Question

Divide Rs 1400 into three parts such that the first part is 2/3 of the second part and the ratio between the second and the third part 4:5. Find each part

Answer 1

the ratio of 2nd &3rd part=4:5
common multiple of these ratio=x
2nd part=4x
3rd part=5x
for 1st condition
1st part=2/3×4x=8x/3
for 2nd condition
1st+2nd+3rd=1400
8x/3+4x+5x=1400
solving this equation
1st part=320
2nd part=480
3rd part=600

Answer 2

This must be divided in 8:12:15 and the answer is 320 480 600