6. A dealer buys an article marked at Rs. 25000 on two successive disc

1.	6. A dealer buys an article marked at Rs. 25000 on two successive discountsof first 20% and then 5%. He spends Rs. 1000 for its repair and then sellst for Rs. 25000. What is his gain or loss percent?
Answer» 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% _______________

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

Answer»

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%