Question

Harsh sold a cycle for 8% gain. Had he sold it for rupees 75 more ,the gain would have been 14%. Find cp

Answer 1

here is the answer for your question


Let the cost price of the bicycle be " Rs X "
Profit = 8 %

= x × 8/100

= 2x/25

Selling price = cost price + profit

= x + 2x /25

= 25x + 2x/25

= 27x/25

So the selling price is " Rs 27x/25 "

Of it had been sold for Rs 75 more the gain would have been 14 %

Selling price = 27x/25 + 75

But

Profit = 14%

= x × 14/100

= 7x/50

Selling price = cost price + profit

= x + 7x/50

= 57x/50

So

27x/25 + 75 = 57x/50

》57x/50 - 27x/25 = 75

》57x - 54x/50 = 75

》3x/50 = 75

》3x = 75 × 50

》x = 75 × 50/3

》x = 25 × 50

》x = 1250

So the cost price of the bicycle is " Rs 1250 "