Question

By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg, a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?

• A. Rs. 110
• B. Rs. 120
• C. Rs. 140
• D. None of these

Answer 1

The correct option is D None of these

Let the cost of the other brand be Rs. x per kg.
C.P. of 5 kg $=Rs.(2\times 200+3\times x)=Rs.(400+3x)$
S.P. of 5 kg $=Rs.(5\times 177)=Rs.885$
$\therefore \frac{885-(400+3x)}{400+3x}\times 100=18$
$\Rightarrow \frac{485-3x}{400+3x}=\frac{9}{50}$
$\Rightarrow 24250-150x=3600+27x$
$\Rightarrow 177x=20650$
$\Rightarrow x=\frac{350}{3}=116\frac{2}{3}$
So, cost of the other brand $=Rs.\mathrm{116.66.}$