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 Tk. 500 left over. How much money did she start with?
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 Tk. 500 left over. How much money did she start with? Correct Answer Tk. 6,000
Money spent on books = 1/3 Money spent on clothing = 1/2 x (1 - 1/3) = 1/2 x 2/3 = 1/3 Money spent on food = 3/4 x {1 - (1/3 + 1/3)} = 3/4 x (1 - 2/3) = 3/4 x 1/3 = 1/4 Fraction of money left over = 1 - (1/3 + 1/3 + 1/4) = 1 - (4 + 4 + 3)/12 = 1 - 11/12 = 1/12 Now, 1/12 th of the money = 500 So, total money she started with = 500 x 12 = 6000 TK
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Feb 20, 2025