The monthly salary of a person was ₹50,000. He used to spend on three heads- personal and family expenses (E), taxes (T), philanthropy (P), and rest were his savings. E was 50% of the income, T was 20% of E and P was 15% of T. When his salary got raised by 40%, he maintained the percentage level of E, but T became 30% of E and P became 20% of T. By whatpercentage is the new savings more or less than the earlier savings? (correct up to one decimal place)

Initial salary of person = Rs. 50,000

Total % expenditure = $$50+(\frac{20}{100}\times50)+(\frac{15}{100}\times\frac{20}{100}\times50)$$

= $$50+10+1.5=61.5\%$$

=> % savings initially = $$100-61.5=38.5\%$$

Total savings = $$\frac{38.5}{100}\times50,000=Rs.$$ $$19,250$$

Now, new salary = Rs. 70,000

Similarly, total % expenditure = $$50+(\frac{30}{100}\times50)+(\frac{20}{100}\times\frac{30}{100}\times50)$$

= $$50+15+3=68\%$$

=> % savings initially = $$100-68=32\%$$

Total savings = $$\frac{32}{100}\times70,000=Rs.$$ $$22,400$$

$$\therefore$$ New savings are more by = $$\frac{22400-19250}{19250}\times100\approx16.4\%$$

=> Ans - (A)