In the previous article on partnerships, we learned ways to solve some typical questions on this topic. In this article, we are further going to learn more tricks that will help us solve questions in a short time.

**Tooltip 1**: If investment is in the ratio P : Q : R and the time of investment is in the ratio of x : y : z

The profit will be in ratio of Px : Qy : Rz

**Tooltip 2: **If investment is in ratio P : Q : R and the profit earned is in the ratio of x : y : z The time for investment will be in ratio of

**Example**: If investment are in ratio 3 : 5 : 7 and the profit earned is in the ratio of 4 :6 : 2. What will be the ratio of their time?

**Solution**: Using the above-mentioned concept, the ratio of their time is

**Tooltip 3: **If the profit earned on an investment by three partners is in the ratio of x : y : z and time for investment be in ratio of m : n : o then investment is in the ratio

**Example**: If profit is in ratio 3 : 2:1 and time period is in the ratio of 4 :6 : 2, what will be the ratio of their investment made?

**Solution**: Using the above-mentioned concept, ratio of their investment is =

Now let us practice some questions based on the discussed 3 tricks.

**EXERCISE:**

**Question 1: **At the beginning of a partnership business, the capital of B was times that of A. After 8 months B withdrew of his capital and after 10 months A withdrew th of his capital. At the end

of the year, if the profit incurred is Rs. 53,000, find the amount received by A.

(1) Rs. 30,800

(2) Rs. 32,000

(3) Rs. 30,000

(4) Rs. 23,000

### Answer and Explanation

**Solution: (4)**

Initially, A’s capital = Rs. x

B’s capital = Rs.

Ratio of investment of A and B = 23x : 30x

A’ share == Rs. 23000

**Question 2: **A started a business with a capital of Rs. 1,00,000. One year later, B joined him with a capital of Rs 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:

(1) Rs. 10,000

(2) Rs. 12,000

(3) Rs. 14,000

(4) Rs. 15,000

### Answer and Explanation

**Solution: (2)**

A’s investment = 100000 for 3 years =100000 × 3

B’s investment =200000 for 2 years =200000 × 2

Hence ratio of investment of A and B = 3:4

Part of profit gained by A =

Part of profit gained by B =

∴ Required difference is:

= = Rs. 12000

**Question 3:** In a business partnership among A, B, C and D, the profit is shared as follows:

If the total profit is Rs. 4,00,000, what is the share of C?

(1) Rs. 1,12,500

(2) Rs. 1,37,500

(3) Rs. 90,000

(4) Rs. 2,70,000

### Answer and Explanation

**Solution: (3)**

We have A : B = 1 : 3

B : C = 1 : 3 = 3 : 9

C 😀 = 1 : 3 = 9 : 27

∴A : B : C : D = 1 : 3 : 9 : 27

Sum of ratios = 1 + 3 + 9 + 27 = 40

∴ C’s share in profit = × 400000 = Rs. 90,000

**Question 4: **A began business with Rs. 45000 and was joined afterwards by B with Rs. 54000. After how many months did B join if the profits at the end of the year were divided in the ratio 2:1?

(1) 4

(2) 5

(3) 6

(4) 7

### Answer and Explanation

**Solution: (4)**

Let B remained in business for x months.

Ratio of equivalent capitals

= 45000 × 12 : 54000 × x

=10 : x

∴

⇒ 2x = 10 ⇒ x = 5

Clearly, B joined after (12 – 5) = 7 months.

**Question 5: **A number is divided into two parts in such a way that 80% of 1st part is 3 more than 60% of 2nd part and 80% of 2nd part is 6 more than 90% of the 1st part. Then the number is

(1) 125

(2) 130

(3) 135

(4) 145

### Answer and Explanation

**Solution: (3)**

Let the first part be Rs. x and the second part be Rs. y.

80% of 1st part is 3 more than 60% of 2nd part.

⇒

⇒ ……. (i)

When 80% of 2nd part is 6 more than 90% of the 1st part

⇒ 8y = 9x + 60

⇒ 8y – 9x = 60 ……. (ii)

By equation (i) × 8 + (ii) × 3.

⇒5x= 300

⇒x = 60

Put value in equation (i)

4 × 60 – 3y = 15

⇒ 3y = 240 – 15 = 225

⇒ y == 75

Number will be addition of both parts:

∴ x + y = 60 + 75 = 135

### Partnerships Questions: Problems on Partnerships you should solve for competitive examination preparation

Welcome to this exercise on Problems on Partnerships businesses. In this exercise, we build on the basic concepts for Partnerships in business. As you prepare for your competitive examinations, you will come across questions on Partnerships in business.Such questions need optimized tackling and can be solved with ease by using simple tricks and understanding the relationships highlighted in thisPartnerships Questions article. ThePartnerships Questions exercise comes into the picture where it gives you a chance to practice the highlighted and important concepts related to Partnerships question type.