Kunal vats
Last Activity: 2 Years ago
Answer
Math Primary School
Expert-Verified Answer
Given:
A shopkeeper bought two phones for Rs. 8000 each. He sells the first phone at a loss of 4% and also sells the second profit of 8%.
To Find:
Calculate the overall gain percentage or loss percentage.
Solution:
1. The cost of each phone is Rs. 8000, Since the shopkeeper has purchased two phones, the cost of two phones is,
=> Cost of two mobiles = 2 x 8000 = Rs. 16000.
2. Since the first mobile is sold at a loss of 4%,
Price at which the first mobile is sold = Cost price - (loss percentage) x Cost price, => Selling price of the first mobile = 8000 - (4/100)x8000,
=> Selling price of the first mobile = 8000 - 320,
=>Selling price of first mobile = Rs. 7680.
3. Since the second mobile is sold at a profit of 8%,
=> Price at which the first mobile is sold = Cost price + (profit percentage) x Cost price,
=> Selling price of the first mobile = 8000 +
(8/100)x8000,
=> Selling price of the first mobile = 8000 + 640,
=> Selling price of first mobile = Rs. 8640.
3. Total selling price of two mobiles = 8640 + 7680 = 16320.
>> As the Total selling price is greater than the total cost price, the shopkeeper has gained a profit. ⇒ Profit percentage = (Profit x 100)/Cost price,
=>Profit percentage = (320 x 100)/16000,
Profit percentage = 2%.