What is the profit percent if the cost price of 16 v is equal to the selling price of 12 volts

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10 Qs. 10 Marks 10 Mins

Given:

Cost price of 15 articles = Selling price of 12 articles

Concept used:

If the cost price of 'a' articles is equal to the selling price of 'b' articles, then

Profit percentage = [(a - b)/b] × 100%, if (a > m)

Calculation:

Here, a = 15 and b = 12

Profit percentage = [(15 - 12)/12] × 100%

⇒ (1/4) × 100%

⇒ 25%

∴ The profit percentage is 25%.

Calculation:

Let the CP of one article be x

Then the CP of 15 articles = 15x

It is given that, Cost price of 15 articles = Selling price of 12 articles

⇒ SP of 12 articles = 15x

And the CP of 12 articles = 12x

Profit = SP - CP

Profit = 15x - 12x = 3x

Profit% = (Profit × 100)/CP

⇒ P% = (3x × 100)/12x = 25%

∴ The profit percentage is 25%.

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In calculating profit percent and loss percent we will learn about the basic concepts of profit and loss. We will recall facts and formula while calculating profit percent and loss percent. Now we will apply the concept of percentage to find profit/loss in selling and buying of goods in our day to day life.

Cost price (CP)       The amount for which an article is bought is called its cost price.

Selling price (SP)   The amount for which an article is sold is called its selling price.

Profit or gain          When (SP) > (CP) then there is a gain.

                                 Gain = (SP) - (CP)

Loss                         When (SP) < (CP) then there is a loss.

                                 Loss = (CP) - (SP).

Notes: 

The gain or loss is always reckoned on the cost price

Calculating Profit Percent and Loss Percent

Profit and loss formulas for calculating profit% and loss%:

I. Gain = (SP) - (CP) II. Loss = (CP) - (SP) III. Gain% = (gain / CP × 100)% IV. Loss % = (loss/ CP × 100)%

V. To find SP when CP and gain% or loss% are given:

● SP = [(100 + gain %) / 100] × CP

● SP = {(100 - loss %) /100} × CP

VI. To find CP when SP and gain% or loss% are given:

● CP = {100/(100 + gain %)} × SP

● CP = {100 /(100 - loss %)} × SP

Calculating Profit Percent and Loss Percent

Worked-out problems on calculating profit percent and loss percent:

1. Mike bought a DVD for $ 750 and sold it for $ 875. Find Mike's gain per cent. 

Solution: 

2. Ron purchased a table for $ 1260 and due to some scratches on its top he had to sell it for $ 1197. Find his loss per cent. 

Solution: 

In calculating profit percent and loss percent, sometimes after purchasing an article, we have to pay some more money for things like transportation, repairing charges, local taxes, These extra expenses are called overheads. 

3. Maddy purchased an old scooter for $ 12000 and spent $ 2850 on its overhauling. Then, he sold it to his friend Sam for $ 13860. How much per cent did he gain or lose? 

Solution: 

        = 6 

4. Ron ought an almirah for $ 6250 and spent $ 375 on its repairs. Then, he sold it for $ 6890. Find his gain or loss per cent. 

Solution: CP of the almirah = $ 6250, Overheads = $ 375. Total cost price = $ (6250 + 375)                          = $ 6625. Selling price = $ 6890. Since, (SP) > (CP), Ron gains. Gain% = $ (6890 - 6625)             = $ 265. Gain% = [(gain / total CP) × 100] %           = [(265 / 6625) × 100] %            = 4 %

5. A vendor bought oranges at 20 for $ 56 and sold them at $ 35 per dozen. Find his gain or loss per cent.

Solution:

6. If the cost price of 10 pens is equal to the selling price of 8 pens, find the gain or loss per cent.

Solution:

● Profit, Loss and Discount

Calculating Profit Percent and Loss Percent

Word Problems on Profit and Loss

Examples on Calculating Profit or Loss

Practice Test on Profit and Loss

Discount

Practice Test on Profit Loss and Discount

● Profit, Loss and Discount - Worksheets

Worksheet to Find Profit and Loss

Worksheets on Profit and Loss Percentage

Worksheet on Gain and Loss Percentage

Worksheet on Discounts

7th Grade Math Problems

8th Grade Math Practice 

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The selling price of 10 pencils is equal to the cost price of 11 pencils. What is the profit percentage

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