Question

By selling an article at ₹ 540,a profit of 100/8% is made. In order to double the profit, at what price should the article be sold?​

Answer 1

Given that:

• By selling an article at ₹ 540, a profit of 100/8% is made.

To Find:

• In order to double the profit, at what price should the article be sold?

We know that:

• CP = (SP × 100)/(100 + Profit%)
• SP = {(100 + Profit%)CP}/100

Where,

• CP = Cost price
• SP = Selling price

We have:

• SP = ₹ 540
• Profit% = 100/8 = 12.5%

Finding the cost price of an article:

⟶ CP = (540 × 100)/(100 + 12.5)

⟶ CP = 54000/112.5

⟶ CP = 480

∴ Cost price of an article = ₹ 480

Now we have:

• CP = ₹ 480
• Profit% = 2 × 100/8 = 25%

Finding the selling price if the profit is doubled:

⟶ SP = {(100 + 25)480}/100

⟶ SP = (125 × 480)/100

⟶ SP = 600

∴ Selling price if the profit is doubled = ₹ 600

Hence,

• In order to double the profit, the article be sold at ₹ 600.

Answer 2

Question:-

• By selling an article at ₹ 540,a profit of 100/8% is made. In order to double the profit, at what price should the article be sold?

To Find:-

• Find the price should the article be sold ?

Solution:-

Given ,

• Sold price = ₹.540

• Profit % = 12.5 %

First ,

We have to find the cost price of the article:-

$\dashrightarrow\sf \: Cost \: Price = \dfrac { SP } { Profit + 100 } \times 100$

$\dashrightarrow\sf \: Cost \: Price = \dfrac { 54000 } { 12.5 + 100 }$

$\dashrightarrow\sf \: Cost \: Price = \dfrac { 54000 } { 112.5 }$

$\dashrightarrow\sf \: Cost \: Price = 480$

Now ,

We have to find the selling price of the profit is doubled:-

$\dashrightarrow\sf \: SP = \dfrac { ( 100 + 25 )480 } { 100 }$

$\dashrightarrow\sf \: SP = \dfrac { 125 \times 480 } { 100 }$

$\dashrightarrow\sf \: SP = 600$

Hence ,

• In order to double the profit , price should the article be sold at ₹ 600.