Divide ₹ 11,620 among A, B and C in the ratio 35 : 28 : 20.

Given,

Let A = 35a and B = 28a and C = 20a,

To find A's part,

$\Rightarrow \dfrac{35a}{35a + 28a + 20a} \times 11,620 \\[1em] \Rightarrow \dfrac{35a}{83a} \times 11,620 \\[1em] \Rightarrow \dfrac{35}{83} \times 11,620 \\[1em] \Rightarrow ₹ 4,900.$

To find B's part,

$\Rightarrow \dfrac{28a}{35a + 28a + 20a} \times 11,620 \\[1em] \Rightarrow \dfrac{28a}{83a} \times 11,620 \\[1em] \Rightarrow \dfrac{28}{83} \times 11,620 \\[1em] \Rightarrow ₹ 3,920.$

To find C's part,

$\Rightarrow \dfrac{20a}{35a + 28a + 20a} \times 11,620 \\[1em] \Rightarrow \dfrac{20a}{83a} \times 11,620 \\[1em] \Rightarrow \dfrac{20}{83} \times 11,620 \\[1em] \Rightarrow ₹ 2,800$

Hence, A = ₹ 4,900, B = ₹ 3,920 and C = ₹ 2,800.