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

SP of the mixer = Rs. 177 per kg.
CP of the mixer = $Rs.\frac{177}{1.18}=Rs.150perkg.$
Let rate of the other brand be Rs. x per kg.
$\therefore$ We get the alligation as:

On solving we get x = 116.66

Alternatively:
Let the cost of the other brand be Rs x per kg.
C.P. of $5kg=Rs(2\times 200+3\times x)=Rs(400+3x)$
S.P. of $5kg=Rs(5\times 177)=Rs885$
$\therefore \frac{885-(400+3x)}{400+3x}\times 100=18\iff \frac{485-3x}{400+3x}=\frac{9}{50}\iff 24250-150x=3600+27x\iff 177x=20650\iff x=\left(\frac{350}{3}\right)=116\frac{2}{3}.$
So, cost of the other brand = Rs 116.66.