Question

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.​

Answer 1

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)

Answer 2

Answer:

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