Question

a shopkeeper sells two watches each of rupees 990,one at 10% profit and another at 10% loss. in whole what did shopkeeper get ( profit,,,, loss,, no profit and no loss,,,,,, cannot be determined​

Answer 1

Answer:

No profit or loss

Step-by-step explanation:

Cp of watch 1: 990

Profit:10%

SP=990+10%(990) =1089

Cp of watch 2=990

loss =10%*990=99

SP=891

Total cost price =1980

Total SP = 1089+891=1980

Since CP=SP, no profit or loss

Answer 2

Given:

A shopkeeper sells two watches each of rupees 990,one at 10% profit and another at 10% loss.

Solution:

Assume that the CP of article sold at 10% profit is $x$,

$\[\begin{array}{l}x \times \frac{{110}}{{100}} = 990\\ \Rightarrow x = 9 \times 100\\ \Rightarrow x = 900\end{array}\]$

Assume that the CP of article sold at 10% loss is $y$,

$\[\begin{array}{l}y \times \frac{{90}}{{100}} = 990\\ \Rightarrow y = 11 \times 100\\ \Rightarrow y = 1100\end{array}\]$

Calculate the total CP,

$\[\begin{array}{l} = 900 + 1100\\ = 2000\end{array}\]$

Calculate the total SP,

$\[\begin{array}{l} = 990 + 990\\ = 1980\end{array}\]$

Hence, in this deal the shopkeeper get a loss of 20 rupees