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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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