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Question

A sum of money is divided among A, B, and C in the ratio 4 ∶ 3 ∶ 6. If the share of C is ₹600 more than B, then how much amount will A get more than B?

The correct answer is

₹200

To find out how much more money A gets than B, we can work directly with the parts of the ratio.

Step 1: Analyze the Ratios

The money is divided among A, B, and C in the ratio:

$$\text{A} : \text{B} : \text{C} = 4 : 3 : 6$$

Let the common multiplier for the shares be $x$. This means:

A's share = $4x$

B's share = $3x$

C's share = $6x$

Step 2: Use the Given Difference to Find $x$

We are told that C's share is ₹600 more than B's share.

$$\text{C's share} - \text{B's share} = ₹600$$

$$6x - 3x = 600$$

$$3x = 600$$

$$x = 200$$

Step 3: Calculate How Much More A Gets Than B

We need to find the difference between A's share and B's share:

$$\text{Difference} = \text{A's share} - \text{B's share}$$

$$\text{Difference} = 4x - 3x = 1x$$

Since we already know that $1x = 200$:

$$\text{Difference} = ₹200$$

Final Answer:

A will get ₹200 more than B.

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Important Questions from Ratio and Proportion

  1. If the ratio of three numbers A, B and C is 2 ∶ 3 ∶ 5, and the sum of the squares of these numbers is 3800, then the value of C is:

  2. A bag contains ₹310 in the form of 5 rupee, 2 rupee and 1 rupee coins in the ratio 4 ∶ 3 ∶ 5. What is the number of 5 rupee coins? 

  3. The ratio of three numbers is 3 ∶ 5 ∶ 4 and the sum of their squares is 11250. Find the sum of the numbers.

  4. When 'x' is subtracted from each of the numbers 22, 39, 56 and 107, then the resulting numbers, in this order, are in proportion. What is the mean proportional between (x + 3) and (3x - 7)?

  5. The salaries of Ravi and Sumit are in the ratio 4 ∶ 5. If the salary of each is increased by Rs. 6,000 the new ratio becomes 35 ∶ 40. What will be Sumit's increased salary?

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