21.

Ravi, Naresh and Raju started a business in which Ravi invested Rs. 18,000/-, Naresh invested Rs. 22,000/ and Raju invested Rs. 30,000/-. At the end of the year profit received by them is Rs. 14,000/-. What is the difference between the profits Ravi and Raju?

**Answer: Option 'B'**

~~18000~~ : ~~22000~~ : ~~30000~~

9 : 11 : 15

The difference between Ravi and Raju 15 - 9 = 6

total 35 --------> 14000

only 6 ---------> ?

(6/35) × 14,000 = 2400/-

22.

A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

**Answer: Option 'D'**

**Let C = x.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000
3x = 36000
x = 12000
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
A's share = Rs. (35000 x 21/50) = Rs. 14,700.**

23.

A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.1,20,000. At the end of the year, out of a total profit of Rs.3,75,000, C gets Rs.1,50,000 as his share. How many months after B joined the business, did C join?

**Answer: Option 'B'**

**Assume that C was there in the business for x months
A:B:C = 40000 × 12 : 60000 × 10 : 120000 × x
= 40 × 12 : 60 × 10 : 120x = 40 : 5 × 10 : 10x
= 8 : 10 : 2x
= 4 : 5 : x
C's share = 375000 × x/(9+x) = 150000
=> 375x/(9+x) = 150
=> 15x = 6(9+x)
=> 5x = 18 + 2x
=> 3x = 18
=> x = 18/3 = 6
It means C was there in the business for 6 months. Given that B joined the business
after 2 months. Hence C joined after 4 months after B joined**

24.

If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive

**Answer: Option 'B'**

**Let P's capital = p, Q's capital = q and R's capital = r
Then
4p = 6q = 10r
=> 2p = 3q = 5r
=>q = 2p/3
r = 2p/5
P : Q : R = p : 2p/3 : 2p/5
= 15 : 10 : 6
R's share = 4650 × (6/31) = 150 × 6 = 900**

25.

A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

**Answer: Option 'B'**

**A : B : C = 20000 × 24 : 15000 × 24 : 20000 × 18 = 20 × 4 : 15 × 4 : 20 × 3
= 4 × 4 : 3 × 4 : 4 × 3
= 4:3:3
B's Share = 25000 × 3/10 = 7500/-
**

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26.

A,B and C started a business in which A invested Rs.20000/- for 2year, B invested Rs.30000/- for 3 years, C invested Rs.40000/- for 4 years. At the end of the profit received by them is Rs.11,600/-. What is B’s share?

**Answer: Option 'A'**

**A = Rs.20000/- per 2 year
B = Rs.30000/- per 3 years
C = Rs.40000/- per 4 years
= 20000 × 2 : 30000 × 3 : 40000 × 4
= 4 : 9 : 16
Total = 29 parts -----> Rs.11600/- (profit)
= 1 part ------> Rs.400/-
Then, B's share is
= 9 part = Rs.400/- × 9 parts = Rs.3600/- **

27.

A,B started a business by investing Rs.4000/- and Rs.5000/-. A is working and B is sleeping partner. A gets 10% of profits for managing, the rest being divided in proportion to their capitals out of a total profit of Rs.9,000/-. The money received by B is:?

**Answer: Option 'D'**

**A = Rs.4000/-
B = Rs.5000/-
Then, A : B = 4 : 5
Total profit = Rs.9000/-
10 % of 9000 = Rs.900/-
A's Salary = Rs.900/-
remaining amount = 8100/-
Total parts = 9
9 parts -----> Rs.8100/-
1 part ------> Rs.900/-
B's share = 5 parts
= 5 parts -----> Rs.4500/-**

28.

In a business A invested 1/3rd of total investment in 1/3rd of period of invested, B invested 1/4th of total investment in 1/4th of period of investment and remaining was invested by C in remaining period. Then the ratio’s between their shares is:

**Answer: Option 'C'**

**share's ratio = A : B : C = 4 : 3 : 5
=Time ratio == A : B : C = 4 : 3 : 5
=profit ratio = A : B : C = 16 : 9 : 25 **

29.

A invested Rs 76000 in a business. After few months, B joined him with Rs 57000. The total profit was divided between them in the ratio 2 : 1 at the end of the year. After how many months did B join?

**Answer: Option 'B'**

**Answer: Option 'B'
Assume that B joins for x months . Then
A : B = 76000 × 12 : 57000 × x = 2:1
=> 76 × 12 : 57x = 2:1
=> 76 × 12/57x = 2/1 = 2
=> x = 76 × 12/57 × 2 = 76 × 4/19 × 2 = 8
Hence B was there in the business for 8 months, or joined after 12-8 = 4 months**

30.

A, B and C start a business with their investments in the ratio 3 : 2 : 1. A leaves after 6 months and B leaves after 9 months. Find the ratio of profits at the end of a year.

**Answer: Option 'B'**

**Ratio of the profits = (3 × 6) : 2 × 9) : (1 × 12)
=> 18 : 18 : 12 = 3 : 3 : 2**

31.

P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is

**Answer: Option 'B'**

**Let the amount invested by Q = q
40000 : q = 2 : 3
=> 40000/q = 2/3
=> q = 40000 × (3/2) = 60000**

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32.

A and B started a business by investing Rs.4000/- and Rs.5000/- respectively. Find the A’s share out of a total profit of Rs.1800:

**Answer: Option 'C'**

**A = Rs.4000/-
B = Rs.5000/-
A share 4 parts & B share 5 parts
Total 9 parts -----> Rs.1800/-
----> 1 part -------> Rs.200/-
A share = 4 parts -----> Rs.800/-**

33.

A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?

**Answer: Option 'C'**

**Assume that the total profit is x.
Since 5% goes for charity, 95% of x will be divided between A and B in the ratio 3: 2
=> A's profit = (95x/100) × (3/5) = 855
=> 95x/100 = 855 × 5/3 = 285 × 5 = 1425
=> x = 1425 × 100/95 = 285 × 100/19 = 1500
Hence the total profit = 1500**

34.

A,B and C started a business by investing Rs.2000/- , Rs.3000/- and Rs.4000/- respectively. Total profit is Rs.4500/-. Find the A’s share?

**Answer: Option ''**

**A = Rs.2000/- , that is 2 parts
B = Rs.3000/- , that is 3 parts
C = Rs.4000/- , that is 4 parts
Total 9 parts -------> profit (4500/-)
----->1 part -------->Rs.500/-
then A's share 2 parts ----- > Rs.1000/- **

35.

A,B and C started a business in which A invested Rs.2000/- for 1year, B invested Rs.3000/- for 1 1/2 years, C invested Rs.4000/- for 2 years. At the end of the profit received by them is Rs.14500/-. What is C’s share?

**Answer: Option 'C'**

**A = Rs.20000/- per 12 months
B = Rs.30000/- per 18 months
C = Rs.40000/- per 24 months
= 20000 × 12 : 30000 × 18 : 40000 * 24
= 4 : 9 : 16
Total = 29 parts -----> Rs.14500/- (profit)
= 1 part ------> Rs.500/-
Then, C's share is
= 16 part = Rs.500/- × 16 parts = Rs.8000/- **

36.

A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion.

**Answer: Option 'A'**

**Initial investment capital ratio of A and B = 3 : 5
Hence we can assume that initial capital of A and B are 3x and 5x respectively.
Amount that C invest after 6 months = 5x (Since it is equal to B's investment)
Ratio in which profit should be distributed after 1 year = 3x × 12 : 5x × 12 : 5x × 6
=> 3 × 12 : 5 × 12 : 5 × 6
= 6 : 10 : 5**

37.

A and B starts a business investing Rs.85000 and Rs.15000 respectively. Find out the ratio in which the profit s should be shared.

**Answer: Option 'C'**

**Here A's and B's capitals are there for equal time. Hence
A : B = 85000 : 15000
= 85 : 15
= 17 : 3**

38.

A, B and C rent a pasture. A grazed his 35 cows for 20days, B grazed his 20 cows for 30 days and C grazed his 30 cows for 15 days. If A paid Rs. 1050 as rent , find the rent paid by them.

**Answer: Option 'B'**

**Let the rent per cow per day be Rs.x
A's rent = 34 × 20x
700x = 1050
x = 1.5
Total rent = 1050 + 600x + 450x = 1050 + 900 + 675 = **

39.

A,B and C started a business by investing Rs.1400/- , Rs.4200/- and Rs.7000/- respectively. Total profit is Rs.8100/-. Find the C's share?

**Answer: Option 'D'**

**A = Rs.1400/- , that is 1 parts
B = Rs.4200/- , that is 3 parts
C = Rs.7000/- , that is 5 parts
Total 9 parts -------> profit (8100/-)
1 part --------> Rs.900/-
then C's share
5 parts -----> Rs.4500/-,**

40.

A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

**Answer: Option 'B'**

**Let B joins for x months. Then
A:B = 85000 × 12 : x × 42500 = 3 : 1
=> 850 × 12 : 425x= 3 : 1
=> 850 × 12/ 425x = 3/1 = 3
=> 850 × 4 /425x = 1
=> 2 × 4/x = 1
=> x = 8**

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