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# Find Cost Price ( x std Algebra) : Maharashtra board

Venkatesan Iyer
07/05/2020 0 0

Mahashtra Board X std Algebra (year 2020)

A dealer sells a toy for Rs 24 and gains as much percent as the cost price of the toy.

Find the cost price of the toy.

Solution:

SP selling price

CP cost price

p profit percentage

SP= CP(1+p%)

Let CP = Rs x

profit percentage = x

SP =Rs 24 (given)

24 = x(1+x%)

24= x(1+(x/100))

24= x(100+x)/100

2400= 100x+x^2

x^2+100x-2400=0

Factorising:

x^2+120x-20x+2400=0

(x-20)(x+120)=0

x=20 or x=-120 ( negative price not applicable)

Ans : cost price = Rs 20.

SP=CP(1+p%)

SP=20(1+20%)

SP=20(1.2)=24

SP =Rs 24

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