what is the cost price of a shirt if the selling price is rs 800 and the loss is 20 %
Answers
Answer:
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 = 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 = C.P.−S.P.C.P. x 100 %
Now let us solve some problems based upon these concepts.
1. A shopkeeper buys t-shirts from a dealer at rate of Rs 700 per t-shirt. He sells them at a rate of Rs 850 per t-shirt. He buys 10 t-shirts of same type and at same rate. Find the overall profit/loss. Also profit percent/ loss percent.
Solution:
cost price rate = Rs 700per t-shirt
Total cost price = Rs 700 x 10
= Rs 7000
Selling price rate = Rs 850 per t-shirt
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 = 15007000 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 = LossC.P. x 100 %
= 150014000 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 = 1500020×1100
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 = S.P.−C.P.C.P. x 100 %
= ProfitC.P. x 100 %
= 200023000 x 100 %
= 8.69%
Step-by-step explanation:
Answer:
sp=rs 800
loss = 20%
let cp be rs100
sp=100-20=rs 80
if sp=rs 80 then cp =rs 100
if sp=1 then cp=100/80
if sp=800 then cp=100/80*800
cp = 100*10= rs 1000
so the cp of the shirt is rs 1000