14. Find the amount which Ram will get on Rs. 4096, if he gave it for 18 months at 12% per
annum, interest being compounded half yearly?
Answers
Answer:Given:
Principal (P)= ₹ 4096
Rate of interest(R) = 12 1/2% p.a = 25/2 %p.a
Time period = 18 months = 18 /12= 3/2 years
A = P(1 + R/200)^2n [for half yearly]
A = 4096 (1 + 25/ 2 x200)^3/2 x2
A = 4096 (1 + 25/400)^3
=4096(1 + 1/16)
= 4096(17/16)^3
= 4096( (17 x17 x 17 ) / (16 x 16 x16))
=4096( (17 x17 x 17 ) / (256 x16))
= 4096( (17 x17 x 17 ) / (4056))
= 17 x17 x17 = 289 x 17
A=₹ 4913
Hence Ram will get ₹ 4913 after 18 months.
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Answer:
Given:
Principal (P)= ₹ 409
Rate of interest(R) = 12 1/2% p.a = 25/2 %p.a
Time period = 18 months = 18 /12= 3/2 years
A = P(1 + R/200)^2n [for half yearly]
A = 4096 (1 + 25/ 2 x200)^3/2 x2
A = 4096 (1 + 25/400)^3
=4096(1 + 1/16)
= 4096(17/16)^3
= 4096( (17 x17 x 17 ) / (16 x 16 x16))
=4096( (17 x17 x 17 ) / (256 x16))
= 4096( (17 x17 x 17 ) / (4056))
= 17 x17 x17 = 289 x 17
A=₹ 4913
Hence Ram will get ₹ 4913 after 18 months.
hope it hepls