In a multiplication problem, instead of taking 45 as one of the multipliers, Vineet took 54. As a result, the product went up by 540. What is the correct product?

2700

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5400

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1440

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1590

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Solution

The correct option is A
2700

Let the number that Vineet wanted to multiply be 'X'.
He is expected to find the value of 45X.
Instead, he found the value of 54X. The difference between the value that he got (54X) and what he was expected to get (45X), according to the question, is 540.
i.e., 54X - 45X = 540
or (54 - 45) $\times$ X = 540
$⟹$ X = 60.
$∴$ 45X = 2700.

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