RPF Constable practice question
A sum of money lent at compound interest, compounded annually, amounts to ₹4,840 at the end of the first year and to ₹5,324 at the end of the second year. Find the compound interest earned over the full 2 years.
From a RPF Constable Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (A) ₹924
Rate: 5324 / 4840 = 1.10, so r = 10%. Since the amount after year 1 is 4,840, the principal P = 4840 / 1.10 = ₹4,400. Total compound interest over 2 years = final amount − principal = 5324 − 4400 = ₹924. Check: P(1.10) = 4400 × 1.10 = ₹4,840 (matches year-1 amount); 4840 × 1.10 = ₹5,324 (matches year-2 amount). So CI for 2 years = ₹924.
हिंदी में प्रश्न
वार्षिक रूप से संयोजित चक्रवृद्धि ब्याज पर उधार दी गई एक राशि पहले वर्ष के अंत में ₹4,840 और दूसरे वर्ष के अंत में ₹5,324 हो जाती है। पूरे 2 वर्षों में अर्जित चक्रवृद्धि ब्याज ज्ञात कीजिए।
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सही उत्तर: (A) ₹924
दर: 5324 / 4840 = 1.10, अतः r = 10%। चूँकि पहले वर्ष के बाद राशि ₹4,840 है, मूलधन P = 4840 / 1.10 = ₹4,400। 2 वर्षों का कुल चक्रवृद्धि ब्याज = अंतिम राशि − मूलधन = 5324 − 4400 = ₹924। जाँच: P(1.10) = 4400 × 1.10 = ₹4,840 (पहले वर्ष की राशि से मेल खाता है); 4840 × 1.10 = ₹5,324 (दूसरे वर्ष की राशि से मेल खाता है)। अतः 2 वर्षों का चक्रवृद्धि ब्याज ₹924 है।
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