Question

Reenu sold an article at a loss of 40%. If the selling price had been increased by Rs.200, there would have been a gain of 10%. The cost price of the article was​

Answer 1

Answer:

For the first situation,

Loss % =

C.P.

C.P.−S.P.

×100=8

=>C.P.−S.P.=0.08C.P.

=>S.P.=0.92C.P --- (1)

For the second situation, Selling price = Selling price of 1st situation +Rs36

And Cost price is 10 % less or 90 % of C.P. =0.9C.P.

So, Profit % =

C.P.

S.P.−C.P.

×100=20

=>

0.9C.P.

(S.P.+36)−0.9C.P.

×100=20

=>(S.P.+36)−0.9C.P.=0.18C.P.

=>S.P.=1.08C.P−36 --- (2)

From, equations 1, 2

0.92C.P.=1.08C.P−36

=>0.16C.P.=36

C.P.=Rs225

Thus, cost price of the article =Rs225

Answer 2

Given: loss percent of the article$=40\%$, selling price is increased by 200, gain percent of the article after the SP is increased by Rs. 200$=10\%$.

To find: cost price of the article.

Solution:

Let the C.P. of article be Rs. x.

$\[\begin{array}{l}110\% \,\,of\,\,x - 60\% \,\,\,of\,\,x = 200\\ \Rightarrow 50\% \,\,of\,\,x = 200\end{array}\]$

$\[ \Rightarrow \frac{{50}}{{100}} \times x = 200\]$

$\[ \Rightarrow x = \frac{{200 \times 100}}{{50}}\]$

$\[ \Rightarrow x = Rs.400\]$

Hence, the cost price of the article is Rs. 400.