Question

An article was sold at a profit of 12%. If the cost price would be 10% less and selling price would be Rs. 5.75 more, there
would be profit of 30%. Then at what price it should be sold to make a profit of 20%?

Answer 1

Solution -

Let the original cost price (CP) of an article be Rs x

selling price (SP) is at 12% profit

SP = x + 12% of x               ---------------------as SP = P + CP

SP = x + 0.12x = 1.12 x

If the CP is 10% less

Then, New CP = x - 10% of x
                        = x - 10x/100
                        = x - 0.1x
                        = 0.9x
Therefore New SP = 1.12x + 5.75 and given profit = 30%

Therefore,

30/100 = (1.12x + 5.75 - 0.9x) / 0.9x ------------------as %P = (SP - CP)/CP

0.3 * 0.9x = 0.22x + 5.75

0.27x = 0.22x + 5.75

0.27x - 0.22x = 5.75

0.05x = 5.75

x =  5.75/0.05 = 115

Original cost price of an article is Rs 115.

If there is a profit of 20% while selling an article,

Then,

%P = (SP - CP)/CP

  20/100 = (SP - 115)/115

0.2 * 115 = SP - 115

23 = SP - 115

SP = 115 + 23 = Rs 138

Answer - the selling price of an article at 20% profit is Rs 138.