Percentage [प्रतिशत]–05

Question: The shopkeeper marks the prices of his goods at 20% higher than the original price. After that, he allows a discount of 10%. What profit or loss did he get? [एक दुकानदार अपने वस्तुओं की कीमत, मूल कीमत से 20% बढाकर लिखता है. इसके बाद वह 10% का बट्टा देता है. उससे कितना प्रतिशत लाभ/हानि हुआ?] [Ans. (a) 8% profit ]

(a) 8% profit (b) 8% loss (c) 12% profit (d) 12% loss (e) None of these

Solution:

Detailed Explanation:

First Method: Here, Original Price (OP) is the Cost Price (CP). Let Original Price is 100. Since the Leveled Price is 20% above the Original Price, so Leveled Price is 100+20 = 120.

Discount is always given on Leveled Price. Here, the discount is 10%.

Discount is 10% of 120 = 12

Selling Price (SP) = 120-12 = 108

Profit = 108-100 = 8, which is on 100, so 8% is the profit. Ans.  

Second Method: When any quantity is changed by x% and y% successively, then the quantity is changed by x + y + (x×y/100)    

So, here x + y + (x×y)/100 = (+20) + (-10) + (+20×-10)/100 = (+10) – (2) = +8 Therefore, profit is 8% Ans.