A person sold a table at a gain of 15%. Had he bought it for 25% less and sold it for * 60 less, he would have made a profit of 32%. The cost price of table was?
Answers
Step-by-step explanation:
Description for Correct answer:
Let the cost price of table = Rs.x.
Then, selling price with 15% gain
= (100+Gain%)×CP100(100+Gain%)×CP100
= (100+15)%×CP100(100+15)%×CP100
= 115×x100=Rs.115x100115×x100=Rs.115x100
New CP = (100−25%)×CP100=Rs.75x100(100−25%)×CP100=Rs.75x100
New SP = Rs.(115x100)−60Rs.(115x100)−60
Now, according to the question,
(115x100−60)−75x10075x100×100=32(115x100−60)−75x10075x100×100=32
115x−6000−75x10075x100×100=32115x−6000−75x10075x100×100=32
40x−600075x×100=3240x−600075x×100=32
40x−60003x×4=3240x−60003x×4=32
160x - 24000 = 96x
160x - 96x = 24000
64x = 24000
x = Rs.375
The cost price of table is Rs.375.
Let the cost price of table = Rs.x.
Then, selling price with 15% gain
= (100+Gain%)×CP100
= (100+15)%×CP100
= 115×x100=Rs.115x100
New CP = (100−25%)×CP100=Rs.75x100
New SP = Rs.(115x100)−60
Now, according to the question,
(115x100−60)−75x10075x100×100=32
115x−6000−75x10075x100×100=32
40x−600075x×100=32
40x−60003x×4=32
160x - 24000 = 96x
160x - 96x = 24000
64x = 24000
x = Rs.375
The cost price of table is Rs.375.