Question

An article is sold at 10% profit. If its cost price
increased by ₹20 and the selling price is increased by₹
10, the profit would be 10/9%. Find the original cost
price.
​

Answer 1

Answer:

115

Step-by-step explanation:

Let previous CP= Rs X

then previous SP would be Rs 1.1x since 10% profit is gained.

Now as per question as cp is increased by Rs20,

new CP = x+20

similarly, new SP= 1.1x+10

In this new CP & SP condition profit % = 10/9.

profit= SP-CP

        =(1.1x+10)-(x+20)

        =0.1x-10

Profit % = profit*100/cp

⇒ 10/9 = (0.1x-10)*100/(x+20)

⇒ 1/9 = x-100/(x+20)

⇒ 9x-900 = x+20

⇒8x = 920

⇒x = 920/8

    =115

Hence the initial Cost Price should be 115.

Hope the solution is understandable.