Profit And Loss Ques 9
Question.
A trader mixes $14 kg$ rice of variety A which costs Rs. 60 per kg with $18 kg$ quantity of type $B$ rice. He sells the mixture at Rs. 65 per $kg$ and earns a profit of $\frac{100}{3} \%$. What was the cost price of type $B$ rice (Rs. per kg.)?
(1) 30
(2) 20
(3) 40
(4) 50
(5) 45
(IBPS RRBs Officers CWE (Prelim Exam) 09.09.2017 IInd Sitting)
Show Answer
Correct Answer: (3)
Solution: (3)
Cost of type-B rice $=$ Rs. $x$ per kg.
According to the question,
$(14 \times 60+18 x) \times \frac{4}{3}$ $=(18+14) \times 65$
$\Rightarrow(840+18 x) \times \frac{4}{3}=2080$
$\Rightarrow 840+18 x=\frac{2080 \times 3}{4}=1560$
$\Rightarrow 18 x=1560-840=720$
$\Rightarrow x=\frac{720}{18}=$ Rs. 40 per kg.