1.

A shopkeeper distributes salaries to his employees P and Q. Total money he distributes to both of them is Rs. 9850, as he adds Rs. 500 to P's salary and Rs. 350 to Q's salary as a bonus, then the ratio of the salary of P to the salary of Q is 90 : 107. Then, what is difference between the original salaries of Q and P?1). Rs. 20002). Rs. 9003). Rs. 10004). Rs. 1200

Answer»

<P>Given,

BONUS amount of P = 500

Bonus amount of Q = 350

Let the original Salary of P and Q be Rs. P and Rs. Q respectively.

Total money he distribute to both after bonus = 9850

⇒ P + 500 + Q + 350 = 9850

⇒ P + Q = 9000

Given,

The RATIO between salary of P and salary of Q is 90 : 107 after bonus.

⇒ (P + 500)/(Q + 350) = 90/107

⇒ 107P + 53500 = 90Q + 31500

⇒ 90Q - 107P = 22000

Solving equation,

⇒ 90Q + 90P = 810000

⇒ 90Q - 107P = 788000

Subtracting above equation,

⇒ 197P = 788000

⇒ P = 4000

Then,

⇒ P + Q = 9000

⇒ Q = 5000

Difference in original salaries of P and Q

= 5000 - 1000

= 4000

∴ Difference in original salaries of P and Q is Rs. 1000.


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