A retailer allowed 12% discount and sold a T-shirt at lose of Rs 10. But if it sold it at 10% discount he would have gained Rs 20 For what price did he purchase the T-shirt?
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Answer:
Step-by-step explanation:
Let the Marked Price of T shirt be Rs x
Discount 12%
SP = ,88x/100
Loss Rs 16
CP = 88x/100 + 16 …(1)
Now new discount 10% on MP x
New SP 90x/100
Profit Rs 20
CP 90x/100 - 20. …(2)
From (1) and (2) above, we get
88x/100 + 16 = 90x/100 - 20
88x + 1600 = 90x - 2000
2x = 3600
X = 1800 ( MP is Rs 1800)
Putting the value of X in (1) above, we get
CP = 88/100 * 1800 + 16
or 1584 + 16
or 1600
Ans. CP is Rs 1600
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