SBI Clerk Prelims practice question
A sum of money was invested for 2 years. Compound interest was charged at 10% per annum for the first year and at 20% per annum for the second year (each year's interest being calculated on the amount at the start of that year). If the total compound interest earned over the 2 years is Rs. 3,200, find the sum invested.
From a SBI Clerk Prelims Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (B) Rs. 10,000
Amount after 2 years = P × 1.1 × 1.2 = 1.32P. So CI = 1.32P - P = 0.32P. Given 0.32P = 3200, so P = 3200/0.32 = Rs. 10,000.
हिंदी में प्रश्न
कोई धनराशि 2 वर्षों के लिए निवेशित की गई। पहले वर्ष के लिए 10% वार्षिक और दूसरे वर्ष के लिए 20% वार्षिक दर से चक्रवृद्धि ब्याज लगाया गया (प्रत्येक वर्ष का ब्याज उस वर्ष के आरंभ की धनराशि पर परिकलित किया गया)। यदि 2 वर्षों में अर्जित कुल चक्रवृद्धि ब्याज ₹3,200 है, तो निवेशित धनराशि ज्ञात कीजिए।
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सही उत्तर: (B) ₹10,000
2 वर्षों बाद मिश्रधन = P × 1.1 × 1.2 = 1.32P। अतः चक्रवृद्धि ब्याज = 1.32P - P = 0.32P। दिया गया है कि 0.32P = 3200, अतः P = 3200/0.32 = ₹10,000।
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