A shopkeeper defrauds both the dealer and the customer by measuring the weights incorrectly. When he is purchasing items from the dealer, he takes 20% more than the indicated weight and when he is selling to the customer, he gives 20% less than indicated weight. If the price that the shopkeeper cha…

Question

A shopkeeper defrauds both the dealer and the customer by measuring the weights incorrectly. When he is purchasing items from the dealer, he takes 20% more than the indicated weight and when he is selling to the customer, he gives 20% less than indicated weight. If the price that the shopkeeper charges his customer is the same as what dealer charges the shopkeeper, then what profit percentage does the shopkeeper make?
The answer is showing as 50%, my answer is coming 44%..please explain in brief. I am very much confused.

NINJA · Answer

CP              SP
1000        1200
 800       1000

multiple  cp both & both sp ( cp with cp & sp with sp ) then use profit formula sp - cp=profit

Kartik Srivastava · Answer

50 % 
5 --&gt; 6
5 --&gt; 4
cross multiply
20(cp)---&gt; 30(sp)
hence 
50 percent

NINJA · Answer

50%

Join CAT 2026 course by 5-Time CAT 100%iler

Download resources