Question 37

Last year Mr. A bought two paintings. This year he sold them for Rs, 20,000 each. On one, he made a 25% profit and on the other he had a 25% loss.Then his net profit or loss is

Solution

SP of each painting = 20000

profit on 1st painting = 25%

loss on 2nd painting = 25%

CP + profit = SP 

profit =$$\frac{profit percentage}{100}\times$$CP

CP +$$\frac{1}{4}$$CP = SP

$$\frac{5}{4}$$CP = SP { SP =20000}

CP = $$\frac{4}{5} \times$$20000 = 16000

CP - loss = SP

loss = $$\frac{loss percentage}{100}\times$$CP

CP -$$\frac{1}{4}$$CP = SP

$$\frac{3}{4}$$CP = SP { SP =20000}

CP = $$\frac{4}{3} \times$$20000 = 26666.66

Total CP = 16000+26666.66 = 42666.66

total SP = 20000+20000 = 40000

loss = 42666.66 - 40000 = 2666.66

$$\therefore$$ loss is more than 2000


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