Question

4. A person invests money in three
different schemes for 6 years, 10
years and 12 years at 10 per cent,
12 per cent and 15 per cent sim-
ple interest respectively. At the
completion of each scheme, he
gets the same interest. The ratio
of his investment is
(1) 6:3:2 (2) 2:3:4
(3) 3:4:6 (4) 3:4:2​

Answer 1

Answer:

6:3:2

Step-by-step explanation:

Let the three amounts be Rs. x, Rs. y and Rs. z,

Then,

x×10×6/100 = y×12×10/100 = z×15×12/100

⇒60x=120y=180z

⇒x=2y=3z=k(say)

⇒x=k,y=k/2,   z=k/3

⇒x:y:z  =  k:k2:k3

⇒x:y:z=   1:12:13  

=6:3:2