Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
A dry fruit merchant professes to sell 2 kg almond packs at a loss of 20\%. However, he uses two false weights each of which is marked 1 kg and thus gains $6 \frac{2}{3} \%$ on selling every 2 kg of almonds. If it is given that one of the weights weighs only 850 gm, then how much does the other weight weigh?
(a)650 gm
(b)700 gm
(c)725 gm
(d)750 gm
Answer
Answer (as printed): A
Explanation
Let the C.P. of 1 kg of almonds be ₹ 100. Then, S.P. realised by the merchant on selling a 2 kg pack $=₹(2 \times 80)=₹ 160$. Profit $=6 \frac{2}{3} \%$. C.P. of each pack $$=₹\left(\frac{100}{106 \frac{2}{3}} \times 160\right)=₹\left(100 \times \frac{3}{320} \times 160\right)=₹ 150 .$$ Clearly, the 2 kg pack has 1 kg 500 gm of almonds. So, other weight $=(1 \mathrm{kg} 500 \mathrm{gm}-850 \mathrm{gm})=650 \mathrm{gm}$.