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Profit and Loss (Concept, Formula, questions and solution)

Important Formulae

                    *C.P. - Cost Price (This is the price at which an object is purchased)
                 * S.P. - Selling Price (This is the price at which an object is sold)

1. Profit = S.P. - C.P.

2. Profit % =    profit 
                       --------- * 100
                        C.P.

3. Loss = C.P. - S.P.

4. Loss % =  Loss 
                    -------- * 100
                      C.P.

5. Discount = Market price - S.P.

6. Discount %=      Discount
                           ------------------ * 100
                            Market price 

7. S.P. = C.P. + (C.P. * P%)

8. S.P. = C.P. - (C.P.*L%)

9. C.P. =    S.P.
                --------- * 100
                100+P 

10. C.P. =   S.P.
                 ------- * 100
                100 - L

Some Questions and solutions


 

1. I bought a pair of shoes for Rs. 600 and sold it to my friend for Rs. 727. What is the profit percentage?





ANSWER= B) (21+ 1/6) %
Explain:- C.P. = 600 S.P. = 727 Profit = 600 – 727 =127 Profit % = 127/600 X 100 = 21 1/6 %

 

2. My friend Jay buys a house for Rs. 1,50,000 and sells it for Rs. 2,00,000 next year. After 5 year he buys the same house for 4,00,000 and sell it for 4,50,000 within 6 month. What is the overall profit percentage of Jay?





ANSWER= B) (21+ 1/6) %
Explain:- C.P. = 600 S.P. = 727 Profit = 600 – 727 =127 Profit % = 127/600 X 100 = 21 1/6 %

 

3. Syam sold a book for 53 Rupees with a profit of 6%, what is the cost price?





ANSWER= B) 50
Explain:- The sold price with 6% profit is 53 i.e. 106% = 53 therefore C.P. = (53/106)X 100 = 50

 

4. In a store the cost price of a monitor is 4200. What will be the selling price with 13% loss?





ANSWER= A) 3654
Explain:- Given, C.P.= 4200, Loss precentage = 13% Therefore S.P. = 87% of 4200 = 4200*(87/100) = 3654

 

5. Muna buys a book for 450 with a discount of 40%, What is the market price?





ANSWER= D) 750
Explain:- Market price = (450/60)*100= 750