Question

78. A carpenter bought an old table at Rs 480 and spent 20%
of it on repairing. If he wants to make a profit of
Rs 144 then what percentage should be added in
purchase price?​

Answer 1

Your Answer:

Given:-

• Cost of Old table= Rs 480
• Percentage spent on repairing=20%

Solution:-

20% of 480 = $\frac{20\times480}{100}$

= 96 rupees

So, the new cost of the table is

= 480 + 96

= 576 rupees

To make a profit of 144 the selling price should be

576+144

= 720

So, profit percentage = $\tt \frac{Profit}{Cost Price}\times100$

Here, Profit = 144 rupee

Cost Price = 576  ( because the repairing cost must be added)

Profit%=$\tt \frac{144}{576}\times100$

= 25 %

So, he had to add 25% in purchase price.

If here the purchase price is the new cost price

Answer 2

Answer:

Given:

• A carpenter bought an old table at Rs 480 and spent 20% of it on repairing.

Find:

• If he wants to make a profit of Rs 144 then what percentage should be added in purchase price?

Calculations:

⇒ $\sf \dfrac{20 \times 480}{100}$

⇒ ${\sf{\underline{\boxed{\green{\sf{96 }}}}}}$

• Finding the new cost, adding the values form before equation, we get:

⇒ $\sf 480 + 96$

⇒ ${\sf{\underline{\boxed{\green{\sf{ 576 }}}}}}$

• According to the question, If he wants to make a profit of Rs 144 then what percentage should be added in purchase price.
• Adding the value of before equation with the profit of Rs 144, we get CP:

⇒ $\sf 576 + 144$

⇒ ${\sf{\underline{\boxed{\green{\sf{720}}}}}}$

• Finding the percentage, using formula:

☆ ${\sf{\underline{\boxed{\green{\sf{ Profit \: percentage = \dfrac{Profit}{Cost \: price} \times 100 }}}}}}$

⇒ $\sf Profit \: percentage = \dfrac{-144}{576} \times 100$

⇒ ${\sf{\underline{\boxed{\green{\sf{ 25 }}}}}}$

Therefore, 25% should be added in purchase price.