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  1. There is 40% increase in an amount in 8 years at simple interest. What will be the compound interest (in rupees) of Rs 30000 after 2 years at the same rate ?
    1. 6150
    2. 7687.5
    3. 4612.5
    4. 3075
Correct Option: D

According to the question,
If principal = Rs. 100 then interest = Rs. 40.

∴  Rate =
S.I. × 100
Principal × Time

Rate =
40 × 100
= 5% per annum
100 × 8

Case II.
∴ A = P1 +
R
T
100

A = 300001 +
5
2
100

A = 300001 +
1
2
20

A = 30000
20 + 1
2
20

A = 30000 ×
21
×
21
= Rs. 33075
2020

∴ C. I. = Amount - Principal
∴ C. I. = Rs. (33075 – 30000) = Rs. 3075



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