Discount And Commission
Class 8th Mathematics (old) MHB Solution
- Fill in the blanks. (1) A ratio with denominator ………….. is called a percentage.…
- Find the values. (1) 2 p.c. of 3000 (2) 3% of 100 (3) 6% of 11450 (4) 60% of…
- The marked price of a floor spread is Rs 650. If the shopkeeper gives a…
- A shopkeeper gives a 12% discount on the marked price of a TV set. If a set is…
- The marked price of a scooter is Rs 47,500. If the selling price is Rs 43,700,…
- A shopkeeper gives an 8% discount on the marked price of a camera. He sold a…
- In the following table, from the information given in each example, find out…
- Sharadadevi sold a buffalo through an agent. Its price was Rs 63,500. She had…
- Vishwasrao bought a plot of land worth Rs 2,50,000 through an estate agent. If…
- When Patel bought some farm implements priced at Rs 6,500 through an agent for…
- Bhujangrao bought a jeep through an agent. Including the commission, he paid Rs…
- When Nikita sold her old two-wheeler through an agent, she got Rs 17,150 for it…
Exercise 70
Question 1.Fill in the blanks.
(1) A ratio with denominator ………….. is called a percentage.
(2) 
= ………. Percent = ……………. %
(3) 64 percent 
(4) 95%
(5) 5 percent of 400 = 400 × …… = ……
(6) 20% of 25000 = …… × …….. = …….
Answer:
(1) A fraction or ratio with denominator hundred is called a percentage
Answer: 100
(2) 
Answer: 15,15
(3) 64 percent 
Answer:
(4) 95 percent 
Answer: 
(5) 5 Percent of 400
Answer : 
(6)20 % of 25000
Answer : 
Question 2.
Find the values.
(1) 2 p.c. of 3000
(2) 3% of 100
(3) 6% of 11450
(4) 60% of 1610
Answer:
(1) 2 p.c. of 3000 
⇒ 2 p.c. of 3000 = 60
(2) 3% of 100 
⇒ 3 % of 100 = 3
(3) 6% of 11450 
⇒ 6 % of 11450 = 687
(4) 60% of 1610 
⇒ 60% of 1610 = 966
Exercise 71
Question 1.The marked price of a floor spread is Rs 650. If the shopkeeper gives a discount of 8 p.c., what is its selling price?
Answer:
Marked price = Rs 650
Rate of discount = 8%
Discount 
⇒ Discount 
⇒ Discount = Rs 52
Selling Price = (Marked Price –Discount) = Rs 598
Question 2.
A shopkeeper gives a 12% discount on the marked price of a TV set. If a set is sold for Rs 7480, what was its marked price?
Answer:
Selling price = Rs 7480
Rate of discount = 12%
Let Marked price be x
⇒ x -0.12x = 7480
⇒ 0.88x = 7480
⇒x = Rs. 8500
Marked Price is Rs. 8500
Question 3.
The marked price of a scooter is Rs 47,500. If the selling price is Rs 43,700, what is the percentage of the discount given by the shopkeeper?
Answer:
Marked Price = Rs 47,500
Selling Price = Rs 43,700
Discount = ( Marked Price - Selling Price) = Rs 3800
Rate of Discount 
⇒ Rate of Discount 
⇒ Rate of Discount = 8%
Question 4.
A shopkeeper gives an 8% discount on the marked price of a camera. He sold a camera for Rs 460. What was its marked price?
Answer:
Selling price = Rs 460
Rate of discount = 8%
Let Marked price be x
⇒ x -0.08x = 460
⇒ 0.92x = 460
⇒ x = Rs. 500
Marked Price is Rs. 500
Question 5.
In the following table, from the information given in each example, find out the figures to fill in the blanks.
Answer:
(1) Marked price of watch = Rs 250
Rate of discount = 12%
Discount
⇒ Discount 
⇒ Discount = Rs 30
Selling Price of watch = (Marked Price –Discount) = Rs 220
(2) Marked price of cupboard = Rs 4800
Rate of discount = 6%
Discount
⇒ Discount 
⇒ Discount = Rs 288
Selling Price of cupboard = (Marked Price –Discount) = Rs 4512
(3) Marked Price of bicycle = Rs 1800
Discount = Rs 180
Selling Price of bicycle = (Marked Price – Discount) = Rs 1620
Rate of Discount
⇒ Rate of Discount 
⇒ Rate of Discount = 10%
(4) Selling price of uniform = Rs 136
Rate of discount = 15%
Let Marked price be x
⇒ x -0.15x = 136
⇒ 0.85x = 136
⇒ x = Rs. 160
Marked Price of uniform is Rs. 160
Discount = ( Marked Price- Selling price) = Rs 24
(5) Marked Price of books = Rs 1560
Discount = Rs 234
Selling Price of books = (Marked Price – Discount) = Rs 1326
Rate of Discount
⇒ Rate of Discount 
⇒ Rate of Discount = 15%
Exercise 72
Question 1.Sharadadevi sold a buffalo through an agent. Its price was Rs 63,500. She had to pay a commission of 3%. How much money did Sharadadevi get for the buffalo?
Answer:
Selling price = Rs 63,500
Rate of commission = 3%
Commission 
⇒ Commission = Rs 1905
Amount received = (Selling price- Commission) = Rs 61,595
Question 2.
Vishwasrao bought a plot of land worth Rs 2,50,000 through an estate agent. If the commission was paid at 2.5%, how much did he pay the estate agent?
Answer:
Selling price = Rs 2,50,000
Rate of commission = 2.5%
Commission 
⇒ Commission = Rs 6250
Question 3.
When Patel bought some farm implements priced at Rs 6,500 through an agent for Rs 6,630, what was the commission he paid to the agent? What as its rate percent?
Answer:
Selling Price = Rs 6500
Amount paid to agent = Rs 6630
Commission = (Amount paid to agent- Selling Price) = Rs 130
Rate of commission 
⇒ Rate of commission 
⇒ Rate of commission = 2%
Question 4.
Bhujangrao bought a jeep through an agent. Including the commission, he paid Rs 3,03,000 for it. If the commission was paid at 1%, find the original price of the jeep.
Answer:
Let original price be x
Amount paid = Rs 3,03,000
Rate of commission = 1%
⇒ 1.01x = 303000
⇒ x = 300000
Original Price is Rs 3,00,000
Question 5.
When Nikita sold her old two-wheeler through an agent, she got Rs 17,150 for it after paying the agent. If the commission was paid at 2%, find the selling price of the vehicle.
Answer:
Amount received = Rs 17,500
Rate of commission = 2%
Let selling price be x
⇒ 0.98x = 17150
⇒ x = 17500
Selling Price is Rs 17,500
Exercise 73
Question 1.A dealer sold tea worth Rs 22,500 for a tea company. If he got a commission at the rate of 18%, how much was his actual commission?
Answer:
Selling price = Rs 22,500
Rate of commission = 18%
Actual Commission 
⇒ Actual Commission
⇒ Actual Commission = Rs 4050
Question 2.
A dealer sold 24 rolls of cloth, each worth Rs 1350. What commission did he get at the rate of 10%?
Answer:
No. of rolls of cloth = 24
Cost of each roll = Rs 1350
Total cost = ( No. of rolls of cloth × Cost of each roll) = Rs 32,400
Rate of commission = 10%
Commission 
⇒ Commission = Rs 3240
Question 3.
Use the given information and write the proper figures in the blank spaces.
Answer:
(1) No. of bundles of fenugreek = 500
Rate per hundred = Rs 400
Total value = ( No. of bundles of fenugreek× Rate per hundred) = Rs 2000
Rate of commission = 2%
Commission 
⇒ Commission = Rs 40
Amount received by farmer = ( Total value- Commission) = Rs 1960
(2) No. of Grape cartons = 120
Rate per cartons = Rs 70
Total value = ( No. of Grape cartons × Rate per cartons) = Rs 8400
Rate of commission = 3%
Commission
⇒ Commission = Rs 252
Amount received by farmer = ( Total value- Commission) = Rs 8148
(3) No. of quintals of onion = 21
Rate per quintal = Rs 180
Total value = ( No. of quintals of onion × Rate per quintal) = Rs 3780
Rate of commission = 2.5%
Commission
⇒ Commission = Rs 94.5
Amount received by farmer = ( Total value- Commission) = Rs 3685.50
(4) No. of quintals of wheat = 21
Rate per quintal = Rs 850
Total value = ( No. of quintals of wheat × Rate per quintal) = Rs 25,500
Rate of commission = 1.5%
Commission
⇒ Commission = Rs 382.50
Amount received by farmer = ( Total value- Commission) = Rs 15,117.50
(5) No. of quintals of pomegranate = 16
Rate per quintal = Rs 1450
Total value = ( No. of quintals of pomegranate × Rate per quintal) = Rs 23,200
Rate of commission = 4%
Commission
⇒ Commission = Rs 928
Amount received by farmer = ( Total value- Commission) = Rs 22,272