a) Ham invested a certain amount of money for 3 years at 8% per annum. The simple
interest eamed by him is half the compound interest on 4,000 for 2 years at 10% per
annum. Find the simple interest earned by Ram
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Step-by-step explanation:
Principal for the first year = Rs. 20,000, rate = 5%, T = 1 year.
Interest for the first year =
100
20,000×1×5
=Rs.1,000 (using simple interest formula I=
100
P×T
1
×R
).
Principal for the second year = Rs. 20,000+1,000=Rs. 21,000.
Interest for the second year =
100
21,000×5
=Rs.1,050
Amount after 2 years = Rs. 21000 + 1050 = Rs. 22,050.
Compound interest = amount - principal = Rs. 22,050 - Rs. 20,000 = Rs. 2,050.
Hence the compound interest after 2 years is Rs. 2,050.
Simple interest on Rs. 20,000 for 2 years at the rate of 5% is
I=
100
20000×2×5
=Rs.2,000.
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