Question

The cost of 9 articles is equal to the selling price of 11 articles . Find the loss percentage?? Solve ??

Answer 1

If cp of 9 articles = SP of 11 articles
Therefore loss = ₹2
Loss percentage
= 18 2/11 ℅

Answer 2

$\bold{A.T.Q}$

⇒ CP of 9 Articles = SP of 11 Articles

⇒ CP × 9 = SP × 11

⇒ CP / SP = 11 / 9

= CP = 11 and, SP = 9

Loss percentage =

⇒ Loss% = Loss /CP × 100

⇒ Loss% = (CP - SP) /CP × 100

Putting the Values,

⇒ Loss% = (11 - 9) /11 × 100

⇒ Loss% = (2 × 100) /11

⇒ Loss% = 200 /11

⇒ Loss% = 18.18%

∴ Total Loss on the Transaction is 18.18%

$\huge{\sf{\boxed{\boxed{Verification:-}}}}$

SP = CP × (100 - loss%) /100

Using the Values,

9 = 11 × (100 - 200) /11 × 1 /100

9 = 11 × (1100 - 200) /11 × 1 /100

9 = 11 × 900 /11 × 1 /100

9 = 9 Hence, verified.