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If P is 50% less than Q and Q is 70% mor...

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

A

768

B

544

C

618

D

448

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to follow the relationships given in the question. **Step 1: Calculate the value of Q.** We know that Q is 70% more than 640. To find Q, we can express this mathematically: \[ Q = 640 + 0.70 \times 640 \] Calculating the 70% of 640: \[ 0.70 \times 640 = 448 \] Now, adding this to 640: \[ Q = 640 + 448 = 1088 \] **Step 2: Calculate the value of P.** According to the problem, P is 50% less than Q. This means: \[ P = Q - 0.50 \times Q \] This can also be expressed as: \[ P = 0.50 \times Q \] Substituting the value of Q we found: \[ P = 0.50 \times 1088 \] Calculating this gives: \[ P = 544 \] **Final Answer:** The value of P is 544. ---
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