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Exercise 5 - Example 		Home
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In a shop, the shopkeeper sells the items to us at a price, which is called SELLING PRICE.
The shopkeeper purchases these items at a price, which is called COST PRICE.

The shopkeeper may sell an item at a price (markup price) more than the cost price, then he gets a PROFIT.
Selling price - Cost Price = Profit

Sometimes the shopkeeper may sell an item at a price (discount) lower than the cost price, then he incur LOSS.
Cost price - Selling Price = Loss

Selling Price - Cost Price = Profit
Cost Price - Selling Price = Profit
 
Selling Price =
100 + gain%
x Cost Price  
 
100
   
 
Selling Price =
100 - loss%
x Cost Price  
 
100
   
 
Cost Price =
100
x Selling Price  
 
100 + gain%
   
 
Cost Price =
100
x Selling Price  
 
100 - loss%
   
 
Profit% =
Profit
x 100  
 
Cost Price
   
 
Loss% =
Loss
x 100  
 
Cost Price
   

1. In shop-A regular price of a candy is 80 cents, it has 25% off of its regular price. Find the price of the candy after discount?

Discount = regular price x rate of discount

        = 80 x 25/100 = 20 cents

Sale price = regular price - discount

Sale price of a candy: 80 - 20 = 60 cents

2. A shop paid 80 cents for a candy, but they sold it for a markup of 5%. Find the selling price of the candy in the shop?

Markup price = cost price x markup

        = 80 x 5/100 = 4 cents

Selling price = cost price + markup price

        = 80 + 4 = 84 cents

3. Cost price of a candy for the shop is 80 cents and they sold it for 85 cents. Find the profit percent for the shop?

Profit = 85 - 80 = 5 cents

        = 5/80 x 100

   Profit = 6.25%



4. Cost price of a candy for the shop is 90 cents and they sold it for 85 cents. Find the loss percentage for the shop?

Loss = 90 - 85 = 5 cents

        = 5/90 x 100

   Loss = 5.56%



5. Ron bought 50 bags of sugar for $125. He sold them at a gain of 75 cents per bag. What is the selling price of each bag?

Cost price of one bag = 125/50 = $2.50

Selling price = Cost price + Gain = 2.50 + 0.75 = $3.25 per bag



6. Shelby lost $350.00 by selling a car. She bought the car for $6750.00. Find the selling price of the car.

Selling price = cost price - loss = 6750 - 350 = $6400.00



7. Ron bought 50 bags of rice. He sold them at a loss of 75 cents per bag and got $112.50, Find the cost price of each bag?

Selling price of one bag = 112.50/50 = $2.25

Cost price = Selling price + loss = 2.25 + 0.75 = $3.00 per bag



8. Ron bought 50 bags of flour. He sold them at a gain of 75 cents per bag and got $112.50, Find the cost price of each bag?

Selling price of one bag = 112.50/50 = $2.25

Cost price = Selling price - gain = 2.25 - 0.75 = $1.50 per bag



9. Kate bought a bike for $125.00 and sold it at a gain of 20%. Find the selling price of the bike.

Gain amount is 20% of $125.00 = (20/100) x 125 = $25.

Selling price = Cost price + gain = 125 + 25 = $150.00



10. Matt bought 5 cans of paint for $75. He sold them at a loss of 4% per can. What is the selling price of each can?

Cost price of 1 can = 75/5 = $15.00

Loss amount = 4% of $15.00 = (4/100) x 15 = $0.60

Selling price = Cost price - loss = 15 - 0.60 = $14.40 per can



11. Kyle bought a music system and sold it for $300 at a loss of 5%. Find the cost price of the system.

cost price - loss amount = selling price
loss amount = loss% x cost price
cost price - (loss% x cost price) = selling price
cost price(1 - loss%) = selling price
cost price = [1/(1 - loss%)] * selling price

Selling price = $300.00

loss = 5%

cost price = [1/(1 - loss%)] * selling price

cost price = [1/(1 - 5/100)] * 300

cost price = [1/0.95] * 300 = $316.00



11. Sid bought 2 items for 600 dollars each. He sold 1 item at 10% profit and another one at a loss of 12%. Find the total cost price of 2 items.

cost price = [1/(1 - loss%)] * selling price = [1/(1 - 0.12)] x 600

cost price = [1/(1 + gain%)] * selling price = [1/(1 + 0.10)] x 600

Total cost price of 2 items = {[1/(1 - 0.12)] + [1/(1 + 0.10)]}* 600 = $1227.27




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