Aptitude Question ID : 94240
6200 Rs. divided into three parts proportional to $latex \frac{1}{2} : \frac{1}{3} : \frac{1}{5}&s=1$ are respectively :
[A]2200 Rs., 3000 Rs., 1000 Rs.
[B]3000 Rs., 2000 Rs., 1200 Rs.
[C]3500 Rs., 1500 Rs., 1200 Rs.
[D]2500 Rs., 2000 Rs., 1700 Rs.
3000 Rs., 2000 Rs., 1200 Rs.
$latex Ratio = \frac{1}{2} : \frac{1}{3} : \frac{1}{5}&s=1$
$latex = \frac{1}{2}\times 30 : \frac{1}{3}\times 30 : \frac{1}{5}\times 30&s=1$
$latex = 15 : 10 : 6$
Sum of the ratios
$latex = 15+10+6= 31$
$latex \therefore First Part = \frac{15}{31}\times 6200 = 3000Rs. &s=1$
$latex Second Part = \frac{10}{31}\times 6200 = 2000Rs. &s=1$
$latex Third Part = \frac{6}{31}\times 6200 = 1200Rs. &s=1$
Hence option [B] is correct answer.