Question

How much per cent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 20% on the marked price, he gains 12%?​

Answer 1

Answer:

40%.

Step-by-step explanation:

Let us take cost price is 100.he gains 12%.

#sale price is 112. Discount on marked price = 20%.x-20%= 112.#x= 140.is marked price. therefore 40 % above cost price is marked price

Answer 2

Given:

• Discount on Good = 20%
• Gain = 12%

To Find:

• How much per cent above the cost price should a shopkeeper mark his goods?

Solution:

Let the Cost Price be Rs. 100 and Marked Price be Rs. x

Again,

Gain % after discount;

= 12% gain = 12% of 100 = Rs. 12

$\bigstar{\underline{\boxed{\tt\large\pink{ Selling \ Price_{(SP)} = Cost \ Price_{(CP)} + Gain }}}}$

$\implies$ Rs. (100 + 12) = Rs. 112

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$\bigstar$ Discount % :-

$\implies$ 20% Discount

$\implies$ 20% of Marked Price

$\implies$ Rs.20/100 × x

$\implies$ Rs. 20x/100

$\implies$ Rs. x/5

$\bigstar{\underline{\boxed{\tt{ Selling \ Price_{(SP)} = Marked \ Price_{(MP)} - Discount }}}}$

$\implies$ x – x/5 = 112

$\implies$ (5x – x)/5 = 112

$\implies$ 4x/5 = 112

$\implies$ x = 112 × 5/4

$\implies$ Rs. 140

Hence,

• Marked Price = ₹ 140

__________________________

$\bigstar$ Amount marked above the CP = MP – CP

$\implies$ Rs. (140 – 100) = Rs. 40

∴ % amount marked above the CP

Amount increased/CP × 100

$\implies$ 40/100 × 100

$\implies$ 40%

Hence,

• The Amount Marked above the Cost Price of the good is 40%.