Multiple choice

I purchase 120 exercise books at the rate of Rs. 3 each and sold $\frac {1}{3}$rd of them at the rate of Rs.4 each, $\frac {1}{2}$ of them at the rate of Rs.5 each and the rest at the cost price. My profit percentage was:

  1. $44$%
  2. $44\dfrac {4}{9}$%
  3. $44\dfrac {2}{3}$%
  4. $45$%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total books = 120. Cost = 120 * 3 = 360. Sales: (1/3)*120 = 40 books at 4 = 160. (1/2)*120 = 60 books at 5 = 300. Remaining = 120 - 40 - 60 = 20 books at 3 = 60. Total Revenue = 160 + 300 + 60 = 520. Profit = 520 - 360 = 160. Profit % = (160 / 360) * 100 = (16/36) * 100 = (4/9) * 100 = 44.44%.

AI explanation

The total cost price for 120 books is 120 * 3 = Rs. 360. Selling 40 books at Rs. 4 yields Rs. 160, and selling 60 books at Rs. 5 yields Rs. 300, while the remaining 20 books at cost price yield Rs. 60, making the total selling price Rs. 520. The profit is 520 - 360 = Rs. 160. The profit percentage is (160 / 360) * 100, which equals 44 4/9%.

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