If P is 50% less than Q and Q is 70% more than 640, then what is the value of P?

Options

A. 768
B. 544
C. 618
D. 448

Answer

To solve the problem step by step, we will first determine the value of Q and then calculate the value of P based on Q.

### Step 1: Calculate Q
We know that Q is 70% more than 640.

1. **Calculate 70% of 640**:
\[ 70\% \text{ of } 640 = \frac{70}{100} \times 640 = 0.7 \times 640 = 448 \]

2. **Add this to 640 to find Q**:
\[ Q = 640 + 448 = 1088 \]

### Step 2: Calculate P
Now that we have the value of Q, we can find P, which is 50% less than Q.

1. **Calculate 50% of Q**:
\[ 50\% \text{ of } 1088 = \frac{50}{100} \times 1088 = 0.5 \times 1088 = 544 \]

2. **Subtract this from Q to find P**:
\[ P = Q - 50\% \text{ of } Q = 1088 - 544 = 544 \]

### Final Answer
The value of P is **544**.

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