Question

6. A dealer buys an article marked at Rs. 25000 on two successive discounts
of first 20% and then 5%. He spends Rs. 1000 for its repair and then sells
t for Rs. 25000. What is his gain or loss percent?
​

Answer 1

Solution

Given :-

• dealer buys an article marked at = Rs. 25000

• two successive discounts of first 20% and then 5%.

• He spends Rs. 1000 for its repair .

• S.P. of articles = Rs. 25000

Find :-

• Gain or loss in percentage .

Explanation:-

First Calculate C.P. of this articles,

Case 1.

20% & 5% successive discount of in articles

so,

==> C.P. of articles = (80% × 95% × 25,000) + 1000

==> C.P. of articles = ( 80/100 × 95/100 × 25,000) + 1000

==> C.P. of articles = ( 8 × 95 × 25 ) + 1000

==> C.P. of articles = 8 × 2375 + 1000

==> C.P. of articles = 19,000 + 1000

==> C.P. of articles = 20,000

Here, S.P. is more than C.P.

Here, S.P. is more than C.P.since, Dealer got profit in this article

Now, Calculate Profit

$\dag\boxed{\underline{\tt{\blue{\: Profit\:=\:S.P.\:-\:C.P.}}}}$

==> Profit = 25,000 - 20,000

==> Profit = 5,000

Now, Calculate %profit

$\dag\boxed{\underline{\tt{\orange{\:\% profit\:=\:\dfrac{profit\times 100}{C.P.}}}}}$

==> %profit = 5000 × 100/20,000

==> % profit = 50/2

==> %profit = 25%

Hence

• %profit will be of an article = 25%

_______________

Answer 2

Answer:

Given that, Marked price of the article is Rs. 25,000.

Calculating the Price after First Discount of 20% we get:

⇒ Price = 25,000 - 20% of 25,000

⇒ Price = 25,000 - (20 × 25,000)/100

⇒ Price = 25,000 - 5,000

⇒ Price = Rs. 20,000

Now applying the second discount of 5% we get:

⇒ Final Cost Price = 20,000 - 5% of 20,000

⇒ Final Cost Price = 20,000 - (5 ×20,000)/100

⇒ Final Cost Price = 20,000 - 1,000

⇒ Final Cost Price = 19,000

Hence the dealer buys the product spending Rs. 19,000.

Now he carries out the extra repair work which is of Rs. 1,000.

Hence the Final Price before Selling is:

⇒ Final Selling Price = Original Price Bought + Repair Work

⇒ Final Selling Price = 19,000 + 1,000

⇒ Final Selling Price = 20,000

But, the shopkeeper sells it at a cost of Rs. 25,000 gaining a profit.

Hence the Profit% is:

⇒ Profit = SP - CP

⇒ Profit = 25,000 - 20,000

⇒ Profit = 5,000

⇒ Profit% = (Profit/CP) × 100

⇒ Profit% = (5,000/20,000) × 100

⇒ Profit% = (1/4) × 100

⇒ Profit% = 25%

Hence the profit/gain % of the article is 25%.