Question

An article is sold for Rs. 2000 with profit of 25%. What would have been the percentage of profit, if it was sold for Rs. 1800?

• A. 10%
• B. 11%
• C. 12.5%
• D. 13.5%

Hint:

First find the cost price using \(CP = \frac{2000 \times 100}{125}\), then work out the profit percent on Rs. 1800.

Answer 1

The Correct Option is C

Step 1: Use the ratio of selling prices:
The cost price stays the same. So the selling price is directly proportional to the amount of (100 + profit percent).
When $SP = 2000$, the value is $100 + 25 = 125$.

Step 2: Scale down to Rs. 1800:
Let the new value be $x$. Then
\[ \frac{1800}{2000} = \frac{x}{125} \]
\[ x = 125 \times 0.9 = 112.5 \]

Step 3: Convert back to profit:
A value of 112.5 means the selling price is 112.5 percent of the cost price. So the profit is $112.5 - 100 = 12.5$ percent.

Step 4: Quick check with numbers:
Cost price is $2000 \div 1.25 = 1600$. Then $1600 \times 1.125 = 1800$, which matches the new selling price.

Final Answer:
The new profit percentage is 12.5 percent. \[ \boxed{12.5 \%} \]