Class 8 MAHARASHTRA STATE TEXTBOOK BUREAU Solutions Maths Chapter 9: Discount and Commission
Discount and Commission Exercise Ex. 9.1
Solution 1
Marked price = Rs. 1700, Selling price = Rs. 1540, discount = ?
Discount = Marked price - selling price
= 1700 - 1540
= Rs. 160
Solution 2
Marked price = Rs. 990, percentage of discount is 10,
Selling price = ?
Percentage of discount is 10 means on Rs. 100 marked price Rs. 10 is discount.
Selling price = 100 - 10 = Rs. 90
Hence,
Selling price = Rs. 891
Solution 3
Selling price = Rs. 900, Discount is 20%, marked price = ?
Percentage of discount is 20 means on Rs. 100 marked price Rs. 20 is discount.
Selling price = 100 - 20 = Rs. 80
Hence,
Marked price = Rs. 1125
Solution 4
Discount 12% on marked price which is Rs. 3000.
Discount = 12% × 3000
= 
= Rs. 360
Selling price = marked price - discount
= 3000 - 360
= Rs. 2640
Total discount = Rs. 360 and selling price = Rs. 2640
Solution 5
marked price of a mixer = Rs. 2300
selling price = Rs. 1955
Discount = marked price - selling price
= 2300 - 1955
= Rs. 345
Percentage of discount = 
= 
= 15%
The percentage of discount offered to the customer is 15%.
Solution 6
Discount on a television set is 11%.
Cost price = Rs. 22,250
11% discount is on Rs. 100 marked price Rs. 11 is discount. Hence, selling price is 100 - 11 = Rs. 89
Hence,
∴ 
∴ x = 25, 000
Marked price of TV set is Rs. 25, 000.
Solution 7
Suppose, marked price of the item = 100 rupees
Therefore, for customer that item costs 100 - 10 = 90 rupees
Hence, when the discount is 10 then the selling price is 90 rupees.
Suppose when the discount is 17 rupees, the selling price is x rupees.
∴ The customer will get the item for 153 rupees.
Solution 8
Let us consider price of an item by shopkeeper be Rs. 100.
He tags the price on the item by increasing the decided price by 25%.
Tagged price = decided price + increasing price
= 100 + 25
= Rs. 125
While selling the item, he offers 20% discount.
If we assume tagged price is Rs. 100 then selling price should be Rs. 80.
Tagged price is Rs. 125 then selling price is Rs. x.
∴ 
∴ x = 100
Selling price of item is Rs. 100.
The shopkeeper gets same price that of decided price. There is 0% change in decided price.
Discount and Commission Exercise Ex. 9.2
Solution 1
Selling price of books = 4500
Rate of commission = 15% 
∴ Commission = 675 rupees
Solution 2
Selling price of flowers is Rs. 15, 000.
Rate of commission is Rs. 4%
Total commission = 4% × 15, 000
= 
= Rs. 600
Amount received by Rafique = selling price - commission
= 15, 000 - 600
= Rs. 14, 400
Total commission paid by Rafique is Rs. 600 and amount received by him is Rs. 14, 400.
Solution 3
Selling price of foodgrain is Rs. 9200.
Commission rate is 2%.
Commission = 2% of 9200
= 
= Rs. 184
Agent got Rs. 184 in the transaction.
Solution 4
(i)
3 sarees for 560 rupees each.
Cost of 3 sarees = 3 × 560 = Rs. 1680
(ii)
6 bottles of honey for 90 rupees each.
Cost of 6 bottles of honey = 6 × 90 = Rs. 540
Total cost = 1680 + 540 = Rs. 2220
Rebate = 12%
Total rebate = 12% of 2220
= 
= Rs. 266.40
Amount paid by Umatai = Total cost - Rebate
= 2220 - 266.40
= Rs. 1953.60
Solution 5
(1) smt. Deepanjali
paid 
= Rs. 15, 000 brokerage for purchasing the
house.
(2) Smt. Leelaben paid brokerage of Rs.15, 000.
(3) Total brokerage received by the agent is 15, 000 + 15, 000 = Rs. 30, 000
(4) The cost of house Smt. Deepanjali paid is 7,50,000 + 15, 000 = Rs. 7,65000
(5) The selling price of house for Smt. Leelaben is Rs. 7, 35, 000