Question

A man sells an article at 5% above its cost price. If he had bought it at 5% less and sold it at 2rupees less,he would have gained 10%. Find the cost price of the article

Answer 1

let c.p1 =100

sell at 5% above c.p so

s.p1=105

next if he had bought it at 5% less than

c.p2 =95 then he would gained 10%

s.p2=110/100*95=104.5

from s.p1 to s.p2 difference is 0.5% ........2

100%........?

100*2/0.5=400

Hope so helped you

Answer 2

The cost price of the article is Rs. 19.51.

Step-by-step explanation:

Since we have given that

A man sells an article at 5% above its cost price.

Let the cost price be 'x'.

If he had bought it at 5% less and sold it at 2rupees less,he would have gained 10%.

So, it becomes,

$\dfrac{110}{100}x-\dfrac{105}{100}\times \dfrac{95}{100}x=2\\\\\dfrac{110\times 100-105\times 95x}{10000}=2\\\\\dfrac{11000x-9975x}{10000}=2\\\\\dfrac{1025}{10000}x=2\\\\x=\dfrac{2\times 10000}{1025}\\\\x=19.51$

Hence, the cost price of the article is Rs. 19.51.

# learn more:

A person bought some articles at the rate of 4 per rupe. He mixed both the types and sold at the rate of 9 for 2rupees. In this business he suffered a loss of rs3. The total number of articles bought by him was

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