Question

A shopkeeper marks his goods 20% above the cost price and allows a discount of 15% on them. what percent does he gain?
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Answer 1

$\LARGE\sf {\underline{\underline\green{Required \:  Answer:-}}}$

Let the cost price be 100/-

Then the marked price(MP) = 100 + 20 = 120/-

$\boxed{\sf{Discount \: percentage \: on \: marked \: price = 15\%}}$

$\sf{Discount = \dfrac{15}{100} \times 120 = 18 \: rupees.}$

${\underline{\boxed{\sf{SP = MP - Discount}}}}$

So,

$\sf{120-8=102/-}$

${\underline{\boxed{ \sf{Gain =SP-CP}}}}$

So then,

$= \sf{102 - 100 = 2 \: rupees }$

$\sf{Gain \: \% = \dfrac{2}{100} = 2\%}$

Thus, The shopkeeper gains 2% after discount.

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Answer 2

$\LARGE\sf {\underline{\underline\green{Required \:  Answer:-}}}$

Let the cost price be 100/-

Then the marked price(MP) = 100 + 20 = 120/-

$\boxed{\sf{Discount \: percentage \: on \: marked \: price = 15\%}}$

$\sf{Discount = \dfrac{15}{100} \times 120 = 18 \: rupees.}$

${\underline{\boxed{\sf{SP = MP - Discount}}}}$

So,

$\sf{120-8=102/-}$

${\underline{\boxed{ \sf{Gain =SP-CP}}}}$

So then,

$= \sf{102 - 100 = 2 \: rupees }$

$\sf{Gain \: \% = \dfrac{2}{100} = 2\%}$

Thus, The shopkeeper gains 2% after discount.

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