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प्रश्न
For a trader, the marked price of a refrigerator = ₹ 15680 exclusive of GST (GST is 12%). Gagan, a customer for this refrigerator, asks the trader to reduce the price of the refrigerator to such an extent that its reduced price plus GST is equal to the marked price of the refrigerator. Find the required reduction.
उत्तर
Let the marked price be ₹ x.
x + 12% of x = 15680
x + `(12 x)/100` = 15680
`(100 x + 12 x)/100` = 15680
`(112 x)/100` = 15680
x = `(15680)/112 xx 100`
x = ₹ 14000
Initial marked price = ₹ 14000
∴ Marked price of refrigerator excluding
GST = ₹ 14000
Let the reduced price = ₹ x
Then reduced price + GST = Marked Price
∴ x + 12% of x = ₹ 14000
⇒ `(112x)/100`
⇒ ₹ 14000
⇒ x = ₹` (14000 xx 100/112)`
= ₹ 12500
∴ Required reduction is given by the trader
= ₹ (14000 - 12500)
= ₹ 1500
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