The ratio of expenditure of A,B and C is 16:12:9.Their total income is Rs.1530.Find the shares of B's income if they save 20%,25% and 40% of the income.

Dear Student,

Income is either saved or spent.Thus, Income = Expenditure + Saving Income - Saving = ExpenditureLet the incomes of A, B and C be x, y and z respectively.Then, x + y + z = Rs. 1,530Now, A, B and C save 20%, 25% and 40% of their incomes respectively.Therefore, A saves = 20% of x = 20x100 = x5; B saves = 25% of y = 25y100 = y4 and C saves = 40% of z = 40z100 = 2z5 Hence, A's expenditure = x - x5 = 4x5; B's expenditure = y - y4 = 3y4 and C's expenditure = z - 2z5 = 3z5Expenditure of A:B:C = 16:12:9Let the expenditures of A, B and C be 16k, 12k and 9k respectively.So, 4x5 = 16k, 3y4 = 12k and 3z5 = 9k x = 20k, y = 16k and z = 15k.Now, x + y + z = 1530 20k + 16k + 15k = 1530 51k = 1530 k = 30Thus, B's income = y = 16k = 16 × 30 = Rs. 480

Hope this information clears your doubts about topic.

‚ÄčIf you have any more doubts, please ask here on the forum and our experts will help you out as soon as possible.

Regards

  • 0
What are you looking for?