1.

A merchant purchases a wrist watch for `Rs 450` and fixes its list price in such a way that after allowing a discount of `10%`, he earns a profit of `20%`. Then the list price of the watch is

Answer» Let the list price of the wrist watch is `x` rupees.
As, the merchant had given a discount of `10%` to the list price,
`:.` Selling price ` = x**(100-10)/100 = 0.9x` Rs
Now, Cost price of the wrist watch `= 450` Rs
Profit ` = 20%`
`:. 450**(100+20)/100 = 0.9x`
`=>450**120/100 = 0.9x`
`=>540 = 0.9x`
`=> x = 540*10/9 = 600`
So, the list price of the watch is `600` Rs.


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