Question

The SP of each of the two articles is Rs 9900.One article is sold at 10% profit and another one is sold at 10% loss.Find the overall profit or loss percent.​

Answer 1

Given

• The SP of each of the two articles is Rs 9900.One article is sold at 10% profit and another one is sold at 10% loss.

To find

• the overall profit or loss percent

Solution

Given , SP → 9900

and profit earned → 10 %

To find , CP

★ Formula Used

CP → SP × 100 / 100 + profit

So , CP →

⇒ 9900 × 100 / 100 + 10

⇒ 9900 × 100 / 110

⇒ 90 × 100

⇒ 9000 rs

So , the CP of the article sold on profit of 10 % is 9000 rs

Now , finding the CP of the article sold on loss of 10 %

★ Formula Used

CP → SP × 100 / 100 - loss

Therefore , CP →

⇒ 9900 × 100 / 100 - 10

⇒ 9900 × 100 / 90

⇒ 110 × 100

⇒ 11000 rs

So , the CP of the article sold on loss of 10 % is 11000 rs

Total SP → 9900 × 2 = 19800

Total CP → 11000 + 9000 = 20000

Therefore , here we get the loss of

= 20000 - 19800 → 200 rs

Overall loss % = 200 / 20000 × 100 = 1 %

Hence , the overall loss % is 1