a man sold an article at 10% loss , if he had taken 45Rs more , the gain would have been 8%. what is its cost price
a.150
b.180
c.200
d.250
e.none
let the cost price be x
then the selling price is .9x
if he had taken 45 more ----> .9x + 45
this would have been 1.08 of cost price
1.08 = .9x + 45
....
x = 250
check: at 10% loss, SP = 225
but had he taken 45 more, SP = 270
and what is 108% of 250 ??
270
Q: John sold a chair at a loss of 20% if he had sold it for $50 more, he would have gained 5%. Find the cost price of chair.
To find the cost price (CP) of the article, we need to set up two equations using the information given.
Let's assume the cost price is "x" rupees.
1. The man sold the article at a 10% loss:
Selling price (SP) = CP - 10% of CP
SP = x - 0.1x = 0.9x
2. If the man took 45 rupees more, he would have gained 8%:
New Selling price = CP + 45 + 8% of CP
SP + 45 = CP + 0.08x
0.9x + 45 = x + 0.08x
To solve the equation, we can follow these steps:
1. Combine like terms:
0.9x + 45 = 1.08x
2. Subtract 0.9x from both sides:
45 = 0.18x
3. Divide both sides by 0.18:
x = 250
Therefore, the cost price of the article is 250 rupees.
The answer is option d) 250.