Question

19. A man bought a watch for Rs.400 and marked a 25%
profit. He then gave a discount and sold the watch
for Rs 450. what is the % discount that he offered?
A) 12.5%
B) 10%
C) 15%
D) 20%
​

Answer 1

Answer:

Many people are not reading the question carefully.. The question defines that he had sold the item at a profit of 20 % on the selling price.

The profit will not be the 20% of 400 , But it will be the 20% of selling price which we dont know about.

So let the selling price be 100 and the profit percentage will be 20 (100*20/100).

Now if the selling cost is 100 and rs. 20 are included of profit than the actual cost will be 80rs.

Here, 80 is the cost for 100 selling price

Then the selling price for 400 (80*5 ) will be 500(100*5)

Simply we draw an equation that 80 cp = 100 sp .. Then we have multiplied it with 5 to find the results..

Selling price will be 500.

You can recheck your answer by this-

20% of 500 is 100 . If we subtract 100 from 500 we will get 400 which was our cost price.

Thank you!!

Answer 2

$\LARGE{\bf{\underline{\underline{GIVEN:-}}}}$

• Cost price (CP) = 400₹.
• Profit % = 25%.
• Selling price (SP) = 450₹.

$\LARGE{\bf{\underline{\underline{TO:FIND:-}}}}$

• The discount %.

$\LARGE{\bf{\underline{\underline{SOLUTION:-}}}}$

The product was marked at 25% profit. So, we can deduce marked price:

$\sf Marked \ price = Cost \ price \times \dfrac{profit\%}{100} + Cost \ price.$

Substituting the values:

$\sf Marked \ price = 400 \times \dfrac{25}{100} +400$

$\sf Marked \ price = 500 Rs.$

We know that:

$\sf{\red{Discount =Marked \ price - selling \ price }}$

$\sf Discount = 500 - 450$

$\sf Discount = 50 Rs.$

And finally, we know that:

$\sf Rate\ of \ Discount = Discount\% = \dfrac{Discount}{Marked\;Price}\times 100$

$\sf Discount \%=\dfrac{50}{500} \times 100$

$\boxed{\sf{\green{Discount \% = 10\%}}}$

OPTION (B) IS CORRECT.