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Maths Partnership Test.7

**Quiz Instructions:**

- There will be 20 multiple choice question in this online test.
- Answer of the questions will change randomly each time you start this test.
- Practice this test at least 3 times if you want to secure High Marks.
- At the End of the Test you can see your Test score and Rating.

1 / 20

**A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?**

2 / 20

**A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?**

3 / 20

**A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?**

Explanation:

A:B:C = (40000 * 36) : (80000 * 12 + 40000 * 24) : (120000 * 24 + 40000 * 12)

= 144:192:336 = 3:4:7

Explanation:

A:B:C = (40000 * 36) : (80000 * 12 + 40000 * 24) : (120000 * 24 + 40000 * 12)

= 144:192:336 = 3:4:7

4 / 20

**Ameen started a business investing Rs. 70,000. Rahim joined him after six months with an amount of Rs. 1,05,000 and sameer joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Ameen, Rahim and Sameer respectively, 3 years after Ameen started the business?**

Explanation:

Ameen : Rahim : Sameer = (70000 * 36) : (105000 * 30) : (140000 * 24)

= 12:15:16

Explanation:

Ameen : Rahim : Sameer = (70000 * 36) : (105000 * 30) : (140000 * 24)

= 12:15:16

5 / 20

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

Explanation:

A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3

B’s share = 25000 * 3/10 = Rs. 7500.

Explanation:

A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3

B’s share = 25000 * 3/10 = Rs. 7500.

6 / 20

**Sameena started a software business by investing Rs. 50,000. After six months, Nida joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Saneena’s share in the profit?**

Explanation:

Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4

Simran’s share = 24500 * 3/7 = Rs. 10500

Explanation:

Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4

Simran’s share = 24500 * 3/7 = Rs. 10500

7 / 20

**Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?**

Explanation:

Kamal : Sameer = (9000 * 12) : (8000 * 7)

= 108:56 = 27:14

Sameer’s share = 6970 * 14/41 = Rs. 2380.

Explanation:

Kamal : Sameer = (9000 * 12) : (8000 * 7)

= 108:56 = 27:14

Sameer’s share = 6970 * 14/41 = Rs. 2380.

8 / 20

**A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are:**

Explanation:

A:B:C = 35000 : 45000 : 55000 = 7:9:11

A’s share = 40500 * 7/27 = Rs. 10500

B’s share = 40500 * 9/27 = Rs. 13500

C’s share = 40500 * 11/27 = Rs. 16500

Explanation:

A:B:C = 35000 : 45000 : 55000 = 7:9:11

A’s share = 40500 * 7/27 = Rs. 10500

B’s share = 40500 * 9/27 = Rs. 13500

C’s share = 40500 * 11/27 = Rs. 16500

9 / 20

**Anees and Raees started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Raees’s share is:________?**

Explanation:

Ratio of their shares = 22500 : 35000 = 9:14

Raees’s share = 13800 * 14/23 = Rs. 8400.

Explanation:

Ratio of their shares = 22500 : 35000 = 9:14

Raees’s share = 13800 * 14/23 = Rs. 8400.

10 / 20

**P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?**

Explanation:

P:Q = 85000 : 15000 = 17:3.

Explanation:

P:Q = 85000 : 15000 = 17:3.

11 / 20

**X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?**

Explanation:

Investments of X, Y and Z respectively are Rs. 20000, Rs. 25000 and Rs. 30000

Let investment period of Z be x months.

Ratio of annual investments of X, Y and Z is (20000 * 12) : (25000 * 12) : (30000 * x)

= 240 : 300 : 30x = 8 : 10 : x

The share of Z in the annual profit of Rs. 50000 is Rs. 14000.

=> [x/ (18 + x)] 50000 = 14000 => [x/ (18 + x)] 25 = 7

=> 25x = 7x + (18 * 7) => x = 7 months.

Z joined the business after (12 – 7) months. i.e., 5 months.

Explanation:

Investments of X, Y and Z respectively are Rs. 20000, Rs. 25000 and Rs. 30000

Let investment period of Z be x months.

Ratio of annual investments of X, Y and Z is (20000 * 12) : (25000 * 12) : (30000 * x)

= 240 : 300 : 30x = 8 : 10 : x

The share of Z in the annual profit of Rs. 50000 is Rs. 14000.

=> [x/ (18 + x)] 50000 = 14000 => [x/ (18 + x)] 25 = 7

=> 25x = 7x + (18 * 7) => x = 7 months.

Z joined the business after (12 – 7) months. i.e., 5 months.

12 / 20

**Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?**

Explanation:

The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15

= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60

Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.

The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k

It is given that A paid Rs. 1125

45k = 1125 => k = 25

246k = 246(25) = Rs. 6150

Thus the total rent paid by all the four agencies is Rs. 6150.

Explanation:

The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15

= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60

Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.

The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k

It is given that A paid Rs. 1125

45k = 1125 => k = 25

246k = 246(25) = Rs. 6150

Thus the total rent paid by all the four agencies is Rs. 6150.

13 / 20

**P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?**

Explanation:

Ratio of investments of P and Q is 2 : 5

Total salary claimed by P = 12 * 5000 = Rs. 60000

Total profit = Rs. 2 lakhs.

Profit is to be shared = Rs. 140000

Share of P = (2/7) * 140000 = Rs. 400000

Share of Q = Rs. 100000

Total earnings of P = (60000 + 40000) = Rs. 100000

Ratio of their earnings = 1 : 1

Explanation:

Ratio of investments of P and Q is 2 : 5

Total salary claimed by P = 12 * 5000 = Rs. 60000

Total profit = Rs. 2 lakhs.

Profit is to be shared = Rs. 140000

Share of P = (2/7) * 140000 = Rs. 400000

Share of Q = Rs. 100000

Total earnings of P = (60000 + 40000) = Rs. 100000

Ratio of their earnings = 1 : 1

14 / 20

**A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?**

Explanation:

Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6

Total profit = Rs. 52000

Share of B = 6/13 (52000) = Rs. 24000

Explanation:

Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6

Total profit = Rs. 52000

Share of B = 6/13 (52000) = Rs. 24000

15 / 20

**A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?**

Explanation:

Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6

And also given that, profit share of B is Rs. 1500

=> 5 parts out of 15 parts is Rs. 1500

Now, required difference is 6 – 4 = 2 parts

Required difference = 2/5 (1500) = Rs. 600

Explanation:

Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6

And also given that, profit share of B is Rs. 1500

=> 5 parts out of 15 parts is Rs. 1500

Now, required difference is 6 – 4 = 2 parts

Required difference = 2/5 (1500) = Rs. 600

16 / 20

**A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?**

Explanation:

Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.

Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.

Let ‘P’ be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)

Total income of B = only his share from the remaining profit = ‘P’, as A and B share the remaining profit equally.

Income of A = Twice the income of B

(2500 + 18000 + P) = 2(P)

P = 20500

Total profit = 2P + 18000

= 2*20500 + 18000 = 59000

Explanation:

Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.

Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.

Let ‘P’ be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)

Total income of B = only his share from the remaining profit = ‘P’, as A and B share the remaining profit equally.

Income of A = Twice the income of B

(2500 + 18000 + P) = 2(P)

P = 20500

Total profit = 2P + 18000

= 2*20500 + 18000 = 59000

17 / 20

**A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?**

Explanation:

A : B

(8000*4)+(4000*8) : (9000*6)+(6000*6)

64000 : 90000

32 : 45

Explanation:

A : B

(8000*4)+(4000*8) : (9000*6)+(6000*6)

64000 : 90000

32 : 45

18 / 20

**A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?**

Explanation:

The ratio of their profits A:B = 8:12 = 2:3

Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000 = Rs.15000

Explanation:

The ratio of their profits A:B = 8:12 = 2:3

Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000 = Rs.15000

19 / 20

**A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?**

Explanation:

A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.

A : B

8000*18 : (8000*4) + (4000*14)

14400 : 88000

A:B = 18:11

Explanation:

A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.

A : B

8000*18 : (8000*4) + (4000*14)

14400 : 88000

A:B = 18:11

20 / 20

**A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?**

Explanation:

They should share the profits in the ratio of their investments.

The ratio of the investments made by A and B =

6000 : 8000 => 3:4

Explanation:

They should share the profits in the ratio of their investments.

The ratio of the investments made by A and B =

6000 : 8000 => 3:4