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Rs.6200 divided into three parts proportional to $\frac{1}{2}:\frac{1}{3}:\frac{1}{5}$, are respectively

Rs.6200 divided into three parts proportional to $\frac{1}{2}:\frac{1}{3}:\frac{1}{5}$, are respectively
1). Rs.3000, Rs.2000, Rs.1200
2). Rs.3500, Rs.1500, Rs.1200
3). Rs.2500, Rs.2000, Rs.1700
4). Rs.2200, Rs.3000, Rs.1000

This Question has 2 answers.

option 1 : Rs.3000, Rs.2000, Rs.1200 is correct

ratio = $\frac{1}{2}$:$\frac{1}{3}$:$\frac{1}{5}$

=$\frac{1}{2}\times30$:$\frac{1}{3}\times30$:$\frac{1}{5}\times30$ = 15:10:6

=Sum of the ratios
= 15 + 10 + 6 = 31

=First part = rs$\frac{15}{31}\times6200$ = rs 3000

=Second part = rs$\frac{10}{31}\times6200$ = rs 2000

=Third part = rs$\frac{6}{31}\times6200$ = rs 1200

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