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Akhileshwar Sambyal

· started a discussion

· 1 Months ago

profit% = (profit/investment)*100 (Question: 114799.0 )

profit = 4xSP
investment= 20xCP
let us assume selling price is twice that of cost price
therefore profit = (4x2/20x1)*100 = 40%
hence none of these is the right answer

Question:

By selling 20 metres of cloth, a man gains the selling price of 4 metres of cloth. The gain percent is:

Options:
A) 20%
B) 25%
C) 30%
D) 35%
E) 45%
Solution:
Ans: (b)

% profit  = \(\cfrac{4}{16}\times 100=25\)% 


Alternate Solution:


SP of 20m – CP of 20m = Gain = SP of 4m

Therefore, SP of (20-4=16 m)=CP of 20m

Let CP of each meter be Rs.1 then CP of 16m = Rs.16

SP of 16m = Rs.20

So, Gain% =(4/16)*100=25%

Knowledge Expert

· commented

· 1 Months ago

SP of 20m – CP of 20m = Gain = SP of 4m

Therefore, SP of (20-4=16 m)=CP of 20m

Let CP of each meter be Rs.1 then CP of 16m = Rs.16

SP of 16m = Rs.20

So, Gain% =(4/16)*100=25%
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