Dividing ₹1170 among a, b, c in the ratio of 2:7:4

To divide ₹1170 among a, b, and c in the ratio of 2:7:4, we need to follow a few steps.

Step 1: Finding the total parts
First, we need to find the total number of parts in the given ratio. The ratio 2:7:4 has a total of 2 + 7 + 4 = 13 parts.

Step 2: Finding the value of one part
Next, we need to find the value of one part. To do this, we divide the total amount of money (₹1170) by the total number of parts (13).
₹1170 ÷ 13 = ₹90

So, one part is equal to ₹90.

Step 3: Allocating the money
Now, we can allocate the money to each ratio part.

- For the first part (a), which has a ratio of 2, we multiply the value of one part (₹90) by 2.
2 × ₹90 = ₹180

- For the second part (b), which has a ratio of 7, we multiply the value of one part (₹90) by 7.
7 × ₹90 = ₹630

- For the third part (c), which has a ratio of 4, we multiply the value of one part (₹90) by 4.
4 × ₹90 = ₹360

Therefore, a will receive ₹180, b will receive ₹630, and c will receive ₹360.

Step 4: Checking the allocation
To verify that the allocation is correct, we can add up the amounts allocated to a, b, and c.
₹180 + ₹630 + ₹360 = ₹1170

The total amount allocated is indeed ₹1170, which matches the original amount.

Conclusion:
To divide ₹1170 among a, b, and c in the ratio of 2:7:4, a will receive ₹180, b will receive ₹630, and c will receive ₹360.