Mohan bought water purifier (RO) and sold it at a gain of 25%.If he had bought it 20% more and sold it for rs 1136 more, he would have gained 16%. Find the cost price of water purifier.
Answers
Answer: The cost price of water purifier.
Step-by-step explanation:
Let x be the cost price of water purifier (RO). So,
gain= 25% of x= 0.25*x ( Because Mohan sold it at a gain of 25%)
Selling price of RO= cost price + gain= x+0.25x= 1.25x
But if he had bought it 20% more and sold it for rs 1136 more, he would have gained 16%. So,
New cost price= x+20%x= x+0.20x= 1.20x
New gain= 16% of 1.20x= 0.16*1.20x= 0.192x
New selling price= 1.25x+1136
Now,
New gain= New selling price - New cost price
0.192x= 1.25x+1136-1.20x
0.192x= 0.05x+1136
0.192x-0.05x= 1136.
0.142x= 1136
x= 1136/0.142= 1136/142*1000= 8000
Therefore, the cost price of water purifier is rs 8000.
Answer: let cp=100
25% profit so sp= 125
20% more sold then 16%profit so sp=125+125×16/100
=139.2
Deefrent beetwin sp =139.2-125
=14.2
so 100/14.2×1136=8000