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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 |
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Answer» <P>Given, 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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