Practicing Success
Soham’s initial expenditure and savings were in the ratio 5: 1. His income increases by 25%, while his savings increase by 20%. If Soham’s current expenditure is ₹4,347, what was his initial income? |
₹4,130 ₹4,140 ₹4,150 ₹4,160 |
₹4,140 |
25% = \(\frac{1}{4}\) & 20% = \(\frac{1}{5}\) Ratio of , Expenditure : Saving 5 : 1 let Expenditure = 50x , Saving = 10x Income = 50x + 10x = 60x New Income = 60x + \(\frac{1}{4}\) × 60x = 60x + 15x = 75x New saving = 10x + \(\frac{1}{5}\) × 10x = 12x Expenditure = 75x - 12x = 63x ATQ , 63x = 4347 x = 69 Initial income = 60x = 60 × 69 = 4140 |