₹ 8400 are divided among A, B, C and D in such a way that the shares of A and B, B and C as well as C and D… · ABC26GN3083

$A: B=2: 3, B: C=4: 5=\left(4 \times \frac{3}{4}\right):\left(5 \times \frac{3}{4}\right)=3: \frac{15}{4}$, $$\begin{aligned} & C: D=6: 7=\left(6 \times \frac{5}{8}\right):\left(7 \times \frac{5}{8}\right)=\frac{15}{4}: \frac{35}{8} . \\ & A: B: C: D=2: 3: \frac{15}{4}: \frac{35}{8}=16: 24: 30: 35 . \end{aligned}$$ Sum of ratio terms $=(16+24+30+35)=105$. $$\text { ∴ A's share }=₹\left(8400 \times \frac{16}{105}\right)=₹ 1280 .$$