Question

A dealer buys an article marked at Rs. 50,000
at 25% and 10% successive discount. He spends
Rs. 5000 on its repair and sells it for Rs. 50,000.
What is his loss or gain percentage?
1. 33.63% loss
2. 26.43% gain
3. 1.25% gain
4. 29.03%
5. 27.13% loss

Answer 1

50000×25/100=12500
50000-12500=37500
37500×10/100=3750
37500-3750=33750
33750+5000=38750
50000-38750=11250
22.5%

Answer 2

The percentage  of profit = 29.03%

Given:

A dealer buys an article marked at Rs.50,000

The rate of  successive discounts = 25% and 10%

The amount he spent for repairing the article = 5000 Rs

The selling price of a article at end = Rs.50,000

To find:

What is his loss or gain percentage

Solution:

Given that the dealer got two successive discounts 25% and 10% on Marked price Rs.50,000  

After getting 25% discount the cost price of article

= 50000 -  $\frac{25}{100} (50,000)$  

= 50000 - 25(500)

= 50000 - 12500 = 37500

Again he got 10% discount on 37500  

After getting 10% discount on 37500 cost price of article

= 37500 -  $\frac{10}{100} (37500 )$  

= 37500 - 3750 = 33750 Rs

After getting 2 successive discounts the cost price of Article

= 33750 Rs

The amount he spent for repairing article = 5000

Then the total cost price of article = 33750 + 5000 = 38750 Rs

The price that he sold the article = 50000 Rs

Here Cost Price < Selling Price

⇒ The dealer will gain in whole transaction

The profit he gained =  50000 Rs - 38750 Rs = 11250 Rs

The profit of percentage = (profit/C.P) × 100

= (11250/38750) × 100

= (0.2903) × 100

= 29.03%

The percentage of profit = 29.03%

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