An algebra problem by Chirag Dudheria
Algebra
Level
3
A shopkeeper sold a sofa at 8% gain. Had he purchased it for 5%less and sold it for Rs. 36 less than what he actually sold it for, he would have gained 12.5%. For how much did the man purchase the sofa set?
The answer is 3200.
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if he usually buy it for X
and usually sell it for X + . 0 8 X = 1 . 0 8 X
then he bought it for : 1 − . 0 5 X = 0 . 9 5 X
and sold it for : 1 . 0 8 X − 3 6
Just apply the equation : . 9 5 X 1 . 0 8 X − 3 6 − . 9 5 X = 1 0 0 1 2 . 5
then X = 3 2 0 0