If P= 350 and Q = 600, then P is how much per cent less than Q?

Options

A. 41.66
B. 58.33
C. 71.42
D. 35.33

Answer

To find out how much percentage P is less than Q, we can follow these steps:

### Step 1: Identify the values of P and Q.
Given:
- P = 350
- Q = 600

### Step 2: Calculate the difference between Q and P.
To find how much less P is than Q, we subtract P from Q:
\[ \text{Difference} = Q - P = 600 - 350 \]

### Step 3: Perform the subtraction.
Calculating the difference:
\[ \text{Difference} = 600 - 350 = 250 \]

### Step 4: Calculate the percentage difference.
To find out how much percentage this difference (250) is of Q (600), we use the formula:
\[ \text{Percentage} = \left( \frac{\text{Difference}}{Q} \right) \times 100 \]
Substituting the values:
\[ \text{Percentage} = \left( \frac{250}{600} \right) \times 100 \]

### Step 5: Perform the division and multiplication.
Calculating the percentage:
\[ \text{Percentage} = \left( \frac{250}{600} \right) \times 100 = \frac{250 \times 100}{600} = \frac{25000}{600} \]

### Step 6: Simplify the fraction.
Now, we simplify \( \frac{25000}{600} \):
\[ \frac{25000 \div 100}{600 \div 100} = \frac{250}{6} \]

### Step 7: Perform the division.
Calculating \( \frac{250}{6} \):
\[ 250 \div 6 \approx 41.67 \]

### Step 8: Conclusion.
Thus, P is approximately 41.67% less than Q.

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