Question : A certain sum is divided between A, B, C, and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D is 2 : 3. If the difference between the shares of A and C is INR 3,510, then the share of D is:
Option 1: INR 4,320
Option 2: INR 3,240
Option 3: INR 6,075
Option 4: INR 4,050
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Correct Answer: INR 6,075
Solution : Given: A : B = 1 : 3 B : C = 2 : 5 C : D = 2 : 3 Now, A : B : C = 2 : 6 : 15 A : B : C : D = (2 × 2) : (6 × 2) : (15 × 2) : (3 × 15) = 4 : 12 : 30 : 45 Difference between A and C: (30 – 4) = 26 units = 3510 ⇒ 1 unit = $\frac{3510}{26}$ = 135 Share of D = 45 units = 45 × 135 = 6075 Hence, the correct answer is INR 6075.
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Question : A sum of INR 46, 800 is divided among A, B, C, and D in such a way that the ratio of the combined share of A and D to the combined share of B and C is 8: 5. The ratio of the share of B to that of C is 5 : 4. A receives INR 18,400. If $x$ is the difference between the shares of A and B and $y$ is the difference between the shares of C and D, then what is the value of ($x$ – $y$) (in INR)?
Option 1: 7000
Option 2: 6000
Option 3: 6500
Option 4: 5000
Question : A sum of INR 1,250 has to be distributed among A, B, C, and D. The Total share of B and D is equal to $\frac{14}{11}$ of the total share of A and C. The share of D is half of the share of A. The share of C is 1.2 of the share of A. What are the shares of A, B, C and D respectively?
Option 1: INR 250, INR 575, INR 300, INR 125
Option 2: INR 350, INR 525, INR 300, INR 125
Option 3: INR 250, INR 525, INR 300, INR 125
Option 4: INR 250, INR 575, INR 300, INR 175
Question : A certain sum of money was divided between A, B, and C in the ratio of 5 : 6 : 9. If A received Rs. 450, the sum divided was:
Option 1: Rs. 2000
Option 2: Rs. 1800
Option 3: Rs. 2250
Option 4: Rs. 1000
Question : A certain sum of money is given at a certain rate for 3 years. Had it been given at a 5% higher rate, it would have fetched INR 600 more. Find the sum.
Option 1: INR 8,000
Option 2: INR 5,000
Option 3: INR 6,000
Option 4: INR 4,000
Question : Salaries of B, C, D, and E are in the ratio of 2 : 3 : 4 : 5 respectively. Their salaries are increased by 20%, 30%, 40% and 50% respectively. If the increased salary of D is INR 560, then what is the sum of the original salaries of B, C, D, and E?
Option 1: INR 1,400
Option 2: INR 1,560
Option 3: INR 1,820
Option 4: INR 1,260
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