Question

The price of an article is marked 25% above the cost price. If it is sold

at the profit of Rs 500 after allowing 15% discount what will be its
selling price?
(Ans: 10170)
​

Answer 1

Answer: 1250

Explanation:

1) The price of an article is marked 25% above the cost price.

SP = CP x 1.25

2) If it is sold at the profit of Rs 500 after allowing 15% discount

SP = CP x 0.85 + 500

SP = 0.85CP + 500

1.25CP = 0.85CP + 500

1.25CP - 0.85CP = 500

0.40CP = 500

CP = 500 / 0.4 = 1250

Answer 2

Rs 8500

solution,

Let C.P of article be X

`mp = x + (25)/(100) * x \\ \: \: \: \: = x + (25x)/(100) \\ = (x * 100 + 25x)/(100) \\ = (100x + 25x)/(100) \\ = (125x)/(100) \\ sp = mp - (15)/(100) * (125x)/(100) \\ \: \: \: \: = (125x)/(100) - (15x)/(80) \\ \: \: \: \: = (125 x* 4 - 15x * 5)/(400) \\ \: \: \: \: \: = (500x - 75x)/(400) \\ \: \: \: \: \: \: = (425x)/(400) \\ profit = sp - cp \\ or \: 500 = (425x)/(400) - x \\ or \: 500 = (425x - x * 400)/(400) \\ or \: 500 = (425x - 400x)/(400) \\ or \: 500 = (25x)/(400) \\ or \: 25x = 200000 \\ or \: x = (200000)/(25) \\ x = 8000 \\ again \\ \: selling \: price = (425x)/(400) \\ \: \: \: \: \: \: \: \: \: \: \: = (425 * 8000)/(400) \\ \: \: \: \: \: \: = (3400000)/(400) \\ \: \: \: \: \: \: = 8500`

hope this helps....

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