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
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Correct Answer: Rs. 1200
Solution : Let the share of P, Q, and R during the 1st division be $5x,7x$, and $8x$ respectively. The sum = Rs. 6000 Now, $5x+7x+8x=6000$ ⇒ $x=300$ Share of R = $8x=8\times300=2400$ Again, Let the share of P, Q, and R during the 2nd division be $9x,7x$, and $4x$ respectively. The sum = Rs. 6000 Now, $9x+7x+4x=6000$ ⇒ $x=300$ Share of R = $4x=4\times300=1200$ Loss = 2400 – 1200 = 1200 Hence, the correct answer is Rs. 1200.
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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
Question : Three partners P, Q, and R share profit such that 4 times P's share is equal to 5 times Q's share and equal to 8 times R's share. What is the ratio of the profits of P, Q, and R respectively?
Option 1: 12 : 8 : 7
Option 2: 10 : 8 : 5
Option 3: 14 : 7 : 9
Option 4: 15 : 9 : 8
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. 4,500 is divided among four friends in the ratio of $\frac{1}{6}: \frac{1}{4}: \frac{1}{3}: \frac{1}{2}$, What is the amount received by the person who got the smallest share?
Option 1: Rs. 1,100
Option 3: Rs. 500
Option 4: Rs. 800
Question : A certain sum is divided between four people A, B, C, and D in the ratio 3 : 4 : 7 : 8, respectively. If the amount received by D is Rs. 408 more than the amount received by B, what is the total amount received by C and D?
Option 1: Rs. 1,630
Option 2: Rs. 1,510
Option 3: Rs. 1,610
Option 4: Rs. 1,530
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