Compound Interest Practice Set – Success Khan math-ps-13-1 questions with answers and explanation.
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किसी शहर की जनसंख्या में वर्ष 1996 में 10% की वृद्धि हुई लेकिन वर्ष 1997 में विभ्रिन्न प्राकृतिक आपदाओं के कारण उसमें 5% की कमी हो गयी। वर्ष 1997 के अन्त की जनसंख्या 1996 के शुरू की जनसंख्या का कितना प्रतिशत है ? — The population of a city increased by 10% in 1996, but due to natural calamities, in 1997, it decreased by 5%. What is the percentage of population of the end of 1997 to the initial population of 1996?
Answer: Option D Explanation: माना कि 1996 के शुरू कि जनसंख्या x तथा 1997 के अंत की जनसंख्या y है । प्रश्नानुसार y = ?(1 + 10⁄100)(1 – 5⁄100) = ? × 11⁄10 × 19⁄20 या, y/? = 209⁄200 अभीष्ट प्रतिशत = 209⁄200 × 100 = 104.5 %
A ने B को 62500 रु. 2 वर्षों के लिए 8% वार्षिक चक्रवृद्धि ब्याज की दर से ऋण दिया । समय की समाप्ति पर B, A को कितने रुपये वापस करेगा? — B gets a loan of Rs 62500 at 8% annual compound interest rate for 2 years from A. The Amount will B return to A at the end of time?
श्याम ने अमित से 6250 रु. साधारण ब्याज पर 12% दर से 2 वर्षों के लिए उधार लिया, लेकिन उसने उसी राशि को सुमन को उसी दर तथा समय से चक्रवृद्धि ब्याज पर उधार दे दिया। उसे कुल कितने रुपये की आमदनी हुई ? — Shyam Borrowed Rs 6,250 from Amit on a simple interest rate of 12% for 2 years, but he lent Suman to the same amount on compound interest at the same rate and time. How much money did he earn?
Answer: Option A Explanation:इस प्रश्न में चक्रवृद्धि ब्याज तथा साधारण ब्याज का अंतर ही अभीष्ट उत्तर है । अत: 6250 = d × 100 × 100⁄12 × 12 या, d = 6250 × 12 × 12⁄100 × 100 = 90 रु.
एक कम्पनी ने अपने एक निवेशकर्ता द्वारा निवेशित पूँजी में प्रतिवर्ष 6% की ऋणात्मक वृद्धि करता है। दो वर्षों के पश्चात् उस निवेशकर्ता की पूँजी, उसकी मूल पूँजी का कितना प्रतिशत हो जाएगी ? — A company makes a negative growth of 6% per annum in the capital invested by one of its investors. After two years, what is the percentage of the capital of that investor to its original capital?
Answer: Option A Explanation:माना की पूर्व पूंजी तथा अंतिम पूंजी है । y = x(1 – 6⁄100)2 या, y/x – (47⁄50)2 = 2209⁄2500 अत: अभीष्ट उत्तर = 2209⁄2500 × 100 = 88.36 %
एक सेठ ने 4000 रु. 8% वार्षिक दर से 2 वर्षों के लिए साधारण ब्याज पर कर्ज दिया। उसने उतनी ही राशि उतने ही समय के लिए उसी दर से चक्रवृद्धि ब्याज पर किसी अन्य व्यक्ति को कर्ज दिया। उसे इस व्यक्ति से पहले व्यक्ति की अपेक्षा कितने रुपये अधिक प्राप्त होगा ? — One trader lent Rs. 4000 on simple interest at 8% annual rate for 2 years. He gave the same amount of loan to someone else at the same rate for the same time on compound interest. How much will he receive more from the second person?
512 रु. की राशि किसी निश्चित दर से 3 वर्षों में 1000 रु. हो जाती है । चक्रवृद्धि ब्याज की वार्षिक दर क्या है ? — The amount of Rs. 512 will become Rs. 1000 in 3 years at a fixed rate. What is the annual rate of compound interest?
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