The monthly incomes of Ravi and Shiv are in the ratio 1 : 2 and their monthly expenditures are in the ratio 1 : 3. If each saves ₹4,000 per month, then find the monthly income of Shiv.

₹16,000

                        Ravi  :  Shiv 

Income                1   :    2              

Expenditure          1   :   3

____________________________

Savings =       -4000    -4000                 (Income - Expenditure)

$\frac{R - 4000}{2R - 4000} = \frac{1}{3}$

Using cross - multiplication method,

⇒ 3R - 2R = (-4000 x 1) - (-4000 x 3)

⇒      R     = 8000

Monthly income of Shiv = 2R = ₹ 16,000