Answered

For the first question, it appears to be incomplete and lacks context. I will complete it and correct it as follows:

What percentage of gain should he aim for in selling the remaining articles so that his net gain is [tex]$8\%$[/tex]?

For the second question, here is the corrected version:

A shopkeeper would get ₹660 more if, instead of selling a table at a loss of [tex]$10\%$[/tex], he sells it at a gain of [tex]$10\%$[/tex]. Find the cost price (CP) of the table.



Answer :

GinnyAnswer
Let [tex]\( CP \)[/tex] be the cost price of the table.

1. When the table is sold at a loss of [tex]\( 10\% \)[/tex]:
The selling price (SP_loss) at [tex]\( 10\% \)[/tex] loss is calculated as:
[tex]\[ SP_{\text{loss}} = CP - \left( \frac{10}{100} \times CP \right) = CP - 0.1CP = 0.9CP \][/tex]

2. When the table is sold at a gain of [tex]\( 10\% \)[/tex]:
The selling price (SP_gain) at [tex]\( 10\% \)[/tex] gain is calculated as:
[tex]\[ SP_{\text{gain}} = CP + \left( \frac{10}{100} \times CP \right) = CP + 0.1CP = 1.1CP \][/tex]

3. According to the problem, the difference in selling prices when sold at a gain of [tex]\( 10\% \)[/tex] instead of a loss of [tex]\( 10\% \)[/tex] is ₹ 660. Thus:
[tex]\[ SP_{\text{gain}} - SP_{\text{loss}} = 660 \][/tex]

Substituting the values of [tex]\( SP_{\text{gain}} \)[/tex] and [tex]\( SP_{\text{loss}} \)[/tex] into the equation:
[tex]\[ 1.1CP - 0.9CP = 660 \][/tex]

4. Simplifying the equation:
[tex]\[ 0.2CP = 660 \][/tex]

5. Solving for [tex]\( CP \)[/tex]:
[tex]\[ CP = \frac{660}{0.2} = 3300 \][/tex]

Therefore, the cost price of the table is ₹ 3300.