Question

The price of two articles are in the ratio 4:5. If the price of the first article is increased by x% and that of the other is decreased by 30%, then new prices of
A and B will be in the ratio 10:7. The value of x is:​

Answer 1

Answer

If Cps are 4x and 5x and sp are 5y and 6y, then

5y-4x = 4x/2

5y=6x

y= x*6/5= 1.2x

Ratio of profits = (5y-4x)/(6y-5x)= (6x-4x)/(7.2x- 5x)= 2/2.2 = 20/22 = 10/11

Answer 2

The value of x is 25.

Step-by-step explanation:

Since we have given that

Ratio of prices of two articles = 4:5

Price of first article is increased by x%.

Price of second article is decreased by 30%.

So, the new prices of A and B will be ratio of 10:7.

According to question, we get that

$\dfrac{4\times 100+x}{5\times 100-30}=\dfrac{10}{7}\\\\\dfrac{400+4x}{5\times 70}=\dfrac{10}{7}\\\\7(400+4x)=10\times 5\times 70\\\\2800+28x=3500\\\\28x=3500-2800\\\\28x=700\\\\x=\dfrac{700}{28}\\\\x=25$

Hence, the value of x is 25.

# learn more:

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