SSC CGL Tier-1 practice question
On a sum of money, when invested for 2 years, compound interest and simple interest are `300 and `250, respectively. For both simple and compound interests the rate of interest per annum is the same, and for compound interest, interest is compounded annually. Find the rate of interest per annum
From a SSC CGL Tier-1 General Awareness practice set · General Awareness
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Correct answer: (C) 40%
SI for 2 years = ₹250, so P×r×2/100 = 250 → Pr = 12500. CI − SI for 2 years = P(r/100)2 = ₹50 → Pr²/10000 = 50 → Pr² = 500000. Dividing: (Pr²)/(Pr) = r = 500000/12500 = 40%.
हिंदी में प्रश्न
किसी धनराशि पर, 2 वर्षों के लिए निवेश करने पर, चक्रवृद्धि ब्याज और साधारण ब्याज क्रमशः ₹300 और ₹250 हैं। साधारण और चक्रवृद्धि ब्याज दोनों के लिए वार्षिक ब्याज दर समान है, और चक्रवृद्धि ब्याज के लिए, ब्याज वार्षिक रूप से संयोजित होता है। वार्षिक ब्याज दर ज्ञात करें।
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सही उत्तर: (C) 40%
2 वर्षों के लिए SI = ₹250, अतः P×r×2/100 = 250 → Pr = 12500। 2 वर्षों के लिए CI − SI = P(r/100)² = ₹50 → Pr²/10000 = 50 → Pr² = 500000। भाग देने पर: (Pr²)/(Pr) = r = 500000/12500 = 40%।
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