Question

The marked price of a chair is Rs. 1200. A 10% discount is given on it. Calculate the discount and selling price of the chair in the 2 Methods.
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Answer 1

Given:

• The marked price of a chair is Rs. 1200.
• A 10% discount is given on it

To Find:

• To calculate the discount and selling price of the chair.

Solution by using Method I:

Marked price = Rs. 1200, discount = 10%

To find the ratio,

$\dag \; \underline{\boxed{\sf{\purple{ \dfrac{ discount }{ marked \: price } }}}}$

   

Let's assume that, discount obtained is Rs. x on the marked price of a chair.

$\implies \sf{ \dfrac{x}{1200}= \dfrac{10}{100} }$

$\implies \sf{ x = \dfrac{1\cancel{0}}{1\cancel{0} \cancel{0}} \times 120\cancel{0} }$

$\implies \boxed{\sf{\orange{x = 120}}}$

∴ Discount = Rs. 120

   

To find the selling price, we know the formula;

$\dag \; \underline{\boxed{\sf{\purple{ Selling \: Price = Marked \: Price - Discount }}}}$

   

Therefore,

$\implies \sf{1200 - 120}$

$\implies \boxed{\sf{\orange{1080}}}$

   

∴ The selling price of a chair is Rs. 1080.

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Solution by using Method II:

10% discount is given on marked price. Therefore, if the marked price is Rs. 100, then the selling price is Rs. 90.

Therefore, when the marked price is 1200, let the selling price be Rs. x.

   

Therefore,

$\implies \sf{ \dfrac{ x }{ 1200 } = \dfrac{ 90 }{ 100 } }$

$\implies \sf{ x = \dfrac{ 9\cancel{0}}{10\cancel{0} } \times \dfrac{120 \cancel{0} }{1 } }$

$\implies \boxed{\sf{\orange{x = 1080}}}$

The selling price of a chair is Rs. 1080.

   

Therefore discount =

$\implies \sf{1200 - 1080}$

$\implies \boxed{\sf{\orange{Rs. 120}}}$

   

─ Therefore, we got the common answer by trying out the two different methods. We get the conclusion as Rs. 120.

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Answer 2

Step-by-step explanation:

Discount = Rs. 120

To find the selling price, we know the formula;

\dag \; \underline{\boxed{\sf{\purple{ Selling \: Price = Marked \: Price - Discount }}}}

Therefore,

\implies \sf{1200 - 120}⟹1200−120

\implies \boxed{\sf{\orange{1080}}}⟹

1080

∴ The selling price of a chair is Rs. 1080.

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Solution by using Method II:

10% discount is given on marked price. Therefore, if the marked price is Rs. 100, then the selling price is Rs. 90.

Therefore, when the marked price is 1200, let the selling price be Rs. x.

Therefore discount =

\implies \sf{1200 - 1080}⟹1200−1080

\implies \boxed{\sf{\orange{Rs. 120}}}⟹

Rs.120

─ Therefore, we got the common answer by trying out the two different methods. We get the conclusion as Rs. 120.

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