Answer : Option D
Explanation :
ATQ,
A shopkeeper purchases an article at the rate of 2 for rupees 3, and again purchase twice of the quantity at the rate of 3 for rupees 2 and the selling price of the all articles is 6 for rupees 7.
Here, the total articles are purchased in 2 times.
i.e., Article price
C.P 1 = 2 3
C.P 2 = 3 2
But the shopkeeper purchases double articles the second time.
That means C.P 2 = 2 * C.P 1
So we should make the C.P 2 article's cost price as double as C.P 1
To satisfy the condition, we need to multiply the C.P 1 with 3 and C.P 2 with 4. The change made in Articles should also be performed at their price to calculate the % profit or loss.
i.e., Article price
C.P 1 = 3* 2 = 6 3* 3 = 9
C.P 2 = 4* 3 = 12 4* 2 = 8
Now, we can see that C.P 2's article = 2 * C.P 1's article
Now, total article purchased by shopkeeper C.P = C.P 1 + C.P 2 = 18 at rupees 17
i.e., Article price
C.P = 18 17
S.P = 6 7
Note: the article should always be equal in S.P and C.P.
To make it equal, multiply S.P with 3 and the change should also be made in the price.
i.e., Article price
C.P = 18 17
S.P = 3*6=18 3* 7 = 21
The difference between the price of C.P and S.P is 21-17 = 4
Now, apply % formula.
Profit or Loss % = ((difference between C.P and S.P)/ C.P) * 100
Here C.P = 17, and S.P = 21. Selling price is more than cost price.
So, Profit % = (4/17) * 100 = 23.52%
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