Question

How many kgs of tea worth Rs. 25 per kg must be blended with 30 kgs of tea worth Rs. 30 per kg so that by selling the blended variety at Rs. 30 per kg there should be a gain of 10%?

• A. 36 kgs
• B. 40 kgs
• C. 32 kgs
• D. 42 kgs

Answer 1

The Correct Option is A

To solve this problem, we need to find how many kilograms of tea worth Rs. 25 per kg should be mixed with 30 kg of tea worth Rs. 30 per kg to achieve a blend that, when sold at Rs. 30 per kg, results in a 10% profit.

Let x be the kgs of tea worth Rs. 25 per kg.

The total cost price for x kg of Rs. 25 per kg tea is:

Cost = 25x

The total cost price for 30 kg of Rs. 30 per kg tea is:

Cost = 30 × 30 = 900

The combined weight of the blended tea will be x + 30 kg.

The selling price for the blended tea must reflect a 10% gain. Since the selling price per kg is Rs. 30, the actual price per kg to achieve this gain is:

Let's calculate the cost price allowing for a 10% profit:

Selling Price (SP) per kg = Cost Price (CP) per kg × 1.10

So, CP per kg = 30 / 1.10 = 27.27 approx.

Now, find the cost price of the entire blended tea:

27.27 × (x + 30)

Equate the total cost of blended tea to the sum of individual costs:

25x + 900 = 27.27 × (x + 30)

25x + 900 = 27.27x + 818.1

Rearrange and simplify to solve for x:

900 - 818.1 = 27.27x - 25x

81.9 = 2.27x

x = 81.9 / 2.27

x ≈ 36

Therefore, 36 kg of tea worth Rs. 25 per kg should be blended with 30 kg of tea worth Rs. 30 per kg.