Answered

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Santosh brought 300 dotpens for Rs 4500. He sold 200 of them at a loss of 5%. At what rate should he sell the remaining dotpens so as to gain 10% an the whole.

Sagot :

xero099

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]

To learn more on linear equations, we kindly invite to check this verified question: https://brainly.com/question/17058347

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