Question : A sum of Rs. 120 is divided among p, q, and r in such a way that p gets Rs. 9 more than q and q gets Rs. 6 more than r. What is the ratio of shares of p, q, and r respectively?
Option 1: 18 : 15 : 13
Option 2: 15 : 12 : 10
Option 3: 16 : 13 : 11
Option 4: 11 : 8 : 10
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Correct Answer: 16 : 13 : 11
Solution : Given, A sum of Rs. 120 is divided among p, q, and r. According to the question, p gets Rs. 9 more than q ⇒ p = 9 + q ...............(1) And, q gets Rs. 6 more than r ⇒ q = 6 + r ⇒ r = q – 6 ................(2) Also, p + q + r = 120 Putting values from (1) and (2), we get, ⇒ 9 + q + q + q - 6 = 120 ⇒ 3q + 3 = 120 ⇒ 3q = 117 $\therefore$ q = 39 ⇒ p = 9 + 39 = 48 ⇒ r = 39 – 6 = 33 ⇒ p : q : r = 48 : 39 : 33 = 16 : 13 : 11 Hence, the correct answer is 16 : 13 : 11.
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Question : A sum of Rs. 53 is divided among A, B, and C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their share is:
Option 1: 16 : 9 : 18
Option 2: 25 : 18 : 10
Option 3: 18 : 25 : 10
Option 4: 15 : 8 : 30
Question : The ratio of salary of P, Q, and R is 5 : 6 : 8. If R gets Rs. 2200 more than Q, then what is the salary of P?
Option 1: Rs. 6500
Option 2: Rs. 7000
Option 3: Rs. 7700
Option 4: Rs. 5500
Question : Rs. 6000 was to be divided among P, Q, and R in the ratio of 5 : 7 : 8. By mistake it was divided among P, Q, and R in the ratio of 9 : 7 : 4. What amount R has lost in the division?
Option 1: Rs. 900
Option 2: Rs. 600
Option 3: Rs. 300
Option 4: Rs. 1200
Question : If the number p is 5 more than q and the sum of the square of p and q is 55, then the product of p and q is:
Option 1: 10
Option 2: –10
Option 3: 15
Option 4: –15
Question : A certain amount of money is divided among x, y, and z. If x receives 25% more than y and y receives 25% less than z, then x : y : z is equal to:
Option 1: 14 : 12 : 13
Option 2: 15 : 12 : 16
Option 3: 10 : 9 : 12
Option 4: 12 : 10 : 11
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