A box contains only marbles. If 1/4 of the marbles were removed, the box would be filled to 1/3 of its capacity. If instead 100 marbles were added, the box would be full. How many marbles are there in the box ?
Solution
Correct Answer: Option A
Solution: Let, the number of marbles be x
at first removed 1/4 of x or x/4
rest = x - x/4 = 3x/4 which is 1/3 of the capacity
So, total capacity is 3x/4 \( \times \) 3 = 9x/4
ATQ, x + 100 = 9x/4 => 9x = 4x - 400 => 5x = 400 x = 80
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