A dry fruit seller sells his fruits at 5% loss on the cost price because of an urgent need of money. But due to some technical error in his weighing machine, it measures 19g instead of 20g. What is his profit or loss percentage

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Question

A dry fruit seller sells his fruits at 5% loss on the cost price because of an urgent need of money. But due to some technical error in his weighing machine, it measures 19g instead of 20g. What is his profit or loss percentage?

a)  11.25%

b)   9.75%

c)   9.25%

d)  11.75%

Solution

Fruit seller is bearing 5% loss , so if C.P =100 , than seller is selling at 95
so, 1st loss  = 95/100 = 0.95

He measures 19gm instead of 20gm , so he is selling 20gm on price of 19gm 
so, 2nd loss  = 19/20 = 0.95

Amount % remain after both loss = (0.95*0.95)*100 = 90.25%
So Loss % = 100% - 90.25% = 9.75%

Ans =9.75%