A man purchase of 120 exercise books at rate of ₹30 each and sold $\frac{1}{3}rd$ of them at rate of ₹40 each, $\frac{1}{2}$ of them at the rate of ₹50 each and the rest at cost price his profit percentage was :
Answer & explanation
Correct answer: option 2
Total cost price of 120 books = 120 × 30 = 3600
$\frac{1}{3}rd$ of the books sold at rate of ₹40 each
Selling price of these books = \(\frac{1}{3}\) × 120 × 40
= 1600
$\frac{1}{2}rd$ of the books sold at rate of ₹50 each
Selling price of these books = \(\frac{1}{2}\) ×120 × 50
= 3000
Remaining books = 120 - 40 - 60 = 20
Selling price of these remaining books = Cost price of these books
Total selling price of remaining 20 books = 20 × 30 = 600
Total selling price of 120 books = 1600 + 3000 + 600
= 5200
Profit percent = \(\frac{5200 - 3600}{3600}\) × 100%
= \(\frac{1600}{3600}\) × 100%
= \(\frac{4}{9}\) × 100%
The correct answer is option (2) : $44\frac{4}{9}$%