Question

A dealer is selling an article at a discount of 10% which is marked at 600, and still he makes 25% profit. Find:

(i) the selling price

(ii) the cost price

Answer 1

Answer:

Let the cost price of the article be Rs.100

Then, the marked price of the article = 100 × (125/100) = Rs.125

Discount of 10% given on marked price

Selling price of the article = 125 × (90/100) = Rs.112.5

Profit percentage = (SP – CP/CP) × 100

∴ Profit percentage = {(112.5 – 100)/100} × 100 = 12.5%

Step-by-step explanation:

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Answer 2

A N S W E R :-

(i)

Given:

• M.P. = ₹600
• discount = 10%

To Find:

• S.P. = ?

Solution:

• $\sf{ \left[ S.P. = \left( 1 - \dfrac{ d}{100} \right) \times M.P. \right] }$

S.P. = $\sf{ 1 - \left( \dfrac{10}{100}\right) \times ₹600}$

⠀⠀⠀= $\sf{ \left( ₹ \dfrac{90}{100} \times 600 \right) = \pink{₹540}}$

Hence, the selling price is ₹540.

(ii)

Given:

• S.P. = ₹540
• Profit = 25%

To Find:

• C.P. = ?

Solution:

• $\sf{ \left[ S.P. = \left( 1 + \dfrac{P}{100} \right) \times C.P. \right] }$

₹540 = $\sf{ \left( 1+ \dfrac{25}{100} \right) \times C.P.}$

$\implies$ ₹540 = $\sf{\dfrac{125}{100} \times C.P.}$

$\implies$ C.P. = $\sf{ \left( ₹ 540 \times \dfrac{100}{125} \right) = ₹ (108 \times 4)}$

$\pink\implies$ $\sf\pink{ ₹432}$

Hence, the cost price is ₹432.

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