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Question

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis.

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?

A Quantity I > Quantity II Correct Answer Incorrect Answer
B Quantity I < Quantity II Correct Answer Incorrect Answer
C Quantity I ≥ Quantity II Correct Answer Incorrect Answer
D Quantity I ≤ Quantity II Correct Answer Incorrect Answer
E Quantity I = Quantity II or No relation can be established Correct Answer Incorrect Answer

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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