The sum of incomes of A and B is ₹165000. A spends 70% and B spends 80% of their incomes. If savings of A is 25% more than that of B, then what is the difference between their incomes?
Answer & explanation
Correct answer: option 3
Let Income of A and B are a and b respectively.
30% = \(\frac{3}{10}\) , 20% = \(\frac{1}{5}\) & 25% = \(\frac{1}{4}\)
ATQ,
a × \(\frac{3}{10}\) = b × \(\frac{1}{5}\) × \(\frac{5}{4}\)
\(\frac{a}{b}\) = \(\frac{5}{6}\)
Now , (6+5)R = 165000
11R = 165000
1R = \(\frac{165000}{11}\)
= 15000
So , Difference between income of A and B is 15000.