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The ratio compounded of 2 : 3, 9 : 4, 5 : 6 and 8 : 10 is (a) 1 : 1 (b) 1 : 5 (c) 3 : 8 (d) none of these?
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The ratio compounded of 2 : 3, 9 : 4, 5 : 6 and 8 : 10 is (a) 1 : 1 (b...
**Given Information:**

The given ratios are:
1. 2 : 3
2. 9 : 4
3. 5 : 6
4. 8 : 10

**To Find:**

The compounded ratio of the given ratios.

**Solution:**

To find the compounded ratio, we need to multiply all the ratios together.

Let's calculate the compounded ratio step by step:

Step 1: Multiply the first two ratios (2 : 3) and (9 : 4):

(2 : 3) * (9 : 4) = (2 * 9) : (3 * 4) = 18 : 12 = 3 : 2

Step 2: Multiply the result from Step 1 with the third ratio (5 : 6):

(3 : 2) * (5 : 6) = (3 * 5) : (2 * 6) = 15 : 12 = 5 : 4

Step 3: Multiply the result from Step 2 with the fourth ratio (8 : 10):

(5 : 4) * (8 : 10) = (5 * 8) : (4 * 10) = 40 : 40 = 1 : 1

Therefore, the compounded ratio of the given ratios is 1 : 1.

**Final Answer:**

The compounded ratio of the given ratios is 1 : 1.

**Explanation:**

The compounded ratio is found by multiplying all the individual ratios together. In this case, when we multiply the given ratios, we end up with a final ratio of 1 : 1. This means that the quantities represented by the ratios are in equal proportion to each other.
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The ratio compounded of 2 : 3, 9 : 4, 5 : 6 and 8 : 10 is (a) 1 : 1 (b) 1 : 5 (c) 3 : 8 (d) none of these?
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