Profit And Loss Ques 5
Question.
The cost price of two beds are equal. One bed is sold at a profit of $30 \%$ and the other one for Rs. 5504 less than the first one. If the overall profit earned after selling both the beds is $14 \%$, what is the cost price of each bed?
(1) Rs. 17,000
(2) Rs. 16,800
(3) Rs. 17,600
(4) Rs. 17,800
(5) Rs. 17,200
(IBPS Bank PO/MT (Pre.) Exam, 23.10.2016)
Show Answer
Correct Answer: (5)
Solution: (5)
Let the C.P. of each bed be Rs. $x$.
S.P. of first bed $=$ Rs. $\frac{130 x}{100}$ = Rs. $\frac{13 x}{10}$
S.P. of second bed $=$ Rs. $\left(\frac{13 x}{10}-5504\right)$
According to the question,
$ \begin{aligned} & \frac{13 x}{10}+\left(\frac{13 x}{10}-5504\right)=2 x \times \frac{114}{100} \\ & \Rightarrow \frac{26 x}{10}-\frac{228 x}{100}=5504 \\ & \Rightarrow \frac{260 x-228 x}{100}=5504 \\ & \Rightarrow \frac{32 x}{100}=5504 \\ & \Rightarrow x=\frac{5504 \times 100}{32} \\ & =\text { Rs. } 17200 \end{aligned} $
BETA
