WBBSE Class 10 Maths Arithmetic Chapter 3 Partnership Business Multiple Choice Questions

WBBSE Class 10 Maths Arithmetic Chapter 3 Partnership Business Multiple Choice Questions

Example 1. The capitals of three friends in a partnership business are ₹ 200, ₹ 150, and ₹ 250 respectively. After some time the ratio of their profit share will be

1. 5: 3: 4
2. 4: 3: 5
3. 3: 5: 4
4. 5: 4: 3

Read And Learn Also WBBSE Class 10 Maths Multiple Choice Questions

Solution: Ratio of profit = Ratio of the capitals

= 200: 150: 250 = 4: 4: 5

∴ The answer is 2. 4: 3: 5

Example 2. An invested Rs. 500 for 9 months and B invested Rs. 600 for 6 months. If total profit is Rs. 162, then B’s share of profit is

1. 90
2. 45
3. 36
4. 72

Solution: Ratio of equivalent capitals of A and B = (500 x 9) : (600 x 6) = 45 : 36 = 5 : 4

∴ Profit of B =

∴ Answer is 4. 72

Compound Interest Mcqs Class 10

Example 3. X invests 7 1000 for 9 months and Y invests some money for 6 months in a business. If total profit of the business is ₹ 243 and X gets ₹ 135 as profit, then Y’s capital in the business is

1. ₹ 600
2. ₹ 1200
3. ₹ 2400
4. ₹ 4800

Solution: Let Y invests ₹ P

Ratio of equivalent capitals = (1000 x 9) : (P x 6) = 1500 : P

‍∴ \(\frac{1500}{1500+P}\) x 243 = 135

or, P = 1200

∴ Answer is 2. ₹ 1200

Example 4. S and N started a business with capitals of ₹ 1500 and ₹1000. After a year then was a loss of ₹ 75. Loss of S is

1. ₹ 45
2. ₹ 30
3. ₹ 25
4. ₹ 40

Solution: Ratio of capitals = 1500 : 1000 = 3: 2

loss of S = \(\frac{3}{5}\) x ₹ 75 = ₹ 45

∴ Answer is 1. ₹ 45

Example 5. Fatima, Shreya, and Smita started a business by investing a total ₹ 6000. After a year Fatima, Shreva, and Smita get profit share of ₹ 50, ₹ 100, and ₹ 150 respectively. Smita invested in the business

1. ₹ 1000
2. ₹ 2000
3. ₹ 3000
4. ₹ 4000

Solution: Ratio of profit = 50 : 100 : 150 = 1:2:3

Smita invested = ₹ \(\left(\frac{3}{6} \times 6000\right)\)= ₹ 3000

∴ Answer is 3. ₹ 3000

Class 10 Arithmetic Chapter 3 Mcqs With Answers

Example 6. Amal and Bimal started a business. Amal invested ₹ 500 for 9 months and Bimal invested some money for 6 months. If they make a profit of ₹ 69 in a year and Bimal gets a profit of ₹ 46. The capital of Bimal is

1. ₹ 1500
2. ₹ 3000
3. ₹ 4500
4. ₹ 6000

Solution: Ratio of equivalent capitals = (500 x 9) : (x x 6) = 750 : x

∴ \(\frac{x}{x+750} \times 69=46\) = 46

or, x = 1500

∴ Answer is 1. ₹ 1500

Example 7. Pallabi invested ₹ 500 for 9 months and Raj invested ₹ 6000 for 5 months in a business. The ratio of their profit share will be

1. 3: 2
2. 5: 6
3. 6: 5
4. 9: 5

Solution: Ratio of profit = Ratio of equivalent capitals

= (500 x 9) : (600 x 5) = 45 : 30 = 3 : 2

∴ Answer is 1. 3: 2

Example 8. A invests ₹ 1800 for some time and B invests ₹ 1000 for 9 months. If profit of A and B is same, find for how many months does A invest money

1. 1 year
2. 6 months
3. 8 months
4. 5 months

Solution: Let the required time be x months.

Ratio of equivalent capitals = 1800 x : (1000 x 9) = 18x : 90 = x : 5

∴ \(\frac{x}{x+5}=\frac{5}{x+5}=x=5\)

∴ Answer is 4. 5 months

Wbbse Class 10 Maths Arithmetic Notes

Example 9. Profit of a business is Rs 1500. Capitals of first partner is ₹ 6000 and profit is ₹ 900. Capital of 2nd partner is

1. ₹ 4000
2. ₹ 6000
3. ₹ 9000
4. ₹ 15000

Solution: Ratio of capital = 6000 : x

ATP \(1500 \times \frac{6000}{6000+x}=900\)

or, x = 4000

∴ Answer is 1. ₹ 4000

Example 10. Capital of two friends is Rs 1000 and ₹ 1500 respectively. Profit of first friend is ₹ 200. Profit of 2nd friend is

1. ₹ 300
2. ₹ 400
3. ₹ 9000
4. ₹ 15000

Solution: Ratio of capitals = Ratio of profit

or, 1000 : 1500 = 200 : ?

or, ? = 300

∴ Answer is 1. ₹ 300