Question

The cost price of two types of tea is Rs. 180 per kg and Rs. 200 per kg, respectively. On mixing them in the ratio 5:3, the mixture is sold at Rs. 210 per kg. In the whole transaction, the gain percent is:

a) 10%
b) 15%
c) 20%
d) 25%

Answer 1

The gain percent in this transaction is 12%.

Step-by-step explanation:

To solve this problem, we need to calculate the cost price of the mixture and the selling price of the mixture. Let's assume that the total quantity of the mixture is 8 kg (5 kg of the first type of tea and 3 kg of the second type of tea), so the cost price of the mixture will be:

1. Cost price of the first type of tea = Rs. 180/kg * 5 kg = Rs. 900
2. Cost price of the second type of tea = Rs. 200/kg * 3 kg = Rs. 600
3. Total cost price of the mixture = Rs. 900 + Rs. 600 = Rs. 1500

The selling price of the mixture is given as Rs. 210/kg. Since the total quantity of the mixture is 8 kg, the selling price of the mixture will be:

Selling price of the mixture = Rs. 210/kg * 8 kg = Rs. 1680

To calculate the gain percent, we need to find the profit made and calculate it as a percentage of the cost price. The profit made in this transaction is:

Profit = Selling price - Cost price = Rs. 1680 - Rs. 1500 = Rs. 180

Now, we can calculate the gain percent:

Gain percent = (Profit / Cost price) * 100 = (Rs. 180 / Rs. 1500) * 100 = 12%