Profit and Loss
- A started a business with a capital of $ 1,00,000. One year later, B joined him with a capital of $ 2,00,000. At the end of 3 years from the start of the business, the profit earned was $ 84,000. The share of B in the profit exceeded the share of A by
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Here , Total profit = $ 84,000
Total capitals of A for 36 months = $ 1,00,000 × 36 = $ 3600000
After 1 year , Total capitals of B for 24 months = $ 1,00,000 × 24 = $ 4800000
Ratio of equivalent capitals of A and B for 1 month = 3600000 : 4800000
Ratio of equivalent capitals of A and B for 1 month = 36 : 48 = 3 : 4Part of profit gained by A = 3 7 Part of profit gained by B = 4 7
Correct Option: B
Here , Total profit = $ 84,000
Total capitals of A for 36 months = $ 1,00,000 × 36 = $ 3600000
After 1 year , Total capitals of B for 24 months = $ 1,00,000 × 24 = $ 4800000
Ratio of equivalent capitals of A and B for 1 month = 3600000 : 4800000
Ratio of equivalent capitals of A and B for 1 month = 36 : 48 = 3 : 4Part of profit gained by A = 3 7 Part of profit gained by B = 4 7 ∴ Required difference = 
4 - 3 
× 84000 = $ 12000 7 7
- A, B, C enter into a partnership. A contributes $ 3,20,000 for 4 months, B contributes $ 5,10,000 for 3 months and C contributes $ 2,70,000 for 5 months. If the total profit be $ 1,24,800, then A’s share in the profit is
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Given , The investment of A for 4 months = $ 3,20,000
The investment of B for 3 months = $ 5,10,000
The investment of C for 5 months = $ 2,70,000
We know that ,
Ratio of profit sharing among A, B and C = Ratio of equivalent capitals of A, B and C for 1 month
Ratio of profit sharing among A, B and C = 320000 × 4 : 510000 × 3 : 270000 × 5
Ratio of profit sharing among A, B and C = 32 × 4 : 51 × 3 : 27 × 5
Ratio of profit sharing among A, B and C = 128 : 153 : 135
Sum of ratios = 128 + 153 + 135 = 416Correct Option: A
Given , The investment of A for 4 months = $ 3,20,000
The investment of B for 3 months = $ 5,10,000
The investment of C for 5 months = $ 2,70,000
We know that ,
Ratio of profit sharing among A, B and C = Ratio of equivalent capitals of A, B and C for 1 month
Ratio of profit sharing among A, B and C = 320000 × 4 : 510000 × 3 : 270000 × 5
Ratio of profit sharing among A, B and C = 32 × 4 : 51 × 3 : 27 × 5
Ratio of profit sharing among A, B and C = 128 : 153 : 135
Sum of ratios = 128 + 153 + 135 = 416
Total profit = $ 124800∴ A’s share = 128 × 124800 = $ 38400 416
- A, B and C rent a pasture. A puts in 10 oxen for 7 months, B 12 oxen for 5 months and C 15 oxen for 3 months for grazing. If the rent of the pasture is $ 175, how much must C pay as his share of rent?
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We know that , Share of rent = (number of oxen × time)
A : B : C = ( number of oxen × time ) for A : ( number of oxen × time ) for B : ( number of oxen × time ) for C
A : B : C = (10 × 7) : (12 × 5) : (15 × 3)
A : B : C = 70 : 60 : 45
A : B : C = 14 : 12 : 9C’s share of rent = 9 × 175 14 + 12 + 9
Correct Option: A
We know that , Share of rent = (number of oxen × time)
A : B : C = ( number of oxen × time ) for A : ( number of oxen × time ) for B : ( number of oxen × time ) for C
A : B : C = (10 × 7) : (12 × 5) : (15 × 3)
A : B : C = 70 : 60 : 45
A : B : C = 14 : 12 : 9C’s share of rent = 9 × 175 14 + 12 + 9 C’s share of rent = 9 × 175 = 45 35
∴ C’s share of rent is $ 45.
- At the beginning of a partnership business, the capital of B was (3 / 2)times that of A. After 8 months B withdrew (1 / 2) of his capital and after 10 months A withdrew (1 / 4) th of his capital. At the end of the year, if the profit incurred is $ 53,000, find the amount received by A.
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Let Initially, A’s capital = $ x
B’s capital = $ 3x 2
Ratio of the equivalent capitals of A and B for 1 month
Ratio of the equivalent capitals of A and B for 1 month = 10x + 3x : (12x + 3x) = 23 : 30 2
Correct Option: D
Let Initially, A’s capital = $ x
B’s capital = $ 3x 2
Ratio of the equivalent capitals of A and B for 1 monthRatio of the equivalent capitals of A and B for 1 month = 10x + 3x : (12x + 3x) = 23 : 30 2 A’ share = 23 × 53000 = $ 23000 53
- $ 864 is divided among A, B and C such that 8 times A’s share is equal to 12 times B’s share and also equal to 6 times C’s share. How much did B get?
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According to question ,
8A = B × 12 = 6C⇒ 8A = 12B = 6C 24 24 24 ⇒ A = B = C 3 2 4
∴ A : B : C = 3 : 2 : 4
Correct Option: B
According to question ,
8A = B × 12 = 6C⇒ 8A = 12B = 6C 24 24 24 ⇒ A = B = C 3 2 4
∴ A : B : C = 3 : 2 : 4∴ B’s share = 2 × 864 3 + 2 + 4 B’s share = 2 × 864 = $ 192 9
