The Income of A B and C are In the ratio `3:7:4` and their expenses in the ratio `4 : 3 : 5`. If A saves f 300 out of an income of Rs 2,400, the savings of B and C are :

Options

A. Rs 4025 and Rs 575
B. Rs 1575 and Rs 625
C. Rs 2750 and Rs 1525
D. Rs 3725 and Rs 1525

Answer

To solve the problem step by step, we will follow the given ratios of income and expenses, and then calculate the savings for B and C based on the information provided.

### Step 1: Understand the Ratios
The incomes of A, B, and C are in the ratio of 3:7:4. The expenses of A, B, and C are in the ratio of 4:3:5.

### Step 2: Assign Income Values
Let the incomes of A, B, and C be represented as:
- A's income = 3x
- B's income = 7x
- C's income = 4x

We know A's income is Rs 2400. Therefore, we can set up the equation:
\[ 3x = 2400 \]
From this, we can find the value of x.

### Step 3: Calculate x
To find x:
\[ x = \frac{2400}{3} = 800 \]

### Step 4: Calculate Incomes of B and C
Now we can calculate the incomes of B and C:
- B's income = 7x = 7 * 800 = Rs 5600
- C's income = 4x = 4 * 800 = Rs 3200

### Step 5: Assign Expense Values
Let the expenses of A, B, and C be represented as:
- A's expense = 4y
- B's expense = 3y
- C's expense = 5y

### Step 6: Calculate A's Expense
We know A saves Rs 300 from an income of Rs 2400. Therefore, A's expense can be calculated as:
\[ A's \, expense = A's \, income - A's \, savings = 2400 - 300 = 2100 \]

### Step 7: Set Up the Equation for Expenses
Now we can set up the equation for A's expense:
\[ 4y = 2100 \]
From this, we can find the value of y.

### Step 8: Calculate y
To find y:
\[ y = \frac{2100}{4} = 525 \]

### Step 9: Calculate Expenses of B and C
Now we can calculate the expenses of B and C:
- B's expense = 3y = 3 * 525 = Rs 1575
- C's expense = 5y = 5 * 525 = Rs 2625

### Step 10: Calculate Savings for B and C
Now we can calculate the savings for B and C:
- B's savings = B's income - B's expense = 5600 - 1575 = Rs 4025
- C's savings = C's income - C's expense = 3200 - 2625 = Rs 575

### Summary of Savings
- B's savings = Rs 4025
- C's savings = Rs 575

### Final Answer
The savings of B and C are Rs 4025 and Rs 575, respectively.

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