Question
At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?
प्रति वर्ष चक्रवृद्धि ब्याज की किस दर से 1200 रुपये की राशि 2 वर्षों में 1348.32 रुपये हो जाएगी?
A.
B.
C.
D.
Answer A.
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A.Let the rate be r% p.a. Principle (P) = 1200 rs Amount (A) = 1348.32 n = 2 year A = P (1+r/100)^n 1348.32 = 1200 (1+r/100)^2 134832/120000 = (1+r/100)^2 11236/10000 = (1+r/100)^2 (106/100)^2 = (1+r/100)^2 (1+r/100)^2 = (106/100)^2 (1+r/100) = (106/100) r/100 = (106/100) - 1 r/100 = 6/100 r = 6% So the rate % is 6. So the correct answer is option A.
A.माना कि दर r% प्रति वर्ष है। मूलधन (P) = 1200 रुपये राशि (A) = 1348.32 n = 2 वर्ष A = P (1+r/100)^n 1348.32 = 1200 (1+r/100)^2 134832/120000 = (1+r/100)^2 11236/10000 = (1+r/100)^2 (106/100)^2 = (1+r/100)^2 (1+r/100)^2 = (106/100)^2 (1+r/100) = (106/100) r/100 = (106/100) - 1 r/100 = 6/100 r = 6% अतः दर 6% है। इसलिए सही उत्तर विकल्प A है।
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