Question

By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?​

Answer 1

Given :-

A man sold 12 pencils and gain loses of 20% on pencil .

Therefore ,

SP of one pencil = Rs 1/12

Solution :-

SP of 1 pencil = Rs 1/12 , Loss % = 20%

Therefore ,

CP = ( SP * 100 ) / ( 100 - Loss%)

Put the required values in the formula ,

CP = 1/12 * 100/ 100 - 12

CP = 100 / 12 * 80

CP = 100/ 960

CP = 5/48

CP of 12 pencil is Rs 5/48

Now , If she gain profit of 20%

Therefore ,

$SP \: = \: CP \: + \: Gain \:$

SP = 5/48 + 20/100 * 5/48

SP = 5 / 48 + 20/100 * 5/48

SP = 6/ 48

SP of 1 Pencils = Rs1/8

Therefore ,

Man sold 8 pencils for a rupee .