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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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