Question

A sum of money becomes Rs. 6,690
after three years and Rs. 10,035 after
six years on compound interest. The
sum is
a. Rs. 4,400
b. Rs. 4,445
c. Rs. 4,460
d. Rs. 4,520.​

Answer 1

Step-by-step explanation:

Let the principal be P,then

P(1 + R/100)3 = 6690

And P(1 + R/100)6 = 10,035

Now, dividing (ii)by (i),we get

⇒ (1 + R/100)3 = 10035/6690 = 3/2

⇒ P x 3/2 = 6690

∴ P = (6690 x 2/3 ) = Rs. 4460

Answer 2

Let the sum be Rs.P.then

P(1+R/100)^3=6690…(i) and P(1+R/100)^6=10035…(ii)

On dividing,we get (1+R/100)^3=10025/6690=3/2.

Substituting this value in (i),we get:

P*(3/2)=6690 or P=(6690*2/3)=4460

Hence,the sum is rs.4460.

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