A person's income is increased by 20%. His savings increase by 50%, while his expenditure increases by 10%. What percentage of his original income did he save? / एक व्यक्ति की आय में 20% की वृद्धि होती है। उसकी बचत में 50% तथा व्यय में 10% की वृद्धि होती है। वह अपनी मूल आय का कितने प्रतिशत बचाता था?
Answer and explanation are free to read — no sign-in required. / उत्तर और व्याख्या पढ़ने के लिए साइन-इन आवश्यक नहीं है।
Correct Answer / सही उत्तर
B. 25% / 25%
Explanation / व्याख्या
Let original income = 100 and savings = x. Expenditure = 100 − x. New income = 120, new savings = 1.5x and new expenditure = 1.1(100 − x). Thus 1.5x + 1.1(100 − x) = 120. Solving gives 0.4x = 10, so x = 25. Hence original savings were 25% of income. / मूल आय 100 और बचत x मानें। व्यय = 100 − x। नई आय 120 होगी। समीकरण 1.5x + 1.1(100 − x) = 120 से x = 25 प्राप्त होता है। अतः मूल बचत आय का 25% थी।
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