Ritu bought a saree for Rs.60x and sold it for Rs.(500+4x) at a loss of x%. Find the cost price.
Answers
Answer:
Cost price = rs 600 or rs 5000
Step-by-step explanation:
Buying price = 60x
Selling price = 500 + 4x
Loss = x% of buying price.
∴Loss = (x) × (60x) / 100
∴ Loss = 0.6x² ..... (1)
We can calculate the loss prom sell and buy, as,
Loss = Buying Price - selling price. (as buying price is more)
∴ Loss = 60x - (500+4x) = 56x - 500 ...... (2)
Equating equation 1 and 2, we get
0.6x² = 56x - 500
∴ 0.6x² - 56x + 5000 = 0
Solving the equation for x
multiplying by 10 to the whole equation,
∴ 6x² - 560x + 5000 = 0
∴ 6x² - 60x - 500x + 5000 = 0
∴ 6x(x - 10) - 500(x - 10) = 0
∴ (x-10) × (6x-500) = 0
Therefor,
x-10 = 0 or 6x-500 = 0
∴x = 10
or
x = (500/6)
Therefore - cost price = 60x = 600 or 5000
Cost price = rs. 600 or rs. 5000
Step-by-step explanation:
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