Which of the following is not a measure of central tendency ? *Mr. K. P. Singh went to a shop to buy a refrigerator at Rs.15680. The rate of CGST is 6%. He asks the shopkeeper to reduce the price of the refrigerator to such extent so that he has to pay at Rs. 15680 inclusive of GST. Find the reduction needed in the price of the refrigerator. *
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Answer:
For a trader, marked price of a refrigerator = Rs. 15,680 inclusive of GST at the rate of 12% on the marked price. Gagan, a customer for this refrigerator, asks the trader to reduce the marked price of the refrigerator to such extend that its reduced price plus GST on it is equal to marked price of the refrigerator
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SOLUTION
Let the marked price be Rs. x.
x + 12% of x = 15,680
1.12x = 15,680
x = Rs. 14,000
Initial marked price = Rs. 14,000 Let Gagan asked for priced reduction of Rs. y.
New price = 14,000-y
GST on new price = 12% of (14,000 - y)
According to the question,
14,000-y + 0.12(14,000 - y) = 14,000
-1.12y + 1680 = 0
y = 1500
Required reduction in price is Rs. 1500.
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