Question

jayesh sold his CDs to music shop at the profit of 25%. The shopkeeper sold it to customer at the profit of 20%. If customer paid Rs. 75 per CD. find the cost price of CD.​

Answer 1

Answer:

Rs. 60

Step-by-step explanation:

let Cost Price of CD for Jayesh be x

then,

S.P. for Jayesh = x+ x/4= 5x/4 = C.P. for Shopkeeper

S.P. for Shopkeeper = (5x/4) + (5x/4)/5

$=\frac{5x}{4} + \frac{\frac{5x}{4}}{5} \\= \frac{5x}{4} + \frac{4}{25x}\\= \frac{125x^{2} +16}{100x} = 75\\=7500x = 125x^{2} +16$

125x²-7500x+16 = 0

Solving for x by quadratic equation formula for positive value

x = 59.9978665908 = 60 (approx.)

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