Question

A man purchased a TV and fridge. If the price of TV is 150% of price of fridge then price of fridge is what percentage of the total cost of TV and fridge?

• A. 30
• B. 40
• C. 45
• D. 50

Answer 1

The Correct Option is B

Let the price of the fridge be \( F \). Then the price of the TV is \( 1.5F \).
The total cost of the TV and fridge is:
\[ F + 1.5F = 2.5F \]
The percentage of the total cost that is the price of the fridge is:
\[ \frac{F}{2.5F} \times 100\% = \frac{1}{2.5} \times 100\% = 40\% \]
Thus, the price of the fridge is 40% of the total cost of the TV and fridge.

Answer 2

Since the price of the TV is 150% of the price of the fridge, the ratio of TV price to fridge price is:
\[150:100 = 3:2\]

So for every 2 parts the fridge costs, the TV costs 3 parts, making the total cost \(3+2=5\) parts.

1. Option A (30): The fridge is 2 out of 5 parts, i.e. \(\frac{2}{5}\times100=40\%\), not 30%.
2. Option B (40): \(\frac{2}{5}\times100=40\%\), which matches exactly.
3. Option C (45): Does not match the 2-out-of-5-parts calculation.
4. Option D (50): Would only be correct if the two prices were equal, which they are not.

The fridge accounts for \(\frac{2}{5}\), i.e. 40%, of the total cost.

Hence, the correct answer is Option B: 40.