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

ব্যাখ্যা:

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