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Profit And Loss

Aptitude ➤ Profit And Loss ➤ 1

1. Cost Price: The price at which an article is purchased, is called its cost price , abbreviated as C.P.

2. Selling Price: The price at which an article is sold, is called its selling price, abbreviated as S.P.

3. Profit Or Gain: If S.P. is greater than C.P., the seller is said to have a profit or Gain.

4. Loss: If S.P. is less than C.P., the seller is said to have incurred a loss.

5. Formulae:

i) Gain = SP - CP
ii) Loss = CP - SP
iii) Loss or Gain is always reckoned on CP.
iv) Gain % = (Gain X 100)/CP
v) Loss % = (Loss X 100)/CP
vi) SP = [(100+Gain%)/100] X CP
vii) SP = [(100-Loss%)/100] X CP
viii) CP = [100/(100+Gain%)] X SP
ix) CP = [100/(100-Loss%)] X SP
x) If an article is sold at a gain of say , 35 % , then SP = 135 % of CP
xi) If an article is sold at a loss of say , 35 % , then SP = 65 % of CP
xii) When a person sells two similar items , one at a gain of say , x % , and the other at a loss of x % , then the seller always incurs a loss given by :

Loss % = [(Common loss or gain %)/10]2
               = (x/10)2

xiii) If a trader professes to sell his goods at cost price , but uses false waits, then

Gain % = [Error/(True Value - Error)] X 100 %

Question 6
Q6.  Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit ?
Question 7
Q7.  The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit ?
Question 8
Q8.  At a clearance sale, all goods are on sale at 45 % discount. If Nikita buy a skirt marked Rs. 600, how much would she need to pay ?
Question 9
Q9.  How much % must be added to the cost price of goods so that a profit of 20 % must be made after throwing off a discount of 10 % from the marked price ?
Question 10
Q10.  If selling price is doubled, the profit triples. Find the profit percent.
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