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A sum of money amount to Rs. 6690 after 3 years and to Rs. 10,035 after 6 years on compound interest . Find the sum .


Options:
A .  Rs. 4460
B .  Rs. 4475
C .  Rs. 4490
D .  Rs. 4500
Answer: Option A

Let the sum be Rs.  P,  Then,

`P(1 + R/100)^3 = 6690`................................(i)

and ` P(1 + R/100)^6   ` ....................................(ii)

On dividing , we get` (1 + r/100)^3 =    10035/6690 =  3/2`

Substituting this value in (i) , we get :

`P xx 3/2 = 6690`

or` P = (6690 xx 2/3) = 4460`

Hence , the sum is Rs. 4460.




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