A trader bought two horses for Rs. 19500, he sold one at a loss 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost prices are respectively ?
A. Rs. 10000 and Rs. 9500
B. Rs. 11500 and Rs. 8000
C. Rs. 12000 and Rs. 7500
D. Rs. 10500 and Rs. 9000
Answer: Option B
Solution(By Examveda Team)
Let the CP of horse = Rs. xThen, CP of second horse = Rs. (19500 - x)
According to the question,
$$\eqalign{ & x \times \frac{{80}}{{100}} = \left( {19500 - x} \right) \times \frac{{115}}{{100}} \cr & \Rightarrow 16x = 23\left( {19500 - x} \right) \cr & \Rightarrow 16x = 448500 - 23x \cr & \Rightarrow 39x = 448500 \cr & \Rightarrow x = \frac{{448500}}{{39}} \cr & \Rightarrow x = {\text{Rs}}{\text{.}}\,11500 \cr} $$
∴ CP of first horse = Rs. 11500
∴ CP of second horse
= Rs. 19500 - 11500
= Rs. 8000
Related Questions on Profit and Loss
A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51
A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000
A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%
A. Rs. 3,750
B. Rs. 3,250
C. Rs. 2,750
D. Rs. 2,250
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