Question

Laptop was purchased at 120% of the cost of mobile. What is the percentage cost of mobile to the total cost?

Answer 1

Correct Answer: 40

To determine the percentage cost of the mobile relative to the total cost, let's define the costs and follow the necessary steps.

Let the cost of the mobile be \( M \). According to the problem, the cost of the laptop is 120% of the cost of the mobile. So, the cost of the laptop \( L \) is:

\( L = 1.2M \) 

The total cost, which is the sum of the costs of the laptop and the mobile, is:

\( \text{Total Cost} = M + L = M + 1.2M = 2.2M \)

Now, to find the percentage cost of the mobile relative to the total cost, we use the formula:

\( \text{Percentage cost of mobile} = \left(\frac{M}{\text{Total Cost}}\right) \times 100 \)

Substitute the total cost:

\( \text{Percentage cost of mobile} = \left(\frac{M}{2.2M}\right) \times 100 = \left(\frac{1}{2.2}\right) \times 100 \)

Calculate the percentage:

\( \text{Percentage cost of mobile} \approx 45.45\% \)

This implies that the mobile's cost is approximately 45.45% of the total cost, which unfortunately does not fall within the given range of 40 to 40, indicating a possible issue in either interpretation or the range itself.