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Question
Renu sold an article at a loss of 8 percent. Had she bought it at 10% less and sold for Rs.36 more; she would have gained 20%. Find the cost price of the article.
Solution
Let C.P. of the article = Rs.100
In the I case :
When loss = 8%
S.P. = Rs. (100 − 8) = Rs.92
In the II case :
C.P. =`(100-10/100xx100)`
= Rs.(100 − 10) = Rs.90
Profit = 20%
S.P. =`(100+20)/100xx"C.P."`
`=120/100xx"Rs."90`
= Rs.12 × 9
= Rs.108
Difference of two selling prices
= Rs.108 − Rs.92 = Rs.16
If the difference between the two selling prices is Rs.16 then C.P. = Rs.100
If the difference between the two selling prices is Rs.1 then C.P. = Rs.` 100/16`
If the difference of two selling prcies is Rs.36 then C.P. = Rs. `100/16xx36`
= Rs.`(100xx36)/16`
= Rs.25 × 9
= Rs.225
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