Frank Solutions for Class 9 Maths Chapter 2 Profit, Loss and Discount provide students with a clear knowledge of the important concepts discussed in the chapter. The solutions are helpful in enhancing problem-solving and logical thinking abilities among students. They are suggested to practise these solutions on a daily basis to boost their exam preparation. Students can refer to the Frank Solutions for Class 9 Maths Chapter 2 Profit, Loss and Discount PDF, which is provided in the link below.
Chapter 2 has important concepts of profit, loss and discount, and the steps used in determining them are explained in brief in this chapter. The solutions are provided in a descriptive manner to make learning interesting for the students. After working on chapter-wise problems from the textbook, they can follow these solutions to understand the various methods which can be used to solve the problems quickly.
Frank Solutions for Class 9 Maths Chapter 2 Profit, Loss and Discount – Download the PDF
Access Frank Solutions for Class 9 Maths Chapter 2 Profit, Loss and Discount
1. Find the loss percentage incurred by selling a watch for Rs 1610 that was purchased for Rs 1750
Solution:
Given
C.P of the watch = Rs 1750
S.P of the watch = Rs 1610
Loss = C.P – S.P
= Rs (1750 – 1610)
= Rs 140
Loss% = (Loss / C.P) × 100
= (140 / 1750) × 100
We get,
= 8%
Therefore, the loss percentage is 8%
2. Find the selling price of a camera bought for Rs 4600 and sold at a profit of 15%
Solution:
Given
C.P of the camera = Rs 4600
Profit = 15%
(S.P / C.P) = 1 + Profit / 100
(S.P / 4600) = 1 + 15 / 100
(S.P. / 4600) = (100 + 15) / 100
S.P = (115 / 100) × 4600
= Rs 5290
Therefore, the selling price of a camera is Rs 5290
3. Find the selling price of a watch bought for Rs 4050 and sold at a loss of 14%
Solution:
Given
C.P of the watch = Rs 4050
Loss = 14%
(S.P / C.P) = 1 – Loss / 100
S.P / 4050 = 1 – 14 / 100
S.P / 4050 = (100 – 14) / 100
S.P = (86 / 100) × 4050
We get,
S.P = Rs 3483
Therefore, the selling price of a watch is Rs 3483
4. A man buys a car for Rs 75000 and spends Rs 15000 on repairing it. If he sells the car now for Rs 114000, find the gain per cent.
Solution:
Given
C.P of the car = Rs 75000
Money spent on repairing = Rs 15000
Total C.P = Rs 75000 + Rs 15000
= Rs 90000
S.P of the car = Rs 114000
Gain = S.P – C.P
= Rs (114000 – 90000)
= Rs 24000
Gain% = (Gain / C.P) × 100
= (24000 / 90000) × 100
We get,
= 26.6%
Therefore, the gain percent of the car is 26.6%
5. A shopkeeper expects a profit of 25% on his cost price. In a week, his sale was of Rs 5000 what was his profit?
Solution:
Let the cost price = Rs 100
So, the profit will be Rs {(25 / 100) × 100}
= Rs 25
SP = CP + Profit
SP = Rs (100 + 25)
SP = Rs 125
Thus,
When the profit is Rs 25, the sale is Rs 125
Let x be the profit when the sale is Rs 5000
x = (25 × 5000) / 125
x = Rs 1000
Therefore, the profit is Rs 1000
6. On selling 10 watches at Rs 1400, there is a loss equal to the cost price of 3 watches. Find the cost price of a watch.
Solution:
Let the CP of 3 watches be Rs x
Hence,
CP of 1 watch = Rs (x / 3)
CP of 10 watches = Rs (10x / 3)
Loss on selling 10 watches = CP of 3 watches = Rs x
SP of 10 watches = Rs 1400
Loss incurred on selling 10 watches = CP of 3 watches = Rs x
Since CP – SP = Loss
Rs (10x / 3) – Rs 1400 = Rs x
(10x – 4200) / 3 = x
10x – 4200 = 3x
7x = 4200
We get,
x = 600
Therefore,
CP of a watch = Rs (x / 3)
CP of a watch = Rs (600 / 3) = Rs 200
7. Anant bought toffees at 5 for a rupee. How many for a rupee must he sell to gain 25%?
Solution:
CP of 5 toffees = Rs 1
SP of 5 toffees = {(100 + Profit%) / 100} of CP
= {(100 + 25) / 100} × Rs 1
= 125% × Rs 1
We get,
= Rs (5 / 4)
For Rs (5 / 4), toffees sold = 5
For Rs 1, toffees sold = (5 × 4 / 5) = 4
Therefore,
4 toffees were sold to gain 25%
8. By selling a tie for Rs 6.48, a shopkeeper gains 8%. At what price should he sell the tie to gain 10%?
Solution:
The S.P of a tie = Rs 648
Gain = 8%
(S.P.) / C.P.) = 1 + (Profit / 100)
(648 / C.P.) = 1 + (8 / 100)
648 / C.P. = {(100 + 8) / 100}
C.P = (100 / 108) × 648
C.P. = Rs 600
Now,
C.P. of the tie = Rs 600
Gain = 10%
Hence,
Gain = (10 / 100) × C.P.
= (10 / 100) × 600
We get,
= Rs 60
Therefore,
S.P. = Rs (600 + 60)
= Rs 660
Therefore, the shopkeeper must sell the tie at Rs 660 to make a gain of 10%
9. Find the SP in the following:
(a) MP = Rs 850, Discount = 16%
(b) MP = Rs 5500, Discount = 30%
Solution:
(a) MP = Rs 850
Discount = 16%
Discount% = {(discount / MP) × 100}
16 = {(discount / 850) × 100}
We get,
Discount = (16 × 850) / 100
We get,
Discount = Rs 136
S.P. = MP – discount
= Rs 850 – Rs 136
= Rs 714
Therefore, the S.P. is Rs 714
(b) MP = Rs 5500, Discount = 30%
Discount% = (discount / MP) × 100
30 = (discount / 5500) × 100
Discount = (30 × 5500) / 100
We get,
Discount = Rs 1650
S.P. = MP – Discount
= Rs 5500 – Rs 1650
= Rs 3850
Therefore, the S.P. is Rs 3850
10. Find the MP in the following:
(a) S.P. = Rs 1892, Discount = 14%
(b) S.P. = Rs 1245, Discount = 17%
Solution:
(a) SP = Rs 1892
Discount = 14%
SP = (1 – d / 100) of MP
1892 = (1 – 14 / 100) × MP
1892 = (86 / 100) × MP
MP = (1892 × 100) / 86
We get,
MP = Rs 2200
(b) SP = Rs 1245
Discount = 17%
SP = (1 – d / 100) of MP
1245 = (1 – 17 / 100) × MP
1245 = (83 / 100) × MP
MP = (1245 × 100) / 83
We get,
MP = Rs 1500
11. Find the discount percentage in the following:
(a) MP = Rs 1500, SP = Rs 1320
(b) MP = Rs 6840, SP = Rs 5814
Solution:
(a) MP = Rs 1500
SP = Rs 1320
Discount = MP – SP
Discount = Rs 1500 – Rs 1320
Discount = Rs 180
Discount percentage = {(discount / MP) × 100}%
= {(180 / 1500) × 100}%
We get,
= 12%
(b) MP = Rs 6840
SP = Rs 5814
Discount = MP – SP
Discount = Rs 6840 – Rs 5814
Discount = Rs 1026
Discount percentage = {(1026 / 6840) × 100}%
We get,
Discount percentage = 15%
12. Find the amount paid by a customer when he buys a watch priced at Rs 5400, available at a discount of 12%.
Solution:
MP = Rs 5400
Discount = 12%
To find the amount paid by the customer,
i.e, SP
SP = (1 – d / 100) of MP
SP = (1 – 12 / 100) × 5400
SP = (88 / 100) × 5400
We get,
SP = Rs 4752
Therefore, the amount paid by the customer is Rs 4752
13. Find the S.P. in the following:
(i) M.P = Rs 850, Discount = 16%
(ii) M.P = Rs 5500, Discount = 30%
(iii) M.P = Rs 1625, Discount = 12%
Solution:
(i) M.P = Rs 850
Discount = 16%
(SP / MP) = 1 – (discount / 100)
SP / 850 = 1 – (16 / 100)
SP = (84 / 100) × 850
We get,
= Rs 714
(ii) M.P = Rs 5500
Discount = 30%
(SP / MP) = 1 – (discount / 100)
SP / 5500 = 1 – (30 / 100)
SP = (70 / 100) × Rs 5500
We get,
= Rs 3850
(iii) M.P = Rs 1625
Discount = 12%
(SP / MP) = 1 – (discount / 100)
SP / 1625 = 1 – (12 / 100)
S.P = (88 / 100) × 1625
We get,
= Rs 1430
14. Find the M.P in the following:
(i) S.P = Rs 1892, Discount = 14%
(ii) S.P = Rs 1245, Discount = 17%
(iii) S.P = Rs 5343, Discount = 22%
Solution:
(i) S.P = Rs 1892
Discount = 14%
(SP / MP) = 1 – (discount / 100)
1892 / MP = 1 – (14 / 100)
MP = (100 / 86) × 1892
We get,
MP = Rs 2200
(ii) S.P = Rs 1245
Discount = 17%
(SP / MP) = 1 – (discount / 100)
1245 / MP = 1 – (17 / 100)
MP = (100 / 83) × 1245
We get,
MP = Rs 1500
(iii) S.P = Rs 5343
Discount = 22%
(SP / MP) = 1 – (discount / 100)
5343 / MP = 1 – (22 / 100)
MP = (100 / 78) × 5343
We get,
MP = Rs 6850
15. Find the discount percentage in the following:
(i) M.P = Rs 1500, S.P = Rs 1320
(ii) M.P = Rs 6840, S.P = Rs 5814
(iii) M.P = Rs 1960, S.P = Rs 1176
Solutions:
(i) M.P = Rs 1500
S.P = Rs 1320
(S.P / MP) = 1 – (discount / 100)
1320 / 1500 = 1 – (D / 100)
D / 100 = 1 – (1320 / 1500)
On further calculation, we get,
D = (180 / 1500) × 100
We get,
D = 12
Therefore, discount = 12%
(ii) MP = Rs 6840
SP = Rs 5814
(SP / MP) = 1 – (discount / 100)
5814 / 6840 = 1 – (D / 100)
D / 100 = 1 – (5814 / 6840)
On further calculation, we get,
D = (1026 / 6840) × 100
We get,
D = 15
Therefore, discount = 15%
(iii) MP = Rs 1960
SP = Rs 1176
(SP / MP) = 1 – (discount / 100)
1176 / 1960 = 1 – (D / 100)
D / 100 = 1 – (1176 / 1960)
On further calculation, we get,
D = (784 / 1960) × 100
We get,
D = 40
Therefore, discount = 40%
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