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The cost price of 30 articles is the same as the marked price of x articles. If the profit is 20%, then find the value of x.
Question

The cost price of 30 articles is the same as the marked price of x articles. If the profit is 20%, then find the value of x.

A.

25

B.

20

C.

35

D.

30

Correct option is A

Given:

Cost Price (CP) of 30 articles = Marked Price (MP) of x articles

Profit = 20%

Solution:

Let the cost price of 1 article = ₹1

Then,

Total CP of 30 articles = ₹30

SP of 1 article = ₹1 × 1.2 = ₹1.20

So, MP of 1 article = SP = ₹1.20

Now, Total MP of x articles = ₹30

x×1.20=30 x=301.2=25x \times 1.20 = 30 \\ \ \\ x = \frac{30}{1.2} = 25

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