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please help in this question...!
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Let the cost price of the item be 'x'.
Given, gain = 5%
Selling price = 105x/100.
Now,
Given that selling price of an item is reduced by 50.
⇒ (105x/100) - 50
Given that there is a loss of 5%.
⇒ x * [(100 - 5)/100] = (105x/100) - 50
⇒ (95x/100) = (105x/100) - 50
⇒ 95x = 105x - 5000
⇒ 10x = 5000
⇒ x = 5000/10
⇒ x = 500.
Hence, cost price = 500.
Now,
Selling price = 105x/100
= 105(500)/100
= 52500/100
= 525.
Therefore, selling price of the item = 525.
Hope this helps!
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