3. Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:
(a) broke even, (b) lost 4 cents, (c) gained 4 cents, (d) lost 10 cents, (e) gained 10 cents
Answers
Let The Cost Price for the first pipe be "x" Dollars
Selling Price = x + 20% of x
1.20 = x + 20x / 100
1.20 = x + x/5
1.20 = (5x + x)/5
1.20 * 5 = 6x
6 = 6x
x = 1 Dollar
So ,
Cost Price of The Pipe in Which Mr. Jones Got Profit of 20% = 1 Dollar
Let The Cost Price Of The Second Pipe be "y" dollar
Selling Price of second Pipe = y - 20% of y
1.20 = y - 20y/100
1.20 = y - y/5
1.20 = (5y - y)/5
1.20 * 5 =4y
6 = 4y
y = 6/4
y = 3/2
y = 1.5 Dollars
Total Cost Price Which Mr Jones Paid = 1 + 1.5
= 2.5 Dollars
Total Selling Price Which Mr Jones Received = 1.2 + 1.2
= 2.4 Dollar
Mr. Jones Lost 10 cents
so,
ANSWER = (d) = lost 10 cents
Answer:
Step-by-step explanation:
Solution:
Selling price of the first pipe = $1.20
Profit = 20%
Let’s try to find the cost price of the first pipe
CP = Selling price - Profit
CP = 1.20 - 20% of CP
CP = 1.20 - 0.20CP
CP + 0.20CP = 1.20
1.20CP = 1.20
CP = 1.201.20
CP = $ 1
Selling price of the Second pipe = $1.20
Loss = 20%
Let’s try to find the cost price of the second pipe
CP = Selling price + Loss
CP = 1.20 + 20% of CP
CP = 1.20 + 0.20CP
CP - 0.20CP = 1.20
0.80CP = 1.20
CP = 1.200.80
CP = $1.50
Therefore, total cost price of the two pipes = $1.00 + $1.50 = $2.50
And total selling price of the two pipes = $1.20 + $1.20 = $2.40
Loss = $2.50 – $2.40 = $0.10
Therefore, Mr. Jones loss 10 cents.
Answer: (d)