Compound interest practice question for UPSC. Review the correct answer and explanation, then continue with related practice below.
If a sum of ₹8000 becomes thrice of itself after 8 years at compound interest, then how much will it become after 24 years?
Correct Answerसही उत्तर
D. ₹216000D. ₹216000
Explanationव्याख्या
The amount becomes 3 times in every 8 years.
Since 24 years = 3 × 8 years, there are three periods of 8 years.
After the first 8 years, amount = 8000 × 3 = ₹24000.
After 16 years, amount = 24000 × 3 = ₹72000.
After 24 years, amount = 72000 × 3 = ₹216000.
Alternatively, Amount after 24 years = 8000 × 3^(24
8) = 8000 × 3^3 = 8000 × 27 = ₹216000.
Therefore, the correct answer is ₹216000.
राशि प्रत्येक 8 वर्षों में 3 गुनी हो जाती है। चूँकि 24 वर्ष = 3 × 8 वर्ष, इसलिए 24 वर्षों में 8-8 वर्षों की कुल 3 अवधियाँ होंगी। पहले 8 वर्षों के बाद राशि = 8000 × 3 = ₹24000। 16 वर्षों के बाद राशि = 24000 × 3 = ₹72000। 24 वर्षों के बाद राशि = 72000 × 3 = ₹216000। दूसरे तरीके से, 24 वर्षों के बाद राशि = 8000 × 3^(24/8) = 8000 × 3^3 = 8000 × 27 = ₹216000। अतः सही उत्तर ₹216000 है।
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