Question

Divide divide rupees 1775 into 3 parts such that the second part is 4.5 of the first and the ratio between the first and the third is 4:7

Answer 1

Let the divided parts be a,b and c.

a+b+c=1775

b=4.5a=(9/2)a

a:c=4:7 ==> c=(7/4)a

a+b+c=1775

a+(9/2)a+(7/4)a=1775

4a+18a+7a=7100

a=7100/29=244.83

b=31950/29=1101.72

c=12425/29=428.45

So the three parts are 244.83, 1101.72 and 428.45