A trader sold an article at a loss of $5 %$ but when he increased the selling price by Rs. $65$ he gained $3.33 %$ on the cost price. If he sells the same article at Rs. $936$ , what is the profit percentage?

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A shopkeeper sells an item at a loss of 1212%. In order to gain 6% profit, he must increase the selling price by Rs. 92.50. The cost price of the item is

The correct option is A Rs. 500Let the C.P. be Rs. x.Loss =12.5%So, the S.P. will be Rs. 0.875xTo gain 6%, his S.P. must be Rs. 1.06x.The difference in selling price =1.06x−0.875x=92.500.185x=92.50 ; x= Rs. 500The cost price of the item is Rs. 500.

A shopkeeper sells an item at a loss of $12 \frac{1}{2} %$ . In order to gain $6 %$ profit, he must increase the selling price by Rs. $92.50$ . The cost price of the item is

The correct option is A Rs. $500$
Let the C.P. be Rs. $x$ .
Loss $= 12.5 %$
So, the S.P. will be Rs. $0.875 x$
To gain $6 %$ , his S.P. must be Rs. $1.06 x$ .
The difference in selling price $= 1.06 x - 0.875 x = 92.50$
$0.185 x = 92.50$ ; $x =$ Rs. $500$
The cost price of the item is Rs. $500$ .