Divide ₹ 6,720 in the ratio 5 : 3.

Given,

Let ₹ 6,720 be divided in two parts A and B.

A = 5a and B = 3a

To find A's part,

$\Rightarrow \dfrac{5a}{5a + 3a} \times 6,720 \\[1em] \Rightarrow \dfrac{5a}{8a} \times 6,720 \\[1em] \Rightarrow \dfrac{5}{8} \times 6,720 \\[1em] \Rightarrow ₹ 4,200.$

To find B's part,

$\Rightarrow \dfrac{3a}{5a + 3a} \times 6,720 \\[1em] \Rightarrow \dfrac{3a}{8a} \times 6,720 \\[1em] \Rightarrow \dfrac{3}{8} \times 6,720 \\[1em] \Rightarrow ₹ 2,520$

Hence, ₹ 6,720 can be divided into ₹ 4,200 and ₹ 2,520.