If 1.5P = 0.04Q, then what is the value of (Q − P) / (Q + P)?
2024
If 1.5P = 0.04Q, then what is the value of (Q − P) / (Q + P)?
- A.
73/77
- B.
77/33
- C.
22/75
- D.
More than one of the above
- E.
None of the above
Attempted by 14 students.
Show answer & explanation
Correct answer: A
Given equation: 1.5P = 0.04Q
Step 1: Express Q in terms of P.
Q = (1.5 / 0.04) * P
Q = (150 / 4) * P
Q = 37.5P
Step 2: Substitute Q = 37.5P into the expression (Q - P) / (Q + P).
(37.5P - P) / (37.5P + P)
= 36.5P / 38.5P
= 36.5 / 38.5
Multiply numerator and denominator by 2 to remove decimals:
= 73 / 77
The value is 73/77.
हिन्दी उत्तर:
दिया गया समीकरण: 1.5P = 0.04Q
चरण 1: P के पदों में Q व्यक्त करें।
Q = (1.5 / 0.04) * P
Q = (150 / 4) * P
Q = 37.5P
चरण 2: व्यंजक (Q - P) / (Q + P) में Q = 37.5P प्रतिस्थापित करें।
(37.5P - P) / (37.5P + P)
= 36.5P / 38.5P
= 36.5 / 38.5
दशमलव हटाने के लिए अंश और हर को 2 से गुणा करें:
= 73 / 77
मान 73/77 है।
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