Answer:
29400
Step-by-step explanation:
If the income of Ruchi and Rajan are in the ratio of (4:7) and Ruchi earns (16800) per month, we can find Rajan's monthly earnings by setting up a proportion:[\frac{\text{Ruchi's earnings}}{\text{Rajan's earnings}} = \frac{4}{7}]Given that Ruchi earns (16800) per month, we can substitute this value into the proportion:[\frac{16800}{\text{Rajan's earnings}} = \frac{4}{7}]To solve for Rajan's earnings, cross multiply:[4 \times \text{Rajan's earnings} = 16800 \times 7][4 \times \text{Rajan's earnings} = 117600]Now, divide both sides by (4) to isolate (\text{Rajan's earnings}):[\text{Rajan's earnings} = \frac{117600}{4} = 29400]So, Rajan earns (29400) per month.
