A person lent out 16000 on simple interest and the same sum on compound interest for 2 years at 12% per annum. Find the ratio of the amounts received by him as interests after 2 years.
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Answered by
16
Answer:
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Step-by-step explanation:
A person lent out Rs. 16000 on simple interest for 2 years at 12.5% interest per annum.
Therefore, the sum will become after 2 years is 16000(1 + \frac{2\times 12.5}{100}) = 2000016000(1+
100
2×12.5
)=20000 Rs.
So, the interest he gets is Rs. (20000 - 16000) = Rs. 4000
If the person lent out the same amount on compound interest for 2 years at 12.5 % interest per annum, then the sum will become after 2 years is
16000(1 + \frac{12.5}{100} )^{2} = 2025016000(1+
100
12.5
)
2
=20250 Rs.
Therefore, the interest he gets is Rs. (20250 - 16000) = Rs. 4250
Therefore, the ratio of interest amount in simple interest and compound interest will be 4000 : 4250 = 16 : 17 (Answer)
drayshamonica2019:
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Answered by
9
Answer:
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