7.
10
A trader purchases 70 kg of tea at 15 per kg and 30
kg of tea at * 18.50 per kg. If the packing charges are
2 percent, then at what price he must sell the mixture
of two to gain 15%?
(A) * 18.80 per kg (B) 18 per kg
(C) * 18.50 per kg (D) 17.80 per kg
Answer:
At rate of Rs 18.80 per kg he must sell the mixture of two tea to gain 15%
Explanation:
Given that:
A trader purchases 70 kg of tea at 15 per kg.
And 30 kg of tea at 18.50 per kg.
Formula: Total cost = Rate × Weight
Finding the cost of 70 kg of tea:
→ Cost of 70 kg of tea = Rs 15 × 70
→ Cost of 70 kg of tea = Rs 1050
Finding the cost of 30 kg of tea:
→ Cost of 30 kg of tea = Rs 18.50 × 30
→ Cost of 30 kg of tea = Rs 555
Finding the cost of tea when both are mixed:
(70 + 30) kg of tea Cost = Rs (1050 + 555)
→ 100 kg of tea cost = Rs 1605
Given: The packing charges are 2 percent.
→ Total cost price of tea = Rs (1605 + 2% of 1605)
→ Total cost price of tea = Rs (1605 + 32.10)
→ Total cost price of tea = Rs 1637.10
To find:
At what price he must sell the mixture of two to gain 15%.
Formula used:
Selling price = (100 + gain)% of Cost price
Finding the selling price of 100 kg of tea:
→ Selling price of 100 kg of tea = Rs (100 + 15)% of 1637.10
→ Selling price of 100 kg of tea = Rs (115% × 1637.10)
→ Selling price of 100 kg of tea = Rs 1882.665 ≈ Rs 1880
Finding the selling price of 1 kg of tea:
Selling price of 100 kg of tea = Rs 1880
∴ Selling price of 1 kg of tea = Rs 1880/100
∴ Selling price of 1 kg of tea = Rs 18.80
Question:
A trader purchases 70 kg of tea at 15 per kg and 30 kg of tea at 18.50 per kg. If the packing charges are 2 percent, then at what price he must sell the mixture of two to gain 15% ?
Answer:
(A) 18.80 per kg