Rs 4200 is divided between Anil and Bhavna so that one-fourth of Anil's share equals one-third of Bhavna's share. Find Anil's share (in Rs).

Let the shares be Rs $x$ and Rs $y.x+y=4200$ and $x/4=y/3$, which gives $3x=4y$, so $y=3x/4$. Substituting: $x+3x/4=4200$, that is $7x/4=4200$, so $x=2400$ and $y=1800$. Check: 2400 + 1800 = 4200 and 2400/4 = 600 = 1800/3. 1800 is Bhavna's share; 2100 splits the money equally; 600 is the common value of the two quarters and thirds, not a share.