2. A sum of Rs.12000 is invested for 3 years compounded at 5%, 10% and 20%
respectively. Find the compound interest at the end of the 3 years.
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Let the original amount = Rs. 100.
In the first year, it increases by 5%.
∴ the amount after 1 yr. = Rs. (100+100×
100
5
)= Rs. 105.
In the second year, it increases by 10%.
∴ the amount after 2 yr. = Rs. (105+105×
100
10
)= Rs. 115.5.
In the third year, it increases by 20%.
∴ the amount after 3 yr. = Rs. (115.5+115.5×
100
20
)= Rs. 138.6. =138.6% of Rs. 100
∴ Rs. 138.6% of the original money = Rs. 16632.
⇒ The original money = Rs.
138.6
16632
×100= Rs. 12000.
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