Question

a golden chain is sold for 63500 at profit of 27%. find the value of profit​

Answer 1

Answer:

the answer is 13,500

Step-by-step explanation:

Gold chain is sold for Rs 63500

therefore the selling price (SP) of the gold chain is Rs 63500

Profit % is given as 27%

Let the cost price of the gold chain be x

CP = x

Profit % =

$\frac{Profit }{cost \: price} \times 100$

Profit = Selling price - Cost Price

= 63500-x

Now putting the values in profit % formula

Profit % =

$\frac{Profit }{cost \: price} \times 100 \\ 27 = \frac{63500 - x}{x} \times 100 \\ 27x = (63500 - x )\times 100 \\ \frac{27x}{100} = 63500 - x \\ \frac{27x}{100} + x = 63500 \\ \frac{27x + 100x}{100} = 63500 \\ \frac{127x}{100} = 63500 \\ 127x = 6350000 \\ x = \frac{6350000}{127} = 50000$

therefore the cost price of the gold chain is Rs 50000

Profit = SP - CP

= 63500 - 50000

= 13500