Question

By selling 88 articles, a retailer gains cost of 11 articles. What is his earning percentage?

Answer 1

Cost price (C.P.): This is the price at which an article is purchased.

Selling price (S.P.): This is the price at which an article is sold.

Profit or Gain: If the selling price is more than the cost price, the difference between them is the profit incurred.

Formula: Profit or Gain = S.P. – C.P.

Loss: If the selling price is less than the cost price, the difference between them is the loss incurred.

Formula: Loss = Cost price (C.P.) – Selling Price (S.P.)

Profit or Loss is always calculated on the cost price.

Marked price: This is the price marked as the selling price on an article, also known as the listed price.

Discount or Rebate: This is the reduction in price offered on the marked or listed price.

Below is the list of some basic formulas used in solving questions on profit and loss:

Gain % = (Gain / CP) * 100

Loss % = (Loss / CP) * 100

SP = [(100 + Gain%) / 100] * CP

SP = [(100 – Loss %) / 100]*CP

The above two formulas can be stated as,

If an article is sold at a gain of 10%, then SP = 110% of CP.

If an article is sold at a loss of 10%, then SP = 90% of CP.

CP = [100 / (100 + Gain%)] * SP

CP = [100 / (100 –

Answer 2

The gain% is 12.5%

Step-by-step explanation:

Let the cost of 1 article be Re.1

Cost of 11 articles = Rs.11

Cost of 88 articles = Rs.88

Gain  =  a retailer gains cost of 11 articles = Rs.11

Selling price = CP +Gain = Rs.88+ Rs.11 = Rs. 99

$Gain\% = \frac{Gain}{CP} \times 100$

$Gain \% = \frac{11}{88} \times 100$

$Gain\% = 12.5\%$

Hence The gain% is 12.5%

#Learn more:

A manufacturer sells an article to a wholesaler at a profit of 18%, the wholesaler sells it to a retailer at a profit of 20% .the retailer sell it to a customer at a profit of 25% . if the customer pay 30.09 for it .find the cost of the manufacturer

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