Santosh must sell the remaining dotpens with a surplus of 40 % to gain 10 % on the whole.
How to calculate the gain of selling dotpens
We know that Santosh sold 200 dotpens with a loss of 5 % and he must sell the remaining dotpens with an unknown surplus in order to obtain 10 % of the whole. The situation can be represented by the following expression:
[tex]-0.05\cdot (\frac{4500}{300} )\cdot (200) + x\cdot \left(\frac{4500}{300} \right)\cdot (100) = 0.10\cdot (4500)[/tex] (1)
[tex]-150+1500\cdot x =450[/tex]
[tex]x = 0.4[/tex]
Santosh must sell the remaining dotpens with a surplus of 40 % to gain 10 % on the whole. [tex]\blacksquare[/tex]
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