The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
A) Rs. 2000 B) Rs. 2200 C) Rs. 2400 D) Data inadequate
Answers
Answer:Let C.P. be Rs. x.
Then,= >1920−xx*100=x−1280x*100
=> 1920 - x = x - 1280
=> 2x = 3200
=> x = 1600
Required S.P. = 125% of Rs. 1600 =Rs(125/100*1600) = Rs2000
Answer:
A) Rs.2000
Given:
Profit% earned by selling an article for Rs.1920 is equal to loss% earned by selling the same article for Rs.1280.
To find:
At what price should the article be sold to make 25% profit.
Solution:
Let the C.P of the article be Rs.X
Profit% by selling it at Rs.1920 = 1920-x/x × 100
Loss% by selling it at Rs.1280 = x-1280/x × 100
Now, 1920-x/x × 100 = x-1280/x × 100
=> 1920-x = x-1280×x×100/x×100
=> 1920-x = x-1280
=> 1920+1280 = x+x
=> 2x = 3200
=> x = 3200/2
=> x = 1600.
Hence, C.P of the article is Rs.1600.
Now, given that profit to be earned = 25%.
S.P = 1600 + 1600 × 25/100
=> 1600+400
=> Rs.2000
Hence, the price at which it should be sold to earn 25% profit is A) Rs.2000.