Two watches were sold at the same price. One was sold at 10 % profit and the other was sold at 10 % loss. Find the overall profit/loss percentage made in the transaction.

Question

Two watches were sold at the same price. One was sold at 10 % profit and the other was sold at 10 % loss. Find the overall profit/loss percentage made in the transaction. (A) 1 % profit (B) 1 % loss (C) 2 % profit (D) 2 % loss

Tardigrade Admin · Accepted Answer

Let the selling price of each watch be â¹ 100. Let us call the watches, which are sold at profit and at loss by Watch 1 and Watch 2, respectively. Let the cost prices of Watch 1 and Watch 2 be â¹ x and â¹ &gamma;, respectively. ∴ x+(10/100) x=100 x=(1000/11) &gamma;-(10/100) &gamma;=100 ⇒ &gamma;=(1000/9) text Total cost price (in â¹)=x+&gamma;=(20,000/99) text Total selling price =â¹ 200 text Total cost price > text Total selling price text Overall loss (in â¹ text ) =(20,000/99)-200=â¹ (200/99) ∴ text Overall loss percentage =((200/99)/(20,000)99) text (100) % 1 %

Q. Two watches were sold at the same price. One was sold at $10%$ profit and the other was sold at $10%$ loss. Find the overall profit/loss percentage made in the transaction.

$1%$ profit

$1%$ loss

$2%$ profit

$2%$ loss

Q. Two watches were sold at the same price. One was sold at 10% profit and the other was sold at 10% loss. Find the overall profit/loss percentage made in the transaction.

1% profit

1% loss

2% profit

2% loss

Q. Two watches were sold at the same price. One was sold at $10%$ profit and the other was sold at $10%$ loss. Find the overall profit/loss percentage made in the transaction.

$1%$ profit

$1%$ loss

$2%$ profit

$2%$ loss