A company declared 20 percent discount on its garments. Rakesh bought garments worth rupees 30000 after getting discount. Now he fixed the selling price of the garments in such a way that he got a profit of 15 percent on the marked price. Find the selling price of the garments.a)34000b)34225c)35625d)36000e)None of theseCorrect answer is option 'C'. Can you explain this answer?

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Answer

Problem:
A company declared a 20% discount on its garments. Rakesh bought garments worth rupees 30,000 after getting the discount. Now he fixed the selling price of the garments in such a way that he got a profit of 15% on the marked price. Find the selling price of the garments.

Solution:
To find the selling price of the garments, we need to follow these steps:

Step 1: Calculate the marked price of the garments
Let's assume the marked price of the garments is 'X' rupees.

The company declared a 20% discount, which means the selling price after discount would be 80% of the marked price.
So, the selling price after discount is 0.8X rupees.

Given that Rakesh bought the garments for 30,000 rupees after getting the discount, we can set up the equation:
0.8X = 30,000

Step 2: Calculate the profit percentage on the marked price
Rakesh wants to get a profit of 15% on the marked price.
So, the selling price of the garments should be 115% of the marked price.
Therefore, the selling price of the garments is 1.15X rupees.

Step 3: Calculate the value of X
Now we have two equations:
0.8X = 30,000 (from step 1)
1.15X = Selling price (from step 2)

We need to solve these equations to find the value of X.

Dividing the second equation by the first equation, we get:
(1.15X) / (0.8X) = Selling price / 30,000

Simplifying the equation, we have:
1.4375 = Selling price / 30,000

Multiplying both sides of the equation by 30,000, we get:
Selling price = 30,000 * 1.4375

Calculating the value, we find:
Selling price = 43,125 rupees

Conclusion:
The selling price of the garments is 43,125 rupees, which is option 'C'.

Answer

(80/100)*MP = 30000
MP = 37500, CP = 30000
Profit = (15/100)*37500 =5625
SP = 30000+5625 = 35625 rupee

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