SSC CGL Tier-II practice question
A sum of ₹50,125 becomes ₹86,616 in 3 years at compound interest, compounded annually. What is the rate of interest per annum?
From a SSC CGL Tier-II Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (A) 20%
(1 + r/100)3 = A/P = ₹86,616/₹50,125 = 216/125 = (6/5)3. So 1 + r/100 = 6/5 ⇒ r = 1/5 × 100 = 20%. (The SI formula gives 24.27%, which is wrong for CI.)
हिंदी में प्रश्न
₹50,125 की राशि चक्रवृद्धि ब्याज पर (वार्षिक संयोजन) 3 वर्ष में ₹86,616 हो जाती है। वार्षिक ब्याज दर क्या है?
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (A) 20%
(1 + r/100)3 = A/P = ₹86,616/₹50,125 = 216/125 = (6/5)3। अतः 1 + r/100 = 6/5 ⇒ r = 1/5 × 100 = 20%। (साधारण ब्याज सूत्र से 24.27% आता है, जो चक्रवृद्धि के लिए गलत है।)
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