - 25×A×5100 = 1500

 

=>  A = Rs 37,500.

Answer 2

The correct option is (A) Rs.37,500.

Let x be the cost price of sweets .

then sale price of 3/5th part = 3/5 x * 110/100

=3.30/5 x

Sale price of the rest = 2/5 x * 95/100

=1.90x / 5

Hence ,

Total Sale Price = (3.3x + 1.90x) / 5

=5.2x/ 5

=1.04x

Profit Gained = 1.04x - x = 0.04x = 1500

Hence , x = 1500/ 0.04

= Rs.37,500

Profit and Loss Basic Concepts

• Let us learn profit and loss concepts in math's. It is well explained in terms of cost price and selling price.

Profit(P)

• The amount gained by selling a product with more than its cost price.

Loss(L)

• The amount the seller incurs after selling the product less than its cost price is mentioned as a loss.

Cost Price (CP)

• The amount paid for a product or commodity to purchase is called a cost price. Also, denoted as CP. This cost price is further classified into two different categories:

• Fixed Cost: The fixed cost is constant, it doesn’t vary under any circumstances

• Variable Cost: It could vary depending as per the number of units and other factors

Selling Price (SP)

• The amount for which the product is sold is called the Selling Price. It is usually denoted as SP. Also, sometimes called a sale price.

Marked Price Formula (MP)

• This is basically labelled by shopkeepers to offer a discount to the customers in such a way that,

       Profit or Gain = Selling price – Cost Price

       Loss = Cost Price – Selling Price

       Profit and Loss Formulas

Now let us find the profit formula and loss formula.

• The profit or gain is equal to the selling price minus the cost price.
• Loss is equal to cost price minus selling price.

          Profit or Gain = Selling price – Cost Price

          Loss = Cost Price – Selling Price

The formula for the profit and loss percentage is:

  Profit percentage (P%) = (Profit /Cost Price) x 100

  Loss percentage (L%) = (Loss / Cost price) x 100

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