Question

9. After allowing a discount of 15% on the marked price of goods, a shopkeeper still makes a profit of 19%
By what percent is the marked price above the cost price? ​

Answer 1

Answer:

40%

Step-by-step explanation:

This structured approach would be helpful :

Let CP = 100

MP = x

Discount = 15%

SP = 119

Profit = 19

Facts :

MP is always marked up as a % of CP.

Discount is always on MP

MP - Discount = SP

SP - CP = Profit

Plugging in values, x - 0.15x = 119

=> 0.85x = 119

=> x = 119/0.85 = 140

Markup = 40/100 x 100 = 40%

Note : There are five variables involved in this is type of question. If these variables are written strictly in above order, and any four variables are known, it is easy to determine the fifth.

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Answer 2

HERE IS YOUR ANSWER FRIEND:

Let CP = 100

Let CP = 100MP = x

Let CP = 100MP = xDiscount = 15%

Let CP = 100MP = xDiscount = 15%SP = 119

Let CP = 100MP = xDiscount = 15%SP = 119Profit = 19

Let CP = 100MP = xDiscount = 15%SP = 119Profit = 19Facts :

Let CP = 100MP = xDiscount = 15%SP = 119Profit = 19Facts :MP is always marked up as a % of CP.

Let CP = 100MP = xDiscount = 15%SP = 119Profit = 19Facts :MP is always marked up as a % of CP.Discount is always on MP

Let CP = 100MP = xDiscount = 15%SP = 119Profit = 19Facts :MP is always marked up as a % of CP.Discount is always on MPMP - Discount = SP

Let CP = 100MP = xDiscount = 15%SP = 119Profit = 19Facts :MP is always marked up as a % of CP.Discount is always on MPMP - Discount = SPSP - CP = Profit

Let CP = 100MP = xDiscount = 15%SP = 119Profit = 19Facts :MP is always marked up as a % of CP.Discount is always on MPMP - Discount = SPSP - CP = ProfitPlugging in values, x - 0.15x = 119

Let CP = 100MP = xDiscount = 15%SP = 119Profit = 19Facts :MP is always marked up as a % of CP.Discount is always on MPMP - Discount = SPSP - CP = ProfitPlugging in values, x - 0.15x = 119=> 0.85x = 119

Let CP = 100MP = xDiscount = 15%SP = 119Profit = 19Facts :MP is always marked up as a % of CP.Discount is always on MPMP - Discount = SPSP - CP = ProfitPlugging in values, x - 0.15x = 119=> 0.85x = 119=> x = 119/0.85 = 140

Let CP = 100MP = xDiscount = 15%SP = 119Profit = 19Facts :MP is always marked up as a % of CP.Discount is always on MPMP - Discount = SPSP - CP = ProfitPlugging in values, x - 0.15x = 119=> 0.85x = 119=> x = 119/0.85 = 140Markup = 40/100 x 100 = 40%

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