RRB NTPC CBT-1 previous year question
At what annual interest rate will a principal amount of ₹1,000 become ₹1,728 in a period of 1 year and 6 months, assuming that the interest is compounded semi-annually?
Asked in RRB NTPC 2026 — 14 June Shift 3 · Quantitative Aptitude
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Correct answer: (B) 40%
With semi-annual compounding over 3 half-year periods, A/P=(1+r/2)3, so 1728/1000=1.728=(1+r/2)3, giving 1+r/2=1.2, so r/2=0.2 and the annual rate r=40%.
हिंदी में प्रश्न
₹1,000 का Hau किस वार्षिक ब्याज की दर से 1 वर्ष और 6 महीने की अवधि में ₹1,728 हो जाएगा, जबकि ब्याज, अर्ध-वाषिक रूप से संयोजित होता है।
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उत्तर और व्याख्या देखें
सही उत्तर: (B) 32% Fo 4
अर्ध-वार्षिक चक्रवृद्धि के साथ 3 अर्ध-वार्षिक अवधियों में, A/P=(1+r/2)3, इसलिए 1728/1000=1.728=(1+r/2)3, जिससे 1+r/2=1.2, अतः r/2=0.2 और वार्षिक दर r=40% है।
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