Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
By mixing two brands of tea and selling the mixture at the rate of ₹ 177 per kg, a shopkeeper makes a profit of 18\%. If to every 2 kg of one brand costing ₹ 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
(a)₹ 110
(b)₹ 120
(c)₹ 140
(d)None of these
Answer
Answer (as printed): D
Explanation
Let the cost of the other brand be ₹ $x$ per kg. C.P. of $5 \mathrm{kg}=₹(2 \times 200+3 \times x)=₹(400+3 x)$. S.P. of $5 \mathrm{kg}=₹(5 \times 177)=₹ 885$. $$\begin{aligned} & \therefore \frac{885-(400+3 x)}{400+3 x} \times 100=18 \Leftrightarrow \frac{485-3 x}{400+3 x}=\frac{9}{50} \\ & \Leftrightarrow 24250-150 x=3600+27 x \\ & \Leftrightarrow 177 x=20650 \Leftrightarrow x=\left(\frac{350}{3}\right)=116 \frac{2}{3} . \end{aligned}$$ So, cost of the other brand $=₹ 116.66$.