Question
Quantity I: The ratio of expenditure of A, B and C is
16 : 12 : 9 and their total income is Rs. 1,530. Find the Share of B’s income if they save 20%, 25% and 40% of their income? Quantity II: The ratio of income of A, B and C is 3 : 7 : 4 and the ratio of their expenditure is 4 : 3 : 5 respectively. If A saves Rs. 300 out of Rs. 2,400, find the savings of C? In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis.Solution
Quantity I : A : B : C Expense 16 (80% of Income) : 12(75% of income) : 9(60% of income) Income 20 : 16 : 15 So Total income = 20 + 16 + 15 = 51 units =1530 So 1 unit = 30 So income of B = 16 units = 480 Quantity II : Income of A : B : C = 3 : 7 :4 Income of A is Rs. 2400 So we will multiply this ratio by 800 , Hence Income of A : B : C = 2400 : 5600 : 3200 As saving of A is Rs. 300 So expense of A = 2400 - 300 = Rs. 2100 Expense of A: B : C = 4 : 3 : 5 So to make 4 to 2100 , we have to multiply this ratio by 525, Hence expense of A : B :C = 2100: 1575 : 2625 So finally savings of C = 3200 - 2625 = Rs. 575 Hence Quantity I < Quantity II
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