finding cp when sp and profit or loss percent are given
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# Finding CP  when SP and Profit or Loss Percent are given

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Finding CP when SP and Profit or Loss Percent are given

Examples on finding cp when sp and profit or loss percent are given :

1) A man sells his scooter for $18000 making a profit of 20%. How much did the scooter cost him? Solution: Let c.p =$100

As there is profit % as 20 so s.p = 100 + 20 = $120 Let the c.p of the scooter be$x

Now make proportions as

100/x = 120/18000

Cross multiply

120x = 100 . 18000

120x = 1,800,000

So, x = 1,800,000/120

x = $15000 Hence the cost price of the scooter is$15000.

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2) By selling an AC for $20,000, I lose 20%. What did I pay for it? Solution: We have S.P. =$ 20,000 and loss = 20%.

Let c.p = $100 As there is loss % as 20 so s.p = 100 - 20 =$80

Let the c.p of the scooter be $x Now make proportions as 100/x = 80/20,000 Cross multiply 80x = 100 . 20,000 80x = 2,000,000 So, x = 2,000,000/80 x =$ 25000

Hence the cost price of the AC is $25,000. ________________________________________________________________ 3) SP =$450 and profit % = 50, find CP.

Solution :
Let c.p = $100 As there is profit % as 50 so s.p = 100 + 50 =$150

Let the c.p of the scooter be $x Now make proportions as 100/x = 150/450 Cross multiply 150x = 100 . 450 150x = 45,000 So, x = 45,000/150 x =$300

Hence, CP = $300 ______________________________________________________________ 4) A shopkeeper sells one transistor for$ 840 at a gain of 20% and another for $960 at a loss of 4%. His total gain or loss percent is:  1st Transistor Let c.p =$100 As there is profit % as 20 so s.p = 100 + 20 = $120 Let the c.p of the scooter be$x Now make proportions as 100/x = 120/840 Cross multiply 120x = 100 . 840 120x = 84,000 So, x = 84,000/120 x = $700 Hence, CP =$700 2nd Transistor Let c.p = $100 As there is loss % as 4 so s.p = 100 - 4 =$96 Let the c.p of the scooter be $x Now make proportions as 100/x = 96/960 Cross multiply 96x = 100 . 960 96x = 96,000 So, x = 96,000/96 x =$1000 Hence, CP = $1000 ∴ Total CP = 700 + 1000 =$1700
Total SP = 840 + 960 = $1800 Profit = SP - CP Profit = 1800 -1700 =$100
Profit % = (Profit/CP )x100
Profit % = (100/1700)x100
Profit % = 5.88%

Profit and Loss

Finding profit or loss percent
Finding cp when sp and Profit or Loss percent are given
Finding sp when cp and Profit or Loss percent are given
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