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9. The total annual income of A, B and C is7.98 Lakh. They spend 90%, 87 % and 80%respectively of their incomes. If their annual savings are in the ratio of 12:17:16, find annual(Sagar, 2008) [Ans.äš79,800;äš99,750; 1,59,600]saving of each |
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Answer» Savings ratio = 12 : 17: 16Their savings are 12x, 17x and 16x respectively.It is given that A spends 90 %, B spends 87 1/2% and C spends 80 % of his income.So, their savings are,A's savings = 100 - 90A's savings = 10 %B's savings = 100 - 175/2B's savings = 25/2 %C's savings = 100 - 80C's savings = 20 % A's savings = 12x⇒ 10% of A's salary = 12x⇒ 25/100× A's salary = 12x⇒ A's salary = (100/10)*12x⇒ A's salsry = 120x B's savings = 17x⇒ 25/2% of B's salary = 17x⇒ 12.5/100× B's salary = 17x⇒ B's salary = (100/12.5)*17x⇒ B's salary = 136x C's savings = 16x⇒ 20 % of C's salary = 16x⇒ 20/100× C's salary = 16x⇒ C's salary = (100/20)*16x⇒ C's salary = 80x Total salary of A, B and C = Rs. 1800So,⇒ 120x + 136x + 80x = 7.9 L⇒ 336x = 7.9 L⇒ x = 2351 Salary of A = 120*2351A's salary = Rs. 282120B's salary = 136*2351B's salary = Rs. 319736C's salary = 80*2351C's salary = Rs. 188080 Now, savings of A, B and CA's savings = 10 % of 282120= (282120*10)/100A's savings = Rs. 28212B's savings = 12.5 % of 319736= (319736*12.5)/100B's savings = Rs. 39967C's savings = 20 % of 188080= (188080*20)/100c's savings = Rs. 37616 |
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