Question

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 1

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

Answer 2

Answer:

Given :-

• 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%.

To Find :-

• What is the price he must sell the mixture of to gain 15%.

Solution :-

➦ Cost of 70 kg of tea at 15 per kg,

↦ 70 × 15

➠ Rs 1050

➦ Cost of 30 kg of tea at 18.50 per kg,

↦ 30 × 18.50

➠ Rs 555

➦ Hence, total cost is,

↦ Rs 1050 + Rs 555

➠ Rs 1605

Now, selling price including packing charges are 2%,

Given :

• CP = Rs 1605
• Charges = 2%

According to the question,

⇒ 1605 + 2% × 1605

⇒ 1605 + 2 × 1/100 × 1605

⇒ 1605 + 32.10

➠ Rs 1637.10

Hence, cost price of tea is Rs 1637.10.

As we know that,

✯ Selling Price=(100 + Gain%)/100×CP ✯

Given :

• Gain% = 15%
• CP = 1637.10

According to the question by using the formula we get,

↦ SP = (100 + 15)/100 × 1637.10

↦ SP = (115)/100 × 1637.10

↦ SP = 1.15 × 1637.10

➦ SP = Rs 1882.665 ≈ Rs 1880

Hence, the selling price of tea is Rs 1880.

Then, the total weight,

↛ 70 + 30

➤ 100 kg

Then, selling price per kg will be,

↪ 1880/100

↪ 188/10

➠ Rs 18.80 per kg.

∴ The price he must sell the mixture of to gain 15% is Rs 18.80 per kg .

Hence, the correct options is option no (A) Rs 18.80 per kg.