CP of 1 article = Rs.8/10 = Rs. 4/5
SP of 1 article = Rs. 10/8 = Rs. 5/4
SP/CP = 25/16 = 1.5625
Hence profit% = 56.25
Total investment = Total CP
Let the CP of 1 egg = C
Then total CP = 200C
Total eggs left = 200 – 38 = 162 eggs = 162/12 dozen
Total SP = (162/12)*4.8 = Rs. 64.8
f = 1.08
Hence CP = 64.8/1.08 = Rs. 60
This question appeared in Tier-2 2014 and is one of the trickiest question asked by SSC from this topic. So much so that many question banks haven’t published its solution. Although if your concepts are clear, then there is nothing tricky here.
Let the fruit-seller buys 100 oranges
Now, he has sold the oranges in two parts. First he sold 40 oranges and then he sold 48 (80% of 60) oranges.
Total SP = (SP of 40 oranges) + (SP of 48 oranges)
Given, SP of 40 oranges = CP of 100 oranges
40S = 100C (where S = SP of 1 orange and C = CP of 1 orange)
S/C = 2.5
f = 2.5 and hence Profit = 150%
He sold 80% of remaining oranges at half the previous rate of profit.
That means he sold 48 oranges at 75% profit.
CP of 48 oranges = 48C
f = 1.75
SP of 48 oranges = 1.75*48C = 84C
Total SP = (SP of 40 oranges) + (SP of 48 oranges) = 100C + 84C = 184C
Total CP = 100C
f = SP/CP = 184C/100C = 1.84
Hence profit = 84%
If you have any doubt in this article, please drop a comment…
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