A shopkeeper bought two tv sets at 10,000 each .he sold one at a profit 10% and the
other at a loss of 10% .find wheather he made an overall profit or loss .
cost: 20000
revenue: 10000*1.10 + 10000*0.90 = 20000
To determine whether the shopkeeper made an overall profit or loss, we need to calculate the cost price (the price at which the shopkeeper bought the items) and the selling price (the price at which the shopkeeper sold the items).
Let's calculate the cost price and selling price for both TV sets:
Cost Price of the first TV set = 10,000
Selling Price of the first TV set = Cost Price + Profit
= 10,000 + 10% of 10,000 (Profit is 10% of Cost Price)
= 10,000 + 1,000
= 11,000
Cost Price of the second TV set = 10,000
Selling Price of the second TV set = Cost Price - Loss
= 10,000 - 10% of 10,000 (Loss is 10% of Cost Price)
= 10,000 - 1,000
= 9,000
Now, let's find the Total Cost Price and Total Selling Price:
Total Cost Price = Cost Price of the first TV set + Cost Price of the second TV set
= 10,000 + 10,000
= 20,000
Total Selling Price = Selling Price of the first TV set + Selling Price of the second TV set
= 11,000 + 9,000
= 20,000
Now, we can compare the Total Cost Price and Total Selling Price:
If Total Selling Price > Total Cost Price, it means the shopkeeper made an overall profit.
If Total Selling Price < Total Cost Price, it means the shopkeeper made an overall loss.
If Total Selling Price = Total Cost Price, it means the shopkeeper made neither a profit nor a loss.
In this case, the Total Selling Price (20,000) is equal to the Total Cost Price (20,000). Therefore, the shopkeeper made neither a profit nor a loss.