Question
Download Solution PDFThe total emoluments of two persons are the same, but one gets allowances to the extent of 65% of his basic pay and the other gets allowances to the extent of 80% of his basic pay. The ratio of the basic pay of the former to the basic pay of the latter is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The total emoluments of two persons are the same.
Allowances for the first person = 65% of basic pay
Allowances for the second person = 80% of basic pay
Formula used:
Total Emoluments = Basic Pay + Allowances
Calculation:
Let the basic pay of the former be B1 and that of the latter be B2.
Total emoluments of the former = B1 + 0.65B1 = 1.65B1
Total emoluments of the latter = B2 + 0.80B2 = 1.80B2
Given that total emoluments are the same:
1.65B1 = 1.80B2
⇒ B1 / B2 = 1.80 / 1.65
⇒ B1 / B2 = 180 / 165
⇒ B1 / B2 = 12 / 11
∴ The correct answer is option 2.
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