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Question
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?
Tk. 6,000
Tk. 8,000
Tk. 12,000
Tk. 1,600
None of these
ANSWER : 1
Descrption
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Money spent on books = 1/3</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Money spent on clothing = 1/2 x (1 - 1/3) = 1/2 x 2/3 = 1/3</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">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</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Fraction of money left over = 1 - (1/3 + 1/3 + 1/4) = 1 - (4 + 4 + 3)/12 = 1 - 11/12 = 1/12</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Now, 1/12 th of the money = 500</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">So, total money she started with = 500 x 12 = <strong>6000 TK</strong></span></p>
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