Jesmin spent one-third of her money on books and half of the remaining money on clothing. She then spent three-fourth of what she had left on food. She had 500 left over. How much money did she start with?
Solution
Correct Answer: Option A
Let us consider that she had x at the beginning.
She spent on books= x/3
Remainder after books purchase= (x - x/3)
She spent on clothing= (x - x/3) / 2
Remainder after cloth purchase = (x - x/3) / 2
She spent on food= 3[(x - x/3) / 2] / 4 = 3[(x - x/3) / 8] = (3x - x) / 8
= 2x / 8
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