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
Answer:
GOOD MORNING
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,
Step-by-step explanation:
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For 1
st
pipes, S.P =1.20 , profit =20 %
C.P=S.P−profit
CP=1.20−20%×CP
∴120% CP=1.20
∴CP=
120
1.20
×100
∴CP
1
=1.00
For 2
nd
=s.p+loss
CP=1.20+200 % CP
∴80% CP=1.20
∴CP=
80
1.20
×100
=1.50
∴ Total CP=1.00+1.50=2.50
Total SP=1.20+1.20=2.40
∴ He suffered 10 paise loss.