A dry fruit seller purchased 3 kinds of nuts at the rate of 100/kg, 80/kg and 60/kg. He then mixed them, respectively, in the ratio 3 : 4 : 5 by weight and sold the same to a customer at 50% profit. The price at which he sold to the customer is

Question

An iron beam made with rare materials has its market price dependent on the square of its length. The beam broke into two pieces in the ratio of 4 : 9. If it is sold as two separate pieces, what would be the percentage profit or loss compared to its original value?

Answer 1

The correct answer is option (D):

115

Here's how to solve this problem, breaking it down step-by-step:

First, calculate the weighted average cost of the nuts. We're given the ratio of the nuts is 3:4:5. Let's assume the seller bought 3 kg of the first type, 4 kg of the second type, and 5 kg of the third type. This makes the total weight 3 + 4 + 5 = 12 kg.

Now, calculate the cost of each type of nut:

* Type 1: 3 kg * 100/kg = 300
* Type 2: 4 kg * 80/kg = 320
* Type 3: 5 kg * 60/kg = 300

Next, find the total cost of all the nuts: 300 + 320 + 300 = 920

Then, find the cost per kg of the mixture: 920 / 12 kg = 76.67/kg (approximately)

Finally, calculate the selling price with a 50% profit margin:

Profit per kg = 76.67 * 0.50 = 38.33
Selling price per kg = 76.67 + 38.33 = 115

Therefore, the seller sold the mixture at a price of 115/kg.

A dry fruit seller purchased 3 kinds of nuts at the rate of 100/kg, 80/kg and 60/kg. He then mixed them, respectively, in the ratio 3 : 4 : 5 by weight and sold the same to a customer at 50% profit. The price at which he sold to the customer is

The Correct Option is D

Solution and Explanation

Top Questions on Profit and Loss

Questions Asked in IBSAT exam