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?

Description (বিবরণ) :

প্রশ্ন: 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?

ব্যাখ্যা:

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