The total emoluments of two persons are the same, but one gets allowan

1.	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 ∶ 132. 5 ∶ 43. 7 ∶ 54. 12 ∶ 11
Answer» 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

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 ∶ 132. 5 ∶ 43. 7 ∶ 54. 12 ∶ 11

Answer» 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

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