Sunanda is making a profit of 25% on his selling price, what is her actual profit percentage

CP : SP = 3 : 4 Profit% = (1*100)/3 = 33.33%

Solved by : Md. Helal Uddin

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Profit Loss and Discount 

1. Cost Price (CP) -

The money paid by the shopkeeper to the manufacturer or money paid by the customer to the shopkeeper is called the cost price (CP) of the goods.

CP=100100+Grain percent×SP, CP=100100-Loss percent×SP

2. Selling Price (SP) -

The price at which the shopkeeper sells the goods is called the selling price (SP).

SP=100+Grain percent100×CP, CP=100-Loss percent100×CP

3. Profit or Gain - Whenever, a person sells an article at price greater than the cost price, he is said to have made a profit or gain.

Profit or Gain =SP–CPSP>CP

Profit percent=ProfitCost Price×100%=PCP×100%

4. Loss -

If the selling price of an article is less than its cost price, then the shopkeeper suffers a loss.

Loss =CP–SPCP>SP

Loss percent=LossCost Price×100%=LCP×100%

5. Marked Price (MP) -
Basically, to avoid the loss due to bargaining by the customer and get the profit over the cost price trader increase the cost price by a certain value, this increase in value over cost price is known as mark-up and the increased price (i.e., CP+ Mark-up) is called the marked price or printed price or list price of the goods.
Marked Price =CP+mark-up
Marked Price =CP+ (Percent mark-up of CP)
Generally, goods are sold at marked price, if there is no further discount, then in this case selling price equals to marked price.

6. Discount - Discount means concession. It is an offer made by the seller to the buyer for reduction in price to be paid. Basically, it is calculated on the basis of marked price.

Selling price C Marked price (MP) – Discount


Since, marked price =CP+ percent mark-up on CP Remember Mark-up is calculated on the basis of CP, while discount is calculated on the basis of MP.
In general, CP<SP<MP at profit
CP=SP<MP at no profit.

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