Question

2 cycles were bought at the same cost .1 was sold at the profit of 15% and another was sold at a loss of 10%.If the difference in selling price is Rs.200 , find the cost of the cycles.

Answer 1

Answer:

let x be the cost of cycle

Step-by-step explanation:

SP = CP + Profit or SP = CP - Loss

profit = 15% of CP

15/100 * x

profit = 3x/20

SP₁ = x + 3x/20

SP₁ = 23x /20

loss = 10 % of CP

10/100 * x

loss = x/10

SP₂ = x - x/10

SP₂ = 9x/10

given that

SP₁ - SP₂ = 200

∴  23x/20 - 9x/10 = 200

23x - 18x/20 = 200

5x/20 = 200

x = 800 = cost of cycle