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