The sum of six times of an amount 'y' and (y-8.5) is Rs 632. Find the approximate value of y.

Options

A. Rs. 85
B. Rs. 89
C. Rs. 100
D. Rs. 110

Explanation

To solve the problem step by step, we will follow the mathematical operations as described in the transcript.

### Step 1: Set up the equation
According to the problem, the sum of six times an amount 'y' and (y - 8.5) is equal to 632. We can express this mathematically as:
\[ 6y + (y - 8.5) = 632 \]

### Step 2: Simplify the equation
Now, we will simplify the left side of the equation:
\[ 6y + y - 8.5 = 632 \]
This simplifies to:
\[ 7y - 8.5 = 632 \]

### Step 3: Isolate the term with 'y'
Next, we want to isolate the term with 'y' by adding 8.5 to both sides of the equation:
\[ 7y - 8.5 + 8.5 = 632 + 8.5 \]
This simplifies to:
\[ 7y = 640.5 \]

### Step 4: Solve for 'y'
Now, we will solve for 'y' by dividing both sides by 7:
\[ y = \frac{640.5}{7} \]

### Step 5: Calculate the value of 'y'
Now, we will perform the division:
\[ y \approx 91.5 \]

### Step 6: Determine the approximate value
Since the question asks for the approximate value of 'y', we look at the options provided (85, 89, 100, and 110). The closest option to 91.5 is 89.

### Final Answer
Thus, the approximate value of 'y' is:
\[ \text{y} \approx 89 \]

---