Rohan sells two articles. The cost price of the first article is equal...
Let cost price of First article be Rs. X
Profit % = 40%
So, Selling price = x + 40% of x = x + 0.4x = 1.4x = 7x/5
And, Selling price of second article = Rs. x
Loss % = 40%
Cost price = Selling price + loss % of cost price
⇒ (1 - loss%) cost price = selling price
⇒ (1 - 0.4)Cost price = x
⇒ 0.6 cost price = x
⇒ Cost price = x/0.6 = 5x/3
∴ Required ratio = (7x/5) ∶ (5x/3) = 21 ∶ 25
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Rohan sells two articles. The cost price of the first article is equal...
To solve this question, let's assume the cost price of the first article is 'x'.
Given that the selling price of the first article is at a profit of 40%, we can calculate the selling price of the first article as follows:
Selling price of the first article = Cost price of the first article + Profit
Profit = (40/100) * Cost price of the first article = (40/100) * x = 0.4x
Therefore, the selling price of the first article = x + 0.4x = 1.4x
Now, let's assume the cost price of the second article is 'y'.
Given that the selling price of the second article is at a loss of 40%, we can calculate the selling price of the second article as follows:
Selling price of the second article = Cost price of the second article - Loss
Loss = (40/100) * Cost price of the second article = (40/100) * y = 0.4y
Therefore, the selling price of the second article = y - 0.4y = 0.6y
To find the ratio of the selling price of the first article to the cost price of the second article, we divide the selling price of the first article by the cost price of the second article:
Ratio = Selling price of the first article / Cost price of the second article
= 1.4x / y
We can see that the ratio depends on the values of 'x' and 'y'. However, since the options given do not include any variables, we need to find a way to eliminate the variables.
Let's consider a scenario where the cost price of the first article is equal to the selling price of the second article. In this case, we can equate x = 0.6y.
Now, substitute this value of x in the ratio equation:
Ratio = 1.4x / y
= 1.4(0.6y) / y
= 0.84y / y
= 0.84
The ratio is 0.84 or 21/25.
Therefore, the correct answer is option A) 21 : 25.
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