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 letter is :
1. 16 ∶ 13
2. 5 ∶ 4
3. 7 ∶ 5
4. 12 ∶ 11
1. 16 ∶ 13
2. 5 ∶ 4
3. 7 ∶ 5
4. 12 ∶ 11
Correct Answer – Option 4 : 12 ∶ 11
Given
Allowances for 1st person = 65% of his basic
Allowances for 2nd person = 80% of his basic
Formula Used
Total emolument = basic pay + allowances
Calculation
Let the basic pay of 1st person and 2nd person be x and y
⇒ Total emoluments of both person are same
⇒ x + 65% of x = y + 80% of y
⇒1.65x = 1.80y
⇒ x : y = 12 : 11
∴ The ratio of the basic pay of the former to the basic pay of the letter is 12 : 11