a person sold a table at a gain of 15%. he had bought it for 25% less and sold it for 60 rupees less, he would have made a profit of 32%. the cost price of table was?
Answers
Cost Price of Table = Rs 375
Step-by-step explanation:
Let say Cost Price of Table = C Rs
15% Gain = (15/100)C = 0.15C Rs
Selling Price = C + 0.15C = 1.15C Rs
had bought it for 25% less
=> Cost Price = C - (25/100)C = 0.75C Rs
32 % Profit = (32/100)(0.75C) = 0.24C Rs
Selling Price = 0.75C + 0.24C = 0.99C Rs
sold it for 60 rupees less
=> 1.15C - 60 = 0.99C
=> 0.16C = 60
=> C = 375
Cost Price of Table = Rs 375
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Answer:
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.