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Q.

For a trader, the market price of a refrigerator is Rs. 15,680 inclusive of GST at the rate of Question Image on the market price. Gagan, a customer for this refrigerator, asks the trader to reduce the market price of the refrigerator to such an extent that its reduced price plus GST on it is equal to the market price of the refrigerator. Find the required reduction: 


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a

Rs. 1500

b

Rs. 1600

c

Rs. 1550

d

Rs. 1650 

answer is A.

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Detailed Solution

Concept: First, assume that the initial market price of the refrigerator is x. Now find the value of x  using the information given in the question that the sum of Question Image of x and  GST equals Rs. 15680. Now that we have found the value of x,
We assume that the reduced mark price of the refrigerator will be y. Now find the value of y  using the information given in the question that the sum of Question Image of y and  GST is equal to x. After finding the value of y,  find the value of Question Image that corresponds to the required reduction in the price of the refrigerator.
Given, Question Image GST is applied and the price is Rs. It's 15680. Therefore, the sum of the market price and GST is equal to Rs. 15680.
Question ImageRs. 14000 is the initial market price.
Given, The sum of the discounted price and its 12% GST  is equal to the initial market price of the refrigerator. Therefore, we  get the following equation:
Question ImageFrom equation (i) substitute the value of x in equation (ii)
Question ImageTo find we reduction we need to subtract initial market price with reduced price
Question ImageHence, the correct answer is option (1)
 
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