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?
₹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.
Important Questions from Ratio and Proportion
The cost of a diamond is directly proportional to the square of its weight. The cost of a 14 gm diamond is Rs. 2560. This diamond got broken down into two pieces in the ratio of 5 ∶ 9. How much loss percent is incurred due to this breakage ? (Correct to two decimal places)
Atul purchased Bread costing Rs.20 and gave a 100 rupee note to the shopkeeper. The shopkeeper gave the balance money in coins of denomination Rs.2, Rs.5 and Rs.10. If these coins are in the ratio 5 ∶ 4 ∶ 1, then how many Rs.5 coins did the shopkeeper give?
A person divides a certain amount among his three sons in the ratio of 3 ∶ 4 ∶ 5. If he had divided this amount in the ratio of 1/3,1/4,1/5, his son, who had got the lowest share earlier, would get Rs.1,188 more. Find the amount (in Rs).
In a school 3/8 of the number of students are girls and the rest are boys. One-third of the number of boys are below 10 years and 2/3 the number if girls are also below 10 years. If the number of students of age 10 or more years is 260. then the number of boys in the school is:
If a : b : c = \(\frac{1}{4} : \frac{1}{3} : \frac{1}{2}, \) then \( \ \frac{a}{b} : \frac{b}{c} : \frac{c}{a} = ?\)
