Question

If a commission of 10% is given on the list price, the gain is 20%.find the gain percent, if the commission is increased to 20%

Answer 1

This question is based on the concept of profit, loss and discount.

We just need to follow the question step by step to get the answer easily.

This is how I have solved it.

If CP is Rs 100,

In first case , SP= Rs 120,

Listed price= 120*100/90 = Rs 400/3

In 2nd case, SP= 400/3 - 80/3 = Rs. 320/3 

Profit = Rs 20/3

so profit %= 20/3 %

Answer 2

Answer : 20/3 %

Step-by-step explanation :

Let the List Price or Market Price be Rs 100

Here, we know that commission refers to discount

If some discount is provided then SP (Selling Price) is less than its MP (Market Price)

So, SP = MP - 10% of MP

SP = Rs 100 - 10/100 × MP

SP = Rs 100 - Rs 10 = Rs 90

Now, 20% gain is there. This means that CP is less than its SP.

SP = CP + 20% of CP

Rs 90 = CP + 20 CP/100

Rs 90 = ( 120 )CP / 100

Rs 90 × 100/120 = CP

Rs 75 = Cost Price

Now if 20% commission is provided on MP then SP is,

SP = MP - 20% of MP

SP = Rs 100 - 20/100 × 100

SP = Rs 80

Profit % = Profit / CP × 100

= ( 80 - 75 )/75 × 100

= 5/75 × 100 = 1/15 × 100

= 20/3 %