Find the compound interest and the total amount after 4 years and 6 months if the interest is compounded annually.
Principal = ₹1{,}00{,}000=₹1,00,000equals, ₹, 1, comma, 00, comma, 000
Rate of interest = 10 \%=10%equals, 10, percent per annum
Total amount ==equals ₹ Compound interest ==equals ₹
Answers
Answer:
1000 ooooo is a conect answer
Given : Principal = = 1,00,000
Rate of interest = 10 %
compounded annually
To Find : compound interest and the total amount after 4 years and 6 months
Solution:
P = 100000
R = 10 %
n = 4 years 6 months
Compounded annually so find amount after complete 4 years
A = P(1 + R/100)ⁿ
=> A = 1,00,000( 1 + 10/100)⁴
=> A = 1,46,410
SI = P * R * T /100
Interest for next 6 months = 1/2 year will be Equivalent to SI
SI = 146410 x 10 x (1/2) /100
=> SI = 7,320.5 Rs
Amount after 4 years 6 months = 1,46,410 + 7,320.5
= 1,53,730.5 Rs
Interest = 1,53,730.5 - 1,00,000 = 53,730.5 Rs
Total amount = 1,53,730.5 Rs
Compound interest = 53,730.5 Rs
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