The income of A and B are in the ratio of 15 : 28 and their expenditure ratio is 5:4 and their saving ratio is 1 : 2. If B saves Rs. 40000 then find the income of A?
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Step-by-step explanation:
Let the income of A and B be 15x and 28x.
savings of B is ₹40,000 and their ratios are 1:2
So 1:2 = x : 40000
1/2 = x/40,000
x = 40,000/2 = 20,000
saving + expenditure = Income
expenditure = income - saving
5 : 4 = (15x – 20000) : (28x – 40000)
5/4 = 15x –20000/ 28x –40000
( do cross multiplication)
5(28x–40000)=4(15x–20000)
140x – 2,00,000 = 60x – 80,000
140x –60x = 2,00,000 – 80,000
80x = 1,20,000
x = 1500
substitute this in A and B
A = 15x = 15 × 1500 = 22,500
B = 28x = 28 × 1500 = 42,000
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