In the previous topic of this chapter we have discussed about cost price, selling price, profit, loss, profit percent and loss percent. Let us revise them once in short.
Cost price: cost price is the price at which a commodity is purchased by a shopkeeper from dealer or merchant.
Selling price: selling price is the price at which a commodity is sold by shopkeeper to the customers.
Profit: when a shopkeeper sells a commodity to a customer at a price more than the cost price, then he gets a profit.
Profit = selling price – cost price
= S.P. – C.P.
Profit percent = \(\frac{S.P.  C.P.}{C.P.}\) x 100 %
Loss: When a shopkeeper sells a commodity to a customer at a price lower than the cost price, then he suffers a loss.
Loss = Cost Price – Selling Price
= C.P. – S.P.
Loss percent = \(\frac{C.P.  S.P.}{C.P.}\) x 100 %
Now let us solve some problems based upon these concepts.
1. A shopkeeper buys tshirts from a dealer at rate of Rs 700 per tshirt. He sells them at a rate of Rs 850 per tshirt. He buys 10 tshirts of same type and at same rate. Find the overall profit/loss. Also profit percent/ loss percent.
Solution:
cost price rate = Rs 700per tshirt
Total cost price = Rs 700 x 10
= Rs 7000
Selling price rate = Rs 850 per tshirt
Total selling price = Rs 8500
Since, total cost price is less than total selling price. So, the shopkeeper will have profit.
Profit = total selling price  total cost price
= Rs 8500  Rs 7000
= Rs 1500
Profit percent = \(\frac{1500}{7000}\) x 100 %
= 21.42%
2. A shopkeeper sells a refrigerator for Rs12,500 with a loss of Rs1500. Find the price at which he had bought it from dealer. Also calculate the loss percent.
Solution:
Selling price of the refrigerator = Rs 12,500
Loss suffered by the shopkeeper = Rs 1,500
Cost price = ?
We know that, Selling price = Cost Price – Loss
So, Cost Price = Selling Price + Loss
Cost Price = Rs 12,500 + Rs1,500
= Rs 14,000
Loss percent = \(\frac{Loss}{C.P.}\) x 100 %
= \(\frac{1500}{14000}\) x 100%
= 10.715
3. A shopkeeper sells a refrigerator at cost price of Rs 15000 with a profit of 20%. Find the price at which customer has purchased it. Also find profit gained by the shopkeeper.
Solution:
Cost price = Rs 15000
Profit percent = 20%
Profit = cost price x profit percent
Profit = \(\frac{15000}{20} \times \frac{1}{100}\)
Profit = Rs 3,000
Selling price = cost price + profit
= Rs 15000 + Rs 3,000
= Rs 18,000
So, the amount payed by customer to the shopkeeper = Rs 18,000.
4. A shopkeeper sells a television set at Rs 25,000 to a customer making a profit of Rs 2,000 at the set. Find the price at which he must have bought it from the dealer. Also find the profit percent.
Solution:
Selling price of television set = Rs 25,000
Profit = Rs 2,000
We know that S.P. = C.P. + Profit
So, C.P. = S.P. – Profit
C.P. = Rs 25,000 – Rs 2,000
C.P. = Rs 23,000
Profit percent = \(\frac{S.P.  C.P.}{C.P.}\) x 100 %
= \(\frac{Profit}{C.P.}\) x 100 %
= \(\frac{2000}{23000}\) x 100 %
= 8.69%
Profit and Loss
Cost Price, Selling Price and Rates of Profit and Loss
Problems on Cost Price, Selling Price and Rates of Profit and Loss
Understanding Overheads Expenses
Worksheet on Cost Price, Selling Price and Rates of Profit and Loss
Understanding Discount and Mark Up
Worksheet on Discount and Markup
Worksheet on the application of overhead Expenses
Worksheet on Successive Discounts
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