Question

1/4 of commodity is sold at profit of 20%.1/3 of commodity is sold at profit of 5% and remaining part of commodity is sold at profit of 24%.if total profit on commodity is Rs.100,what is value of commodity?

Answer 1

Given:

1/4 of the commodity is sold at a profit of 20%.

1/3 of the commodity is sold at a profit of 5% and the remaining part of the commodity is sold at a profit of 24%.

If the total profit on the commodity is Rs.100

To find:

What is the value of the commodity?

Solution:

Let's assume "x" represents the value of the commodity.

So, the profit earned on each part of the commodity are as follows:

On $\frac{1}{4}$th of the commodity → $\frac{1}{4} \times x \times \frac{20}{100} = \frac{x}{20}$

On $\frac{1}{3}$rd of the commodity → $\frac{1}{3} \times x \times \frac{5}{100} = \frac{x}{60}$

On the remaining i.e., $\frac{5}{12}$ (= $1 - \frac{1}{4} - \frac{1}{3}$) → $\frac{5}{12}\times x\times \frac{24}{100} = \frac{x}{10}$

The total profit on the commodity is given as Rs. 100

Therefore, we can form an equation as,

$\frac{x}{20} + \frac{x}{60} + \frac{x}{10} = 100$

$\implies \frac{3x \:+\:x\:+\:6x}{60} = 100$

$\implies 3x \:+\:x\:+\:6x = 6000$

$\implies 10x = 6000$

$\implies \bold{x = 600}$

Thus, the value of the commodity is → Rs. 600.

--------------------------------------------------------------------------------------------

Also View:

Of a commodity is sold at 15% profit, ¼ is sold at 20% profit and the rest at a 24% profit. If the total profit is Rs. 80 is earned then find the value of the commodity?

https://brainly.in/question/8925626

A commodity is sold at 480 with a loss of 20% on selling price, what is the cost price of the commodity?​

https://brainly.in/question/11341435

When a commodity is sold for Rs.34.80 there is a loss of 25% what is the cost price of the commodity?

https://brainly.in/question/6128340

A commodity is sold for rs 56 at a loss of 30%. What is the cost price?

https://brainly.in/question/8383366