Question

the markup percentage discount percentage and profit percentage are in the ratio 12:5:4.If the cost price is 90.then find the selling price?

Answer 1

Answer:

Rs 108

Step-by-step explanation:

The Markup percentage : Discount Percentage : Profit Percentage ::: 12 : 5 : 4

Let say The Markup percentage = 12 X

Discount Percentage = 5X

Profit Percentage = 4X

Cost Price = 90  Rs

The Markup percentage = 12 X

=> Marked Price = 90 + (12X/100)*90  = 90 (1 + 0.12X)  Rs

Discount Percentage = 5X

=> Discount = ( 5X/100) * 90 (1 + 0.12X)

Selling Price = 90 (1 + 0.12X) (1 - 0.05X)

Profit Percentage = 4X

Selling Price =  90 + (4X/100)*90  = 90 * (1  + 0.04X)

90 (1 + 0.12X) (1 - 0.05X) = 90 * (1  + 0.04X)

=> 1 - 0.006X² + 0.07X = 1 + 0.04X

=>  - 0.006X² = - 0.03X

=>  X = 0.03/0.006

=> X = 5

Selling  Price = 90(1 + 0.04*5) = 90 *(1.2) = 108 Rs

All informations :

Cost Price = 90 Rs

Markup percentage = 60 %

Marked Price = 144 Rs

Discount = 25 %

Selling Price = 108

Profit Percentage = 20 %

Answer 2

Answer:

Step-by-step explanation:

The Markup percentage : Discount Percentage : Profit Percentage ::: 12 : 5 : 4

Let say The Markup percentage = 12 X

Discount Percentage = 5X

Profit Percentage = 4X

Cost Price = 90 Rs

The Markup percentage = 12 X

=> Marked Price = 90 + (12X/100)*90 = 90 (1 + 0.12X) Rs

Discount Percentage = 5X

=> Discount = ( 5X/100) * 90 (1 + 0.12X)

Selling Price = 90 (1 + 0.12X) (1 - 0.05X)

Profit Percentage = 4X

Selling Price = 90 + (4X/100)*90 = 90 * (1 + 0.04X)

90 (1 + 0.12X) (1 - 0.05X) = 90 * (1 + 0.04X)

=> 1 - 0.006X² + 0.07X = 1 + 0.04X

=> - 0.006X² = - 0.03X

=> X = 0.03/0.006

=> X = 5

Selling Price = 90(1 + 0.04*5) = 90 *(1.2) = 108 Rs

All informations :

Cost Price = 90 Rs

Markup percentage = 60 %

Marked Price = 144 Rs

Discount = 25 %

Selling Price = 108

Profit Percentage = 20 %