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Ratio of boys and girl is 4:5. When 100 girl left, the ratio becomes 6:7. Find the no. of boys.Options :1200600800None of these

Question

Ratio of boys and girls is 4:5. When 100 girls left, the ratio becomes 6:7. Find the number of boys.

Options:

  • 120
  • 600
  • 800
  • None of these
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Solution

Let's solve this step by step:

Step 1: Let's assume the initial number of boys and girls are 4x and 5x respectively.

Step 2: According to the problem, when 100 girls left, the ratio of boys to girls became 6:7. So, we can write this as 4x/(5x-100) = 6/7.

Step 3: Cross multiply to solve for x. We get 28x = 24x - 2400.

Step 4: Simplify the equation to find the value of x. We get 4x = 2400, so x = 600.

Step 5: Substitute x = 600 into 4x to find the number of boys. We get 4*600 = 2400.

So, the number of boys is 2400. But this option is not given in the question. Therefore, the answer is "None of these".

This problem has been solved

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