Find the compound interest on rs. 5000 for 1 year at 8% per annum, compounded half-yearly.

Question

Find the compound interest on Rs. 5000 for 1 year at 8% per annum, compounded half-yearly.

5000 रुपये पर 1 वर्ष के लिए 8% प्रति वर्ष की दर से चक्रवृद्धि ब्याज ज्ञात कीजिए, जो अर्ध-वार्षिक रूप से संयोजित है।

Answer B.

B.Rate of interest = 8% per annum = 4% per half-year Time = 1 year = 2 half-years Principal = 5000 Rs Interest for the first half-year = P*r*t/100 = 5000*4*1/100 = 200 Rs Total Amount after the first half-year = (5000 + 200) = 5200 Rs Principal for the second half-year = 5200 Rs Interest for the second half-year = P*r*t/100 = 5200*4*1/100 = 208 Rs Total Amount after the second half-year = (5200 + 208) = 5408 Rs Therefore, compound interest = (5408 - 5000) = 408 Rs So the correct answer is option B.

B.ब्याज दर = 8% प्रति वर्ष = 4% प्रति छमाही समय = 1 वर्ष = 2 छमाही मूलधन = 5000 रुपये पहली छमाही के लिए ब्याज = P*r*t/100 = 5000*4*1/100 = 200 रुपये पहली छमाही के बाद कुल राशि = (5000 + 200) = 5200 रुपये दूसरी छमाही के लिए मूलधन = 5200 रु दूसरी छमाही के लिए ब्याज = P*r*t/100 = 5200*4*1/100 = 208 रुपये दूसरी छमाही के बाद कुल राशि = (5200 + 208) = 5408 रुपये अतः चक्रवृद्धि ब्याज = (5408 - 5000) = 408 रुपये इसलिए सही उत्तर विकल्प B है।

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Answer B.

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Answer A.

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Tick the correct answer in each of the following: The compound interest on Rs 5000 at 8% per annum for 2 years, compounded annually, is a Rs 800 b Rs 825 c 832 d 850

Solution

Principal (P) = Rs. 5000Rate (R) =8% p.a.Period (n) = 2 yearsAmount (A) = P (1+R100)n=Rs. 5000(1+8100)2=Rs. 5000×2725×2725=Rs.5832∴C.I. = A - P = Rs. 5832 - 5000=Rs.832 (c)

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