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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. In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?

  2. If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:

  3. The third proportional to 9 and 15 is:

  4. The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:

  5. The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:

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