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Ram Lal invested a certain amount for three years, under compound interest compounded annually and received Rs.17820. If he had invested the same amount for six years at the same rate of interest compounded annually, he would have received Rs.49410. What amount (in Rs.) did he invest?


Options:
A .   7520
B .   4425
C .   7892
D .   6427
E .   6500
Answer: Option D
:
D

Let the sum be P and the interest rate be r.


Then after ‘n’ years A=P(1+r100)n=PRn  where  R=1+r100


Now, 17820=PR3  ,  49410=PR6
R3=4941017820


So,  P=17820×1782049410 =Rs.6427



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