A) Rs.800
B) Rs.760
C) Rs.840
D) Rs.742
E) Rs.862
Correct Answer: A
Solution :
Let the cost price be Rs. x Marked price \[=x+\frac{40x}{100}=Rs.\frac{14x}{10}\] Now, discount given is 25% Then, selling price\[=\frac{14x}{10}-\frac{14x}{10}\times \frac{25}{100}\] \[=\frac{14x}{10}-\frac{14x}{40}=\frac{56x-14x}{40}=\frac{42x}{40}\] According to the question, \[\frac{42x}{40}=840\] or, \[x=\frac{840\times 40}{42}=Rs.\,800\] Method II. % profit \[=40-25+\frac{(40)(-25)}{100}\] \[=15-10=5%\] And given SP = Rs. 840 \[\therefore \]\[CP=840\left( \frac{100}{105} \right)=Rs.\,800\] Or Let CP = 100 \[\Rightarrow \]MP = 140 \[SP=140\left( \frac{75}{100} \right)=105\] Now, when \[SP=105\] \[CP=100\] \[\therefore \]\[SP=840\] \[CP=\frac{100}{105}\times 840=Rs.\,800\]You need to login to perform this action.
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