Question 55

X = 1200

To find the value of x in the proportion 2.5:150 :: 20:x, we can set up the equation 2.5/150 = 20/x. Cross-multiplying gives us x = (150 * 20) / 2.5, which simplifies to x = 1200.

A) X = 3000

Option A is incorrect because if x were 3000, the proportion would not hold true. Substituting 3000 back into the equation leads to a discrepancy in the calculated ratios.

B) X = 1000

Option B is also incorrect. Plugging in 1000 does not satisfy the proportion 2.5:150 :: 20:1000, as the resulting ratios would not be equal when calculated.

C) X = 1500

Option C is not correct since substituting 1500 into the equation results in an incorrect ratio that does not match the original proportion, failing to maintain the equality required.

D) X = 1200

Option D is correct. By calculating using the proportion, x equals 1200, which maintains the equality in the original ratio, confirming that the values are consistent across the equation.

Conclusion

The correct answer is 1200 as it accurately satisfies the proportion given in the question. All other options fail to keep the ratios equal, thus demonstrating that 1200 is the only valid solution in this context.