Question : A sold an article to B at 25% profit, and B further sold it to C by earning a certain profit. If the cost price for C is 30% more than the cost price for A, find the profit percentage earned by B.
Option 1: $5\frac{1}{2}\%$
Option 2: $4\%$
Option 3: $5\%$
Option 4: $4\frac{1}{2}\%$
Correct Answer: $4\%$
Solution :
Let the cost price for A be $x$.
Now, selling price of A = Cost price of B = $\frac{100 + \text{Profit}}{100}$ × Cost price = $\frac{100 + 25}{100}\times x$ = $1.25x$
Now the cost price of C = $x + \frac{30}{100}\times x$ = $1.3x$
The cost price of C is equal to the selling price of B.
$\therefore$ Profit percentage = $\frac{1.3x – 1.25x}{1.25x}\times 100$ = 4%
Hence, the correct answer is 4%.
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