Question

If one thing sold in 400 rupees then he got profit.and when ho sold in 500 rupees then he got 5 times more of that profit.what is the c.p?

Answer 1

Cost price is 100

1st selling price = 400 with profit.
2nd selling price = 500 with profit.

Answer 2

one thing sold in 400 rupees then he got profit
let Cost price be CP
profit be P
CP + P = 400
P = 400 - CP............(1)

same thing sold in 500 rupees then he got 5 times that profit
then CP + 5P = 500..........(2)

substitute (1) in (2)
CP + 5(400 - CP) = 500
CP + 2000 - 5CP = 500
-4CP = 500 - 2000
-4CP = -1500
CP = 1500/4
CP = 375

so the cost price was 375
Profit of 400 rupees was 400 - 375 = 25 rupees

Profit of 500 rupees was 500 - 375 = 125 which 5 times of 25 rupees profit

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