Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2005 · Marks: · Difficulty:
Goods pass successively through the hands of three traders and each of them sells his goods at a profit of 25\% of his cost price. If the last trader sold the goods for ₹ 250, then how much did the first trader pay for them?
(a)₹ 128
(b)₹ 150
(c)₹ 192
(d)₹ 200
Answer
Answer (as printed): A
Explanation
Let the cost paid by the first trader be ₹ $x$. Then, 125 \% of 125\% of 125\% of $x=250$ $$\Rightarrow \frac{125}{100} \times \frac{125}{100} \times \frac{125}{100} \times x=250 \Rightarrow x=\left(250 \times \frac{64}{125}\right)=128 .$$
Explanation as extracted from the printed page; notation may be imperfect.