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1. Jesmin spent one-third of her money on books and half of the remaining money on clothing. she then spent three-fourths of what she had left on food. She had 500 left over. How much money did she start with?

  • A. Tk. 6000
  • B. Tk. 6000
  • C. Tk. 6000
  • D. Tk. 6000

Answer: Option A

Explanation:

Spent on books = 1/3

Spent on clothing = 1/2 of (1 - 1/3) = 1/2 × 2/3 = 1/3

Spent on food = 3/4 × { 1 - (1/3 + 1/3)} = 3/4 × (1 - 2/3) = 3/4 × 1/3 = 1/4

Left over = 1 - (1/3 + 1/3 + 1/4) = 1 - (4 + 4 + 3)/12 = 1 - 11/12 = 1/12

Now,  1/12 ≡ 500 TK

Then,  she started with 500×12 = 6000 TK


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