## Wednesday, 13 November 2019

### Discount and Commission ( Practice Set 9.1)

Discount and Commission

Important Formulas:-

Selling price= Marked price – Discount
There are 2 formulas for discount
Discount= Marked price – Selling price
Discount= Percentage discount X Marked price

Practice Set 9.1

1)   If the marked price =1700 Rs, selling price= 1540Rs, the find the

discount.

è Discount= Marked price – Selling price

= 17001540

= 160 Rs

Therefore  the discount is 160 Rs

2)   If the marked price = 990 Rs and the percentage of discount is 10, then find the selling price.

è  Here we have to find  discount in Rs, So

Discount= Percentage discount X Marked price

10% X 990=99

Discount is 99 Rs

Hence,

Selling price= Marked priceDiscount

= 990 – 99

=891 Rs

3)  If the selling price = 900 Rs, Discount 20%, then find the Marked price.

è  ( Whenever Marked price is asked first take Marked Price as 100)
Let Marked price be Rs 100

Then discount of 20% will be 20Rs

Then selling price is
SP= MP – Discount
= 100 – 20
=  80Rs

Now

Let marked price be Rs x

So when selling price was Rs 80, marked price was Rs 100

If selling price is Rs 900, Marked price is x

80/100=900/x

Therefore x =1125 Rs

So Marked price is Rs 1125.

4)   The Marked Price of the fan is 3000 Rs. Shopkeeper gave 12% discount

on it. Find the discount and the selling price of the fan.

è Discount= Percentage discount X Marked price

= 12% X 3000

= 360 Rs

Selling price= Marked priceDiscount

= 3000 – 360

= 2640 Rs

5)  The Marked price of a mixer is 2300 Rs. A customer purchased it

for  Rs 1955. Find the percentage of discount offered to the customer.

è Discount= Marked priceSelling price

= 2300 – 1955

= 345 Rs

Discount= Percentage discount X Marked price

345      =  Percentage discount /100 X 2300

Percentage discount = 230000/345

Percentage discount = 15%

6)    A shopkeeper gives 11% discount on a television set, hence a customer

gets it for 22,250 Rs. Find the marked price of the television set.

è ( Whenever Marked price is asked first take Marked Price as 100)

Let Marked price be Rs 100

Then discount of 11% will be 11 Rs

Then selling price is

SP= MP – Discount

= 100 – 11

= 89 Rs

Let marked price be Rs x

So when selling price was Rs 89, marked price was Rs 100

If selling price is Rs 22,250 Marked price is x

89/100 = 22,250/x

Therefore x =25000 Rs

So Marked price is Rs 25000.

7)    A shopkeeper decides to sell a certain item at a certain price. He tags

the price on the item by increasing the decided price by 25%. While selling

the item, he offers 20% discount. Find how many more or less per cent he

gets on the decided price.

è (Here we don’t know the selling price and we cannot take the selling price

formula because marked price is not mentioned, So take selling price as Rs

100)

Let the decided price be Rs 100

Increase on decided price 25% (i.e) Rs 25

So marked price is 100 + 25 = 125 Rs

Discount is 20%

Discount= Percentage discount X Marked price

= 20/100 X 125

= 25 Rs

So, Selling price = Marked price – discount

= 125 – 25

= 100 Rs

Here the marked price and the selling price are same

Therefore decided price is 0 %