Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
A man sells two commodities for ₹ 4000 each, neither losing nor gaining in the deal. If he sold one commodity at a gain of $25 \%$, the other commodity is sold at a loss of:
(a)$16 \frac{2}{3} \%$
(b)$18 \frac{2}{9} \%$
(c)25\%
(d)None of these
Answer
Answer (as printed): A
Explanation
Total S.P. $=₹ 8000$ and Total C.P. $=₹ 8000$. S.P. of 1st commodity $=₹ 4000$. Gain on it = 25\%. ∴ C.P. of 1st commodity $$=₹\left(\frac{100}{125} \times 4000\right)=₹ 3200 .$$ P. of 2nd commodity $$=₹(8000-3200)=₹ 4800 .$$ P. of 2nd commodity $$\text { = ₹ } 4000 .$$ ∴ Loss on 2nd commodity $$=\left(\frac{800}{4800} \times 100\right) \%=16 \frac{2}{3} \% .$$
Explanation as extracted from the printed page; notation may be imperfect.