The income of A is 20% less than the income of B and the income of C is 70% of the sum of incomes of A and B. The income of D is 25% more than the income of C. If the difference between the incomes of B and D is ₹23000, then what is the income(in ₹) of A?
Answer & explanation
Correct answer: option 3
The income of A is 20% less than the income of B
so , A : B = 4 : 5
Let income of A = 40 & Income of B = 50
The income of C is 70% of the sum of incomes of A and B = 70% of 90
= \(\frac{7}{10}\) × 90 = 63
The income of D is 25% more than the income of C = 63 × \(\frac{5}{4}\)
= \(\frac{315}{4}\)
A : B : C : D = 4x : 5x : 63 : \(\frac{315}{4}\)
A : B : C : D = 160 : 200 : 252 : 315
The difference between the income of B & D = (315 - 200 )x = 115x
According to question ,
115x = 23000
x = 200
Income of A = 160 × 200 = 32000