The ratio of incomes of two persons is 8 : 5 and the ratio of their expenditure i 2 : 1. If each of them manages to save ₹ 1000 per month, find the difference of their monthly income

Let the incomes of two persons be 8x and 5x and their expenditure be 2y and y , respectively.
∵ Saving = Income - Expenditure
∴ 1000 = 8x - 2y ...(i)
and 1000 = 5x - y ...(ii)
On multiplying Eq. (ii) by 2 and subtracting from Eq. . (i) , we get
8x - 2y = 1000
10x - 2y = 2000
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-2x = -1000
∴ x = 500
∴ Monthly incomes are
8x = ₹ 4000 and
5x = ₹ 2500
∴ Difference = ₹ 4000 - 2500 = ₹ 1500