**Shortcut 33:**

Selling price at profit or loss

[latex]S.P=C.P\pm(a/100)C.P[/latex]

Substitute ‘+’ if profit; ‘-‘ if loss

Question:

A product worth Rs. 25000 is sold at a profit of 35%. Find the selling price?

Answer:

a = +35

C.P = 25000

Substitute the values in the above equation, we get

S.P = 25000 + (35/100)25000

S.P = 33750

Selling price = Rs. 33750

**Shortcut 34:**

Successive profit or loss

*[latex]S.P=\frac{100+a}{100}\times\frac{100+b}{100}\times\frac{100+c}{100}C.P[/latex]*

a, b , c = values of percentage profit or loss

Substitute ‘+’ for profit and ‘-‘ for loss

Question:

A watch worth Rs. 5000 is sold by A to B at 10% loss. B sold it to C at 30% loss. C sold it to D at 40% profit. What is the price at which D bought the watch?

Answer:

a = -10; b = -30; c = 40

C.P = 5000

Substitute the values in the above equation, we get

S.P = (9/10)(7/10)(14/10) x 5000

S.P = 4410

D bought the watch for Rs. 4410

**Shortcut 35:**

Steady profit or loss

[latex]S.P=C.P\lbrack1+(a/100)\rbrack^n[/latex]

a = value of profit or loss

Substitute ‘+’ for profit and ‘-‘ for loss

Question:

The price of a laptop decreases by 20% every year. It the laptop was bought for Rs. 45000, at what price will it be sold after 2 years?

Answer:

a = -20

C.P = 45000

Substitute the values in the above equation, we get

S.P = 45000[0.8]2

S.P = 28800

Selling price after two years = Rs. 28800

**Shortcut 36:**

Discount percentage

*[latex]D\%=\frac{M.P-S.P}{M.P}\times100[/latex]*

M.P = Marked price or Market price of the product

Question:

A product is marked Rs. 450 by the seller. If he sells at a price of Rs. 330, what is the discount provided in percentage?

Answer:

M.P = 450

S.P = 330

Substitute the values in the above equation, we get

D% = [(450-330)/450]x100

D% = 26.67%

Discount provided in percentage = 26.67%