{"id":10885,"date":"2026-11-02T02:03:32","date_gmt":"2026-11-02T02:03:32","guid":{"rendered":"https:\/\/kapdec.com\/help\/?p=10885"},"modified":"2026-11-02T02:03:32","modified_gmt":"2026-11-02T02:03:32","slug":"conversion-profit-loss-simple-interest","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/conversion-profit-loss-simple-interest\/","title":{"rendered":"Conversion, Profit & Loss, Simple Interest"},"content":{"rendered":"
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KAPDEC® | Elite STEM Learning Platform | https:\/\/kapdec.com<\/a><\/p>\n

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Algebra: Comparing Quantities<\/strong><\/h2>\n

Profit or Loss as a Percentage:<\/strong><\/h3>\n

Profit and Loss:\u00a0 <\/strong>In our daily life, we buy goods from the shopkeepers in the market which they buy either directly from manufacturers or through wholesalers.<\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

In order to earn money, the shopkeepers sell goods at a rate which is higher than the rate at which they purchased them.<\/p>\n

Cost Price: <\/strong>The money paid by the shopkeeper to buy the goods from a manufacturer or a wholesaler is called the cost price of the shopkeeper and denoted by C.P.<\/strong><\/p>\n

Selling Price: <\/strong>The price at which a shopkeeper sells the goods is called the selling price of the shopkeeper, and it is denoted by S.P.<\/strong><\/p>\n

Profit: <\/strong>If the selling price<\/strong> of an article is greater than cost price, <\/strong>then the shopkeeper makes a gain or profit, and the amount of profit is equal to the difference between the selling price and the cost price.<\/p>\n

Thus, if S.P. > C.P.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Profit = Sell price \u2013 Cost price<\/strong><\/p>\n

Loss:\u00a0 <\/strong>If the selling price<\/strong> of an article is less than the cost price<\/strong> then the shopkeeper suffers a loss, and the amount of loss is equal to the difference between the cost price and the selling price.<\/p>\n

Thus, if S.P. < C.P., then.<\/p>\n

Loss= cost price \u2013 sale price<\/strong><\/p>\n

Example: <\/strong>If the cost price of an article is $20 and the selling price is\u00a0 $30,\u00a0 find the profit on the sold article.<\/p>\n

Solution:<\/strong>We have,<\/p>\n

Cost price= $20<\/p>\n

Sell price =$30<\/p>\n

Thus, profit= sale price \u2013 cost price<\/p>\n

Profit= 30- 20 = $10<\/p>\n

Example: <\/strong>If the cost price of an article is $65 and the selling price is $50, find the profit or loss on the whole transaction.<\/p>\n

We have,<\/p>\n

\u00a0Cost price =$65<\/p>\n

Sell price= $50<\/p>\n

We say that the cost price is greater than the sale price, so there is a loss on the whole transaction.<\/p>\n

Thus, Loss = cost price- sell price<\/p>\n

Loss= 65- 50= $15<\/p>\n

Profit Percent and Loss Percent:\u00a0 <\/strong><\/p>\n

In order to compare the profit or loss on the transaction, we usually express profit and loss as a percent of the cost price.<\/p>\n

The profit percentage is the profit that would be obtained for a C.P. of $ 100.<\/p>\n

Similarly, the loss percentage is the loss that would be made for a C.P. of $100<\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Profit %= <\/strong>Profits<\/strong>C<\/strong>.<\/strong>P.<\/strong><\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

\u00a0\u00d7 100<\/strong><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Loss% = <\/strong>Loss<\/strong>C<\/strong>.<\/strong>P.<\/strong><\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

\u00a0\u00d7 100<\/strong><\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

Example:\u00a0 <\/strong>If cost price =$1120, sale price= $1260<\/p>\n

Then profit%=?<\/p>\n

We have,cost price =$1120<\/p>\n

Sell price= $1260<\/p>\n

Profit= 1260-1120= $140<\/p>\n

Profit %= ProfitsC.P.<\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

\u00a0\u00d7 100<\/p>\n

Profit% = \u00a0<\/strong>1401120<\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

\u00a0\u00d7 100 = <\/strong>12.5%<\/p>\n

Example:<\/strong><\/p>\n

If the sell price = $30 and cost price = $40 then, find loss%:<\/p>\n

We have,sell price = $30<\/p>\n

Cost price= $40<\/p>\n

Loss = 40 -30 = $10<\/p>\n

Loss% = <\/strong>Loss<\/strong>C<\/strong>.<\/strong>P.<\/strong><\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

\u00a0\u00d7 100<\/strong><\/p>\n

\u00a0Loss% = <\/strong>1040<\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

\u00a0\u00d7 100 = 25%<\/p>\n

Example: <\/strong>If the cost price of 6 apples is equal to the selling price of 5 apples. Find the profit percentage.<\/p>\n

Solution:<\/strong>Let the cost price of each apple be $1<\/p>\n

Then, CP of 5 apples = $5<\/p>\n

SP of 5 apples = CP price of 6 apples = $6<\/p>\n

Profit = SP \u2013 CP = 6-5 = $1<\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

Example: <\/strong>By selling a TV for $240, a seller\u2019s profit is 20%. Find the cost price of the TV.<\/p>\n

Solution:<\/strong>Let the CP be$100<\/p>\n

Then, SP = $(100+20) = $120<\/p>\n

If the SP is $120, then CP = $100<\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

Some useful formula:<\/strong><\/p>\n

Some useful formula:<\/strong><\/p>\n

S.P. = 100+profit or gain%100<\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

\u00a0 \u00d7 C.P.<\/p>\n

S.P. = 100-Loss %100<\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

\u00a0 \u00d7 C.P.<\/p>\n

C.P. = 100100+gain%<\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

\u00a0 \u00d7 S.P.<\/p>\n

C.P. = 100100-loss%<\/p>\n

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Source: Kapdec.com<\/p>\n<\/div>\n

\u00a0 \u00d7 S.P.<\/p>\n

**Students are advised to remember the above formula because it will be helpful in solving various difficult problems of profit and loss.<\/p>\n

Key Point:\u00a0 <\/strong>\u00a0<\/p>\n

The profit or loss incurred in a certain transaction can be expressed in terms of percentages<\/p>\n

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