by selling a grocery's item for rs 249.75 a kg a peofit of 12 1/2% is made 1= find the cost price 2= what should the selling price be to get a profit of 25%
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1) The cost price is Rs 222
2) The selling price to get a profit of 25% is Rs 277.50
Let the Cost Price of the grocery item be Rs x.
(1)
After a profit of 12 1/2%(25/2%), the selling price was Rs 249.75
So, after a profit of 25/2% on Rs x, the SP would be
SP = (100+Profit)% of CP
= (100 + 25/2)% of Rs x
= 225/2% of Rs x
= Rs 1.125x
This is equal to Rs 249.75
So, 1.125x = 249.75
⇒x = 249.75/1.125
= Rs 222
(2)
To get a profit of 25%,
SP = (100+25)% of cp
= 125% of Rs 222
= Rs (1.25*222)
= Rs 277.50
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