Question

A shopkeeper marks certain goods at 20% above the cost price and then gives 10% discount. Find his net gain percent.​

Answer 1

Question:–

A shopkeeper marks certain goods at 20% above the cost price and then gives 10% discount. Find his net gain percent.

To Find:–

• Net gain percent

Solution:–

• Let the cost price = Rs.100
• Let the mark price = Rs.120

$\longmapsto{ \sf \: selling \: price \: = 90\% \: of \: 120}$

$\longmapsto{ \sf \: \: \: \frac{120 \times 90}{100} = Rs.108 }$

$\boxed{ \mathfrak{ \red{\underline{ \green{Profit = Selling \: price− Cost \: price}}}}}$

$\longmapsto{ \sf \: \: \: Rs.(108 - 100) = Rs.8 }$

$\longmapsto{ \sf \: \: \: \: profit\% = \frac{8 \times 100}{100} = 8\% }$

Hence,

• The net gain percent is 8%.

Answer 2

Let the Cost Price or CP be X

then the Marked Price will be equal to X +20% of X

thus MP = X + 20/100 x X

= X + 20X/100

= 120X/100

then the question says he gave a discount of 10%

thus Discount is = 10% of MP

D = 10/100 x 120X/100

D = 12X/100

thus SP = MP - D

SP = 120X/100 - 12X/100

SP = 108X/100

Profit or P = SP - CP

P = 108X/100 - X

P = 8X/100

thus Profit/Gain % = P/CP x 100

N.G.%(Net Gain Percent) = (8X/100)/X x 100

N.G.% = 8X/100X x 100

= 8/100 x 100

= 8%

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