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%