Profit and Loss - Arithmetic Aptitude Questions and Answers

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By selling an article what is the profit percent gained?

I.5% discount is given on list price.

II.If discount is not given, 20% profit is gained.

III.The cost price of the articles is Rs. 5000.

Only I and II

Only I and III

All I, II and III

None of these

Answer : Option A

Explanation :

I. Let the list price be Rs. x.

Then, S.P. = 95% of Rs. x = Rs.	\([X X \frac { 95 } { 100 }]\)					= Rs.\( \frac { 19X } { 20 }\)

II. When S.P. = Rs. x and gain = 20%.

Then, C.P. = Rs.	\( [\frac { 1 00} { 120 } XX]\)				= Rs.\(\frac { 5X } { 6 } \)

Gain =			\([ \frac { 19X } { 20 }\)-\( \frac { 5X } { 6 }\)		]	= \( [\frac { 57X - 50X } {60} ]\)	=\(\frac { 7X } { 60 } \)

Gain % =	[		\(\frac { 7X } { 60 } \)		X \(\frac { 6 } { 5X } \) x100] % = 14%