6. a) it Aman incurs a loss of 20% by selling an article for Rs. 1000/- at what price should he
sell it to make a profit of 16%
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Given :
Aman incurs a loss of 20% by selling an article for Rs. 1000/-
To find :
what price should he sell it to make a profit of 16%
Solution :
First case:
SP= Rs 1000 and loss = 20%, i.e. r = 20.
Now, SP = (1 - r/100)cp or Rs 1000
= (1 - 20/100)cp
So, CP = 4/5 x Rs 1000
= Rs 1250.
Second case:
Profit = 16% of CP
= 16% of Rs 1250
= 16/100 x Rs1250
= Rs 200.
SP = CP + profit
= Rs 1250 + Rs 200
= Rs 1450.
=> Hence, he should sell the article for Rs 1450 for a profit of 16%.
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