# Solved examples on Profit and Loss

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**Solved examples on Profit and Loss:**

1)Samy sold his dinning table set at a loss of 20%. If he had sold it for $ 800 more, he would have received a profit of 5%. Find the cost price .

**Solution :**

Let the cost price be $ 100

So when C.P = 100 , loss of 20% means

S.P = 100 – 20 = 80

Profit of 5% means S.P = 100 + 5 = 105

The difference of two S.P = 105 - 80 = 25

If the difference is 25, C.P = $100

If the difference is $ 800 , C.P = (100 / 25 ) x 800

C.P = $ 3200

**Example 2 :**The cost of 11 pencils is equal to the selling price of 10 pencils. Find the loss or profit percent, whatever may be the cost of 1 pencil.

**Solution :**The cost price of 11 pencils = S.P of 10 pencils

Let C.P of 1 pencil is $1 .

C.P of 10 pencils = $ 10

S.P of 10 pencils = C.P of 11 pencils = $ 11

Profit on 10 pencils = 11 – 10 = $1

Profit % = ( 1/ 10) x 100 = 10 %

**Example 3 :**Steve bought two buffaloes for $30,000. By selling one at a loss of 15% and other at a profit of 19%, he found that selling price of both buffaloes is the same. Find the C.P of each.

**Solution:**Let the C.P of 1st buffalo = x

∴C.P of 2nd buffalo = 30,000 - x

**S.P of 1st buffalo = ( 100 - loss% )**

------------------- x C.P

100

------------------- x C.P

100

S.P = 100 - 15x

-----------= 85x/ 100

100

**S.P of 2nd buffalo = ( 100 - Profit%)**

--------------------- x C.P

100

--------------------- x C.P

100

S.P = (100 + 19)(30,000- x) 119(30,000 -x)

-------------------- = ----------------

100 100

**S.P of 1st buffalo = S.P of 2nd buffalo**

85x/ 100 = 119 ( 30,000 - x)/ 100

⇒ 85x = 119(30,000 - x)

⇒ 85x = 3,570,000 - 119x

⇒ 85x + 119 x = 3,570,000

⇒ 204x = 3,570,000

⇒ x = 3,570,000 / 204

⇒ x = $17,500

**C.P of 1st buffalo = $17,500**

C.P of 2nd buffalo = 30,000 - 17,500 = $12,500

C.P of 2nd buffalo = 30,000 - 17,500 = $12,500

**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

• Solved examples on 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

• Solved examples on Profit and Loss

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