The 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:
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The emolument of a person is given by
Emolument = Basic Pay + Allowances
So,
Let the basic pay of both persons be x and y resp
Emolument of 1st person = x + 65% of x
= x + 0.65x = 1.65x
Emolument of 2nd person = y + 80% of y
= y + 0.80y = 1.80y
Now, both persons have same emoluments, so
1.80y = 1.65x
x/y = 1.80/1.65
x/y = 12/11
So, ratio of basic pay of both persons is 12 : 11
Emolument = Basic Pay + Allowances
So,
Let the basic pay of both persons be x and y resp
Emolument of 1st person = x + 65% of x
= x + 0.65x = 1.65x
Emolument of 2nd person = y + 80% of y
= y + 0.80y = 1.80y
Now, both persons have same emoluments, so
1.80y = 1.65x
x/y = 1.80/1.65
x/y = 12/11
So, ratio of basic pay of both persons is 12 : 11
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