Question

A men sold his watch for Rs. 75 and got a percentage of profit equal to the cost price. The cost price of the watch is

Answer 1

Answer:

SP=75 CP=50

Step-by-step explanation:

Because SP-CP=PROFIT

If SP=75

Then

If CP=50

The answer comes

Answer 2

The cost price of the watch is is Rs 50

Solution:

Given that,

Selling price = Rs 75

Let cost price = x

Percentage of profit equal to the cost price

Therefore, profit percentage = x

$Profit\ percentage = \frac{SP - CP}{CP} \times 100 \\\\x = \frac{75-x}{x} \times 100 \\\\x^2 = 7500 - 100x\\\\x^2 + 100x - 7500 = 0\\\\\left(x-50\right)\left(x+150\right) = 0 \\\\x = 50\\\\x = -150$

Ignore negative value

Thus,

x = 50

Thus the cost price of the watch is is Rs 50

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