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? |
₹12,000 ₹18,000 ₹15,000 ₹10,000 |
₹15,000 |
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.
|