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13 May 2022, 07:15
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Difficulty:
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Question Stats:
47% (01:46) correct
53%
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wrong
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For which of the following cases can the ratio of expenditures of A and B be found?
I. The incomes of A and B are in ratio of 3 : 5 and savings of A and B are in ratio of 8 : 11
II. The incomes of A and B are in ratio of 3 : 5 and savings of A and B are in ratio of 1 : 3
III. The incomes of A and B are in ratio of 3 : 5 and savings of A and B are in ratio of 3 : 5
A. None
B. III
C. II and III
D. II
E. All three
Are You Up For the Challenge: 700 Level Questions
I. The incomes of A and B are in ratio of 3 : 5 and savings of A and B are in ratio of 8 : 11
II. The incomes of A and B are in ratio of 3 : 5 and savings of A and B are in ratio of 1 : 3
III. The incomes of A and B are in ratio of 3 : 5 and savings of A and B are in ratio of 3 : 5
A. None
B. III
C. II and III
D. II
E. All three
Are You Up For the Challenge: 700 Level Questions
24 May 2022, 02:24
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We all know, Expenditure = Income - Saving.
We need to find \(\frac{Expenditure Of A}{Expenditure Of B}\)
I. The incomes of A and B are in ratio of 3 : 5 and savings of A and B are in ratio of 8 : 11
Let, Income of A = 3x and Income of B = 5x, and Saving of A = 8y and Saving of B = 11y
Expenditure of A = 3x-8y
Expenditure of B = 5x-11y
Required Ratio = \(\frac{3x-8y}{5x-11y}\)
We do not have an exact value, so expenditure ratio in this case cannot be found.
II. The incomes of A and B are in ratio of 3 : 5 and savings of A and B are in ratio of 1 : 3
Let, Income of A = 3x and Income of B = 5x, and Saving of A = y and Saving of B = 3y
Expenditure of A = 3x-y
Expenditure of B = 5x-3y
Required Ratio = \(\frac{3x-y}{5x-3y}\)
We do not have an exact value, so expenditure ratio in this case cannot be found.
III. The incomes of A and B are in ratio of 3 : 5 and savings of A and B are in ratio of 3 : 5
Let, Income of A = 3x and Income of B = 5x, and Saving of A = 3y and Saving of B = 5y
Expenditure of A = 3x-3y
Expenditure of B = 5x-5y
Required Ratio = \(\frac{3x-3y}{5x-5y}\) = \(\frac{3}{5}\)
We have an exact value, and expenditure ratio in this case = \(\frac{3}{5}\).
Answer: B
We need to find \(\frac{Expenditure Of A}{Expenditure Of B}\)
I. The incomes of A and B are in ratio of 3 : 5 and savings of A and B are in ratio of 8 : 11
Let, Income of A = 3x and Income of B = 5x, and Saving of A = 8y and Saving of B = 11y
Expenditure of A = 3x-8y
Expenditure of B = 5x-11y
Required Ratio = \(\frac{3x-8y}{5x-11y}\)
We do not have an exact value, so expenditure ratio in this case cannot be found.
II. The incomes of A and B are in ratio of 3 : 5 and savings of A and B are in ratio of 1 : 3
Let, Income of A = 3x and Income of B = 5x, and Saving of A = y and Saving of B = 3y
Expenditure of A = 3x-y
Expenditure of B = 5x-3y
Required Ratio = \(\frac{3x-y}{5x-3y}\)
We do not have an exact value, so expenditure ratio in this case cannot be found.
III. The incomes of A and B are in ratio of 3 : 5 and savings of A and B are in ratio of 3 : 5
Let, Income of A = 3x and Income of B = 5x, and Saving of A = 3y and Saving of B = 5y
Expenditure of A = 3x-3y
Expenditure of B = 5x-5y
Required Ratio = \(\frac{3x-3y}{5x-5y}\) = \(\frac{3}{5}\)
We have an exact value, and expenditure ratio in this case = \(\frac{3}{5}\).
Answer: B
