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Nethra while reading a book, notices that three pages in between the book are blank without any texts. The first and second page's numbers are 50% and 75% lesser than the third page number. By how much percent is the second page number to be increased so as to make it equal to the first number?

Question

Nethra while reading a book, notices that three pages in between the book are blank without any texts. The first and second page's numbers are 50% and 75% lesser than the third page number. By how much percent is the second page number to be increased so as to make it equal to the first number?

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Solution

Let's denote the page numbers as follows:

  • The third page number is X.
  • The first page number is 50% less than X, so it's 0.5X.
  • The second page number is 75% less than X, so it's 0.25X.

We want to find out by how much percent the second page number (0.25X) needs to be increased to equal the first page number (0.5X).

The difference between the first and second page numbers is 0.5X - 0.25X = 0.25X.

To find out the percentage increase, we divide the difference by the original number (second page number) and multiply by 100:

(0.25X / 0.25X) * 100 = 100%.

So, the second page number needs to be increased by 100% to make it equal to the first page number.

This problem has been solved

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