I purchased 120 exercise books at the rate of ₹ 3 each and sold 1/3 of them at the rate of ₹ 4 each, 1/2 of them at the rate of ₹ 5 each and the rest at the cost price. My profit percent is

ABC26GN2757 · Profit and Loss

Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2006 · Marks: · Difficulty:

I purchased 120 exercise books at the rate of ₹ 3 each and sold $\frac{1}{3}$ of them at the rate of ₹ 4 each, $\frac{1}{2}$ of them at the rate of ₹ 5 each and the rest at the cost price. My profit percent is

(a)44\%

(b)$44 \frac{2}{3} \%$

(c)$44 \frac{4}{9} \%$

(d)45\%

Answer

Answer (as printed): C

Explanation

Total C.P. $=₹(120 \times 3)=₹ 360$. Total S.P. $=₹(40 \times 4+60 \times 5+20 \times 3)=₹ 520$. Profit $=₹(520-360)=₹ 160$. $$\text { ∴ } \text { Profit } \%=\left(\frac{160}{360} \times 100\right) \%=\left(\frac{400}{9}\right) \%=44 \frac{4}{9} \% \text {. }$$

Explanation as extracted from the printed page; notation may be imperfect.

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