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1. The savings of an employee equals income minus expenditure. If their incomes ratio is 1 : 2 : 3 and their expenses ratio is 3 : 2 : 1, then what is the order of the employees A, B and C in the increasing order of the size of their savings?
- A. A>B>C
- B. A>B>C
- C. A>B>C
- D. A>B>C
Answer: Option A
Explanation:
Let's denote the income of employees A, B, and C as IA, IB, and IC, respectively. Similarly, let's denote their expenses as EA, EB, and EC.
According to the given ratios: Income ratio = 1:2:3 Expenses ratio = 3:2:1
Now, let's calculate the savings for each employee:
Savings of A = IA - EA Savings of B = IB - EB Savings of C = IC - EC
Now, let's calculate the savings for each employee using the given ratios:
Income ratio = 1:2:3 Expenses ratio = 3:2:1
Let's assume that the common multiplier for both ratios is "x" (where x is a positive number).
So, the income for A, B, and C would be: IA = 1x IB = 2x IC = 3x
And the expenses for A, B, and C would be: EA = 3x EB = 2x EC = 1x
Now, let's calculate the savings for each employee:
Savings of A = IA - EA = (1x - 3x) = -2x Savings of B = IB - EB = (2x - 2x) = 0 Savings of C = IC - EC = (3x - 1x) = 2x
Now, let's order the employees in increasing order of the size of their savings:
- Savings of A = -2x
- Savings of B = 0
- Savings of C = 2x
So, the correct order of employees in increasing order of the size of their savings is A > B > C.
The correct answer is A > B > C.
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