A bicycle dealer allows 10% discount and still makes profit of 20% on his bicycle.if the total profit he makes is Rs 150,find the list price of the bicycle

Profit = SP - CP

Let the list price of bicycle be x.

Discount = 10%

S.P = 90 / 100 * x = 9x /10

Still makes a profit of 20% = 100 / 120 * 9x/10

= 5/6 * 9x / 10

C.P = 3x/4

9x / 10 - 3x / 4 = 150

18x/20 - 15x/ 20 = 150

3x / 20 = 150

x = (150 * 20) / 3

x = 1000

Therefore list price is Rs 1000

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