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After reconstitution, A’s new share is \(\frac{7}{12}\), while his old share was \(\frac{1}{3}\). What is A’s gaining share?पुनर्गठन के बाद A का नया लाभांश \(\frac{7}{12}\) है, जबकि पुनर्गठन से पहले उसका लाभांश \(\frac{1}{3}\) था। A का लाभ-प्राप्ति हिस्सा कितना होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\frac{1}{4}\)\(\frac{1}{4}\)
Gaining share = New share − Old share. Since \(\frac{1}{3}=\frac{4}{12}\), A’s gaining share is \(\frac{7}{12}-\frac{4}{12}=\frac{3}{12}=\frac{1}{4}\). \(\frac{7}{12}\) is only the new share, not the gain. Exam tip: Convert fractions to a common denominator before subtracting.लाभ-प्राप्ति हिस्सा = नया हिस्सा − पुराना हिस्सा। \(\frac{1}{3}=\frac{4}{12}\), इसलिए A का लाभ-प्राप्ति हिस्सा \(\frac{7}{12}-\frac{4}{12}=\frac{3}{12}=\frac{1}{4}\) है। \(\frac{7}{12}\) केवल नया हिस्सा है, लाभ-प्राप्ति हिस्सा नहीं। परीक्षा-टिप: घटाने से पहले दोनों भिन्नों का हर समान करें।
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