Question

Solve it no. 2 plz solve it do it fast I need it now

Answer 1

Step-by-step explanation:

S.P. of the chair = ₹75

Assumption: Let the C.P. of the chair be ₹x and so, let the gain percent be x%.

Gain = x% of ₹x

= x/100 × ₹x

= x²/100

We know,

S.P. = C.P. + Gain

=> 75 = x + (x²/100)

=> 75 = (100x + x²)/100

=> 75 × 100 = x² + 100x

=> x² + 100x - 7500 = 0

=> x² - 50x + 150x - 7500 = 0

=> x(x - 50) + 150(x - 50) = 0

=> (x - 50) (x + 150) = 0

Either x - 50 = 0 Or x + 150 = 0

=> x = 50 => x = -150

But as x is a price, so it cannot be negative.

So, x = 50

Therefore,

C.P. of the chair is ₹50 and the Gain percent is 50%.

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