Question

A dealer sells a car at aloss of 10%. Had he sold it for Rs 12000 more , he would have made a profit of 5%. Find the cost price of the car?

Answer 1

let the cost price of car = x
x × (100-10)/100 + 12000 = x × (100+5)/100
$x \: \times \: 90 \div 100 + 12000 \: = x \: \times 105 \div 100$
9x /10 +12000 = 21x/20
12000 = 21x/20 - 9x/10
3x/10 = 12000
x = 12000× 10/3
x = 40000 Rs answer
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Answer 2

SP = CP + profit
5% (i.e. 1+1/20) profit on cp = sp
sp = 21/20x

10% loss on cp = sp
10% (i.e. 1-1/10) loss on cp = sp
sp = 9/10x

difference is 12000

21/20 - 9/10x = 12000
21x-18x = 12000 × 20
x = 80000