pls solve this sum for me A company sold some watches to a salesman and made a profit of 25 percent on each of them.the salesman in turn made a profit of 20percent when he sold particular watch for...

pls solve this sum for me

A company sold some watches to a salesman and made a profit of 25 percent on each of them.the salesman in turn made a profit of 20percent when he sold particular watch for $240 .find the price at which company sold the watch.

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llltkl's profile pic

llltkl | College Teacher | (Level 3) Valedictorian

Posted on

A company sold some watches to a salesman and made a profit of 25% on each of them. The salesman in turn made a profit of 20% when he sold a particular watch for $240.

Let the selling price at which the company sold a watch to salesman be $x.

The salesman sold it to customer at 20% profit at $240.

Hence, profit of the salesman = $(240-x)

Then, `(240-x)/x=20/100`

`rArr 20x=24000-100x`

`rArr 120x=24000`

`rArr x=200`

Therefore, the price at which the company sold the watch was $200.

made a profit of 25 percent on each
and made a profit of 25 percent on each if them.the salesman in turn made a profit of 20percent when he sold particular watch - See more at: http://www.enotes.com/homework-help/pls-solve-this-sum-me-company-sold-some-watches-462907#sthash.NNpk2MNC.dpuf
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sid-sarfraz | Student, Graduate | (Level 2) Salutatorian

Posted on

QUESTION:-

A company sold some watches to a salesman and made a profit of 25 percent on each of them. The salesman in turn made a profit of 20 percent when he sold particular watch for $240. Find the price at which company sold the watch.

SOLUTION:-

Company's selling price = ?

Company's profit earned = 25%

Salesman selling price = $240

Salesman profit earned = 20%

 Company's selling price = Salesman's cost price = x

Answer:-

The company's selling price and the Salesman's cost price, both are same.

We have the salesman's profit which is equal to the Salesman's selling price minus Company's cost price, Written as, 

240$ - $x

As we know that the Salesman's cost price is 20% of x,

where x is the total cost price by company or sale price of salesman. 

Now, Put this in the equation;

Salesman's profit earned % of Salesman's cost price = Salesman's selling price - Company's cost price

Let x be the company's selling price and salesman's cost price, both are same;

20% of x = 240 - x

20/100 . x = 240 - x

0.2x = 240 - x

0.2x + x = 240

1.2x = 240

x = 240/1.2

x = 200

Hence the company's selling price is $200 sold at 25% profit. And then the Salesman sold the same watch for $240 in which 20% profit was included on the company's cost price.

Hope you understand! I have tried to simplify it.

llltkl's profile pic

llltkl | College Teacher | (Level 3) Valedictorian

Posted on

Dear isbahaminsiddiq,

The question, as it stands, must have an answer of $200. Please check your sum.

If it reads "A company sold some watches to a salesman and made a profit of 25 percent on each of them. The salesman in turn made a profit of 20percent when he sold particular watch for $240. Find the price at which the company purchased/manufactured the watch"

Then it can be solved in the following manner:

Let the selling price at which the company sold a watch to salesman be $x.

The salesman sold it to customer at 20% profit at $240.

Hence, profit of the salesman = $(240-x)

Then,  `(240-x)/x=20/100`

`rArr 20x=24000-100x`

`rArr 120x=24000`

`rArr x=200`

Therefore, the price at which the company sold the watch was $200.

Again let the cost price/ manufacturing cost of the company be $y.

The company made 25% profit upon selling a watch.

Then,  `(200-y)/y=25/100=1/4`

`rArr y=800-4y`

`rArr 5y=800`

`rArr y=160`

Therefore, the price at which the company purchased/manufactured a watch is $160.

Check:

The company sold a watch to the salesman on 25% profit, i.e. at 160*125/100=$200

The salesman sold a watch on 20% profit, i.e. at 200*120/100=$240.

A company sold some watches to a salesman and made a profit of 25 percent on each of them.the salesman in turn made a profit of 20percent when he sold particular watch for $240 .find the price at which company sold the watch - See more at: http://www.enotes.com/homework-help/pls-solve-this-sum-me-company-sold-some-watches-462907#sthash.ZtkbIijn.dpuf
aruv's profile pic

aruv | High School Teacher | (Level 2) Valedictorian

Posted on

Selling Price for company= Cost price for salesman

Selling Price for salesman= cost price+20% profit =$240

Let cost price for salesman = $ x

So selling price = `(1+20/100)x=1.2x`

Thus

1.2x=240

x=$200

Thus company sold the watch at $200 .

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