A sales an article to B at profit of 10%, B sales it to C at a profit of 20%. C's price is what percent more than A's price

Question: A sales an article to B at profit of 10%, B sales it to C at a profit of 20%. C's price is what percent more than A's price?

• 32%
• 35%
• 40%
• 42%

Answer: 

$$\text{Net Percentage Increase}=x+y+\frac{xy}{100}$$

• $x = 10\%$ (A to B)

• $y = 20\%$ (B to C)

$$10 + 20 + \frac{10 \times 20}{100} = 10 + 20 + 2 = 32\%$$

C’s price is 32% more than A’s price.

Detail Solution:

1. Let A’s price = ₹100

2. A sells to B at a profit of 10%, so B’s price = ₹100 + 10% of ₹100
   => B’s price = ₹100 + ₹10 = ₹110

3. B sells to C at a profit of 20%, so C’s price = ₹110 + 20% of ₹110
   => C’s price = ₹110 + ₹22 = ₹132

4. Now, C’s price is ₹132, and A’s price is ₹100.
   Percentage increase = $\frac{(132 - 100)}{100} \times 100$
   => $\frac{32}{100} \times 100 = 32\%$

** C's price is 32% more than A's price.

If you find this content helpful, consider supporting us by clicking on any of the ads on this page.

Mock Test Click Here

Madhyamik Previous Year Solution Click Here

CBSE Class 10 History Notes Click Here

You Can Translate It In Your Language: