In January, if the income of the family is 20% more than the total expenditure, and the income in December is 15% more than the total expenditure in the same month, then by what per cent are the savings in January more than that in December (nearest to an integer)?

Solution

It is given that total expenditure in January = ₹54,000

And, the expenditure is December is 20% more than that in January = 20% of 54000 + 54000 = ₹ 64800

Expenditure on items A,B,C,D,E and F in January

A = 20% of 54000 = 10800

B = 15% of 54000 = 8100

C = 18% of 54000 = 9720

D = 25% of 54000 = 13500

E = 12% of 54000 = 6480

F = 10% of 54000 = 5400

Similarly, Expenditure on items A,B,C,D,E and F In December.

A = 18% of 64800 = 11664

B = 12% of 64800 = 7776

C = 16% of 64800 = 10368

D = 21% of 64800 = 13608

E = 20% of 64800 = 12960

F = 13% of 64800 = 8424

It is given that in January the income of the family is 20% more than the total expenditure.

Thus, income in January = 1.2*54000 = 64800

Savings in January = 64800 - 54000 = 10800

It is also given that in December the income of the family is 15% more than the expenditure.

Thus, the income in December = 1.15*64800 = 74520

Savings in December = 74520 - 64800 = 9720

The savings in January are more than that in December by = 10800 - 9720 = 1080

=> [(1080)/9720]*100 = 11.11%

Approx 11% (Option B is the correct answer)