Word Problem 6
Problem 6: Divide Rs 290 among A, B and C persons, so that 1/2 of A’s share may be equal to 2/3 of B’s share, and 2/3 of B’s share may be equal to 1/4 of C’s share.
Solution:
Amount to be divided = 290 Rs
1st-Condition of division – half of A’s share should be equale to two third of B’s share;
2nd-Condition of division – two third of B’s share should be equale to one fourth of C’s share;
Also the amount divided to A,B and C should be 290 in total;
From 1st condition we can write;
From 2nd condition we can write;
Put values of A and C from eqs 2 & 3 in eq 1;
Put this value of B in eq 2 and eq 3
and