Question

A person invests money at the rate of 10%, 12% and 15% of the simple interest for 6 years 10 years and 12 years respectively. If each scheme provides equal funding, what will be the ratio of these principal values? (1) 77: 58: 44 (2) 67: 55: 38 (3) 77: 56: 44 (4) 76: 56: 45

Answer 1

$\fontsize{18}{10}{\textup{\textbf{x:y:z=77:56:44}}}$

Step-by-step explanation:

Let the principal values be x, y, z

So according to the condition

x+x*10*6/100=y+y*12*10/100=z+z*15*12/100

=>160x=220y=280z

=>8x=11y=14z

=>x/(11*14)=y/(8*14)=z/(8*11)

=>x/154=y/112=z/88

=>x/77=y/56=z/44

=>x:y:z=77:56:44