Two articles cost Rs.2500 each. One is sold at 5% profit. On the whole if there is 20% profit, what is the percentage profit on selling the other article?

Correct option is A

Given:

Cost of each article = Rs. 2500

Profit on the first article = 5%

Total profit on both articles = 20%

Formula Used:

Total Profit = $$\frac{(Selling\ Price - Cost\ Price)}{Cost\ Price}× 100$$%​

Solution:

Cost Price of both articles = 2500 + 2500 = 5000

Total Selling Price = Cost Price × (1 + Total Profit)

Total Selling Price = 5000 × 1.20

Total Selling Price = 6000

Selling Price of the first article = 2500 × 1.05

Selling Price of the first article = 2625

Selling Price of the second article = 6000 - 2625

Selling Price of the second article = 3375

Profit on the second article = $$\frac{(Selling\ Price - Cost\ Price)}{Cost\ Price}× 100$$​​

Profit on the second article = $$\frac{(3375 - 2500)}{ 2500} × 100$$%​

Profit on the second article = $$\frac{875}{2500} × 100$$%​

Profit on the second article = 0.35 × 100

Profit on the second article = 35%