Question

vendor sold 70% goods at 6% loss, while the rest are sold at 10% profit. if there is a total loss rs. 180, what is the worth of the goods sold?

Answer 1

The worth of the goods sold is Rs. 750.

Step-by-step explanation:

To solve this problem, we can set up an equation based on the given information. Let's say the worth of the goods sold is 'x'. According to the question, 70% of the goods are sold at a 6% loss, which means the price at which they were sold is 94% of their worth. So the amount obtained from selling 70% of the goods is 0.7x × 0.94.

The remaining 30% of the goods are sold at a 10% profit, which means the price at which they were sold is 110% of their worth. So the amount obtained from selling the remaining 30% of the goods is 0.3x × 1.1.

According to the question, the total loss is Rs. 180. We can set up the equation 0.7x × 0.94 + 0.3x × 1.1 = 180 and solve for x. By solving the equation, we find that the worth of the goods sold is Rs. 750.

Answer 2

To find the worth of the goods sold, an equation based on the percentages of goods sold at a loss and profit, as well as the overall loss, is set up and solved.

Step-by-step explanation:

The question involves solving a problem related to percentages and profit and loss, which are concepts taught in high school mathematics. To find the worth of the goods sold, we start by setting up an equation that represents the situation. Let the total worth of the goods be x. Then 70% of the goods are sold at a 6% loss and 30% of the goods are sold at a 10% profit. The overall transaction resulted in a loss of Rs. 180.

To express the given information mathematically, we have:

• 0.70x × (1 - 0.06) for the 70% of goods sold at a 6% loss.
• 0.30x × (1 + 0.10) for the 30% of goods sold at a 10% profit.

Considering the total loss, the equation becomes:

0.70x × 0.94 + 0.30x × 1.10 = x - 180

By solving this equation, we can find the value of x, which represents the total worth of the goods sold.