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Rizwan has a box in which he kept red and blue marbles. The red marbles and the blue marbles were in the ratio 5 : 4. After he lost 5 red marbles, the ratio became 10 : 9. How many marbles does he have now?

Rizwan has a box in which he kept red and blue marbles. The red marbles and the blue marbles were in the ratio 5 : 4. After he lost 5 red marbles, the ratio became 10 : 9. How many marbles does he have now? Correct Answer 76

Let the number of red and blue marbles be ‘5x’ and ‘4x’, respectively.

According to the question,

(5x – 5)/4x = 10/9

⇒ x = 9

Now, Rizwan has the total number of marbles = (5x – 5) + 4x = 9x – 5

⇒ Now, Rizwan has the total number of marbles = 9 × 9 – 5 = 76

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