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 girl is 4:5. When 100 girl left, the ratio becomes 6:7. Find the no. of boys.Options :1200600800None of these
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 becomes 6:7. So, we can write this as:
4x/(5x - 100) = 6/7
Step 3: Cross multiply to solve for x:
28x = 24x - 2400
Step 4: Simplify the equation to find the value of x:
28x - 24x = -2400
4x = 2400
x = 2400 / 4
x = 600
Step 5: Substitute x = 600 into 4x to find the number of boys:
Number of boys = 4x = 4*600 = 2400
So, the number of boys is 2400 which is not in the options. Therefore, the answer is "None of these".
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