Question

A grocer purchased 75kg of sugar at Rs.30 per kg and mixed it with 25 kg of sugar at Rs.36 per kg. At what rate should he sell the mixture to gain 10%.

Select one:

Rs.32.20



None of these



Rs.32.85



Rs.32.45



Rs.32.60

Answer 1

Hence, The correct option is (B), NONE OF THESE

Explanation:

Make a plan:

• In this question, we need to calculate the cost price and selling price of the mixture.
• Then we can get the selling price of the mixture by adding 10% profit to the cost price.
• Finally, we can calculate the rate of the mixture.

Solve the Problem:

• The cost price of 75 kg of sugar at Rs

30 per kg is:

75 * 30 = 2250

The cost price of 25 kg of sugar at Rs

36 per kg is:

25 * 36 = 900

• The total cost price of the mixture is:

2250 + 900 = 3150

• To gain 10% profit, the selling price of the mixture is:

3150 * 1.1 = 3465

• The total weight of the mixture is:

75 + 25 = 100 kg

• The rate of the mixture is:

3465 / 100 = 34.65

Draw the conclusion:

• The rate at which he or she should sell the mixture to gain 10% is:

Rs 34.65

Hence, The correct option is (B) NONE OF THESE.

Hope this helps!

Answer 2

None of these

Explanation:

Step 1:

75 kg x Rs.30 = 2250

25 kg x Rs.36 = 900

Total Cost Price = 2250 + 900 = Rs.3150.

Cost Price per Kg = 3150 / 100 = 31.5

Gain of 10% will be;

31.5 x 10 / 100 = 3.15

Cost Price with gain of 10% will be = 31.5+3.15 = Rs. 34.65.