Question

the cost price of 9 articles to the selling price of 11 articles. then the loss percentage is:​

Answer 1

Given:

• Cost Price (C.P.) of 9 articles = Selling Price (S.P.) of 11 articles

To find:

• Loss percentage

Solution:

Let the C.P. of 1 article be ₹1.

C.P. of 9 articles = ₹9

Now, we are given that,

Cost Price (C.P.) of 9 articles = Selling Price (S.P.) of 11 articles

Therefore,

S.P. of 11 articles = ₹9

S.P. of 1 article = ₹$\sf \dfrac {9}{11}$

S.P. of 9 articles = ₹$\sf \dfrac {9}{11} \times 9$

= ₹7.36

Clearly,

S.P. (₹7.36) < C.P. (₹9)

Therefore it is loss.

We know that,

$\boxed {\sf {\pink {Loss = C.P. - S.P.}}}$

Loss = ₹(9-7.36)

Loss = ₹1.64

Now,

$\boxed {\sf {\blue {Loss \% = \dfrac {Loss}{C.P.} \times 100 \%}}}$

$\sf {Loss \% = \dfrac {1.64}{9} \times 100}$

$\bigstar {\bf {\green {Loss \% = 18.2 \%}}}$

Loss percentage:

Loss percentage on the entire transaction is 18.2%.