The ratio of the incomes of A and B is 3 : 5, whereas the ratio of their expenditures is 4 : 7 respectively. If A and B save ₹16,000 and ₹26,000, respectively, then what is the difference (in ₹) between their expenditures?

6000

                     A  :  B 

Incomes         3  :  5

Expenditures   4 :  7

             ___________

Savings = Income - Expenditure 

                -16000  -26000

$\frac{3R\;-\;16000}{5R\;-\;26000} = \frac{4}{7}$

Using cross - multiplication method, 

⇒ 21R - 20R = (-26000 x 4) - (-16000 x 7)

⇒          R     = 8000

Income of A = 3 x 8000 = ₹24,000

               B = 5 x 8000 = ₹40,000

Expenditure of A = 24000 - 16000 = â‚¹8000

                      B = 40000 - 26000 = â‚¹14000

Difference in the expenditures of A and B = â‚¹6000