A dealer buys an article marked at Rs. 25,000 with 20% and 5% off. He spends Rs. 1,000 for its repairs and sells it for Rs. 25,000. What is his gain or loss per cent?

Solution(By Examveda Team)

Marked Price = 25000.
After first discount it become,
= 25000 - 20% of 25000 = 20000.
After second discount, it becomes
= 20000 - 5% of 20000 = 19000.
So, SP = 19000.
CP for the man who bought it, as he spends 1000 on repair.
= 19000 + 1000 = 20000
Profit = 25000 - 20000 = 5000.
%Profit = $$\frac{{5000 \times 100}}{{20000}}$$  = 25%

Short-Cut
25000(MP) == 20%(Disc.) ⇒ 20000 == 5%(disc.) ⇒19000(CP)
Spends on repair = Rs. 1000
Then, CP becomes = 19000 + 1000 = 20000
Profit = 5000
% profit = $$\frac{{5000 \times 100}}{{20000}}$$  = 25%