BANK & INSURANCE (PARTNERSHIP) PART 2

Total Questions: 45

41. A, B and C started a business and invested Rs.6000, Rs.3200 and Rs.4800 respectively. After 8 months, B added Rs.1600 and C withdrew Rs.400. At the end of the year, the total profit of the business is Rs.2160, then find the profit share of C?

Correct Answer: (c) Rs.700
Solution:

Profit share of A, B and C

= 6000 × 12 : (3200 × 8 + 4800 × 4) : (4800 × 8 + 4400 × 4)

= 180 : 112 : 140

= 45 : 28 : 35

Profit share of C = 2160 × 35/108 = Rs. 700

42. Bala and Pugal started a business with the investment in the ratio of 8:7. If the investment period of Bala and Pugal is 15 months and x months respectively and at the end of business, the profit share of Pugal is 40% more than the profit share of Bala, then find the investment time period of Pugal?

Correct Answer: (c) 24 months
Solution:

(8 × 15)/(7 × x) = 100/140

7x = 8 × 3 × 7

x = 24 months or 2 years

43. A, B and C started a business with the investment of Rs.x, Rs.5400 and Rs.4800 respectively. At the end of the year, the total profit of the business is Rs.11500 and the profit share of C is Rs.4000, then find the profit share of A?

Correct Answer: (c) Rs.3000
Solution:

Profit share of B and C = 5400 : 4800 = 9 : 8

Profit share of B and C = 4000 × 17/8 = 8500

Profit share of A = 11500 − 8500 = 3000

44. A and B started a business with investment of Rs.x and Rs.(x+400) respectively. After 6 months, C joined with them with an investment of Rs.(x+1400). If at the end of the year, the ratio of profit of A and B is 7:8, and then find the investment of C?

Correct Answer: (d) Rs.4200
Solution:

Investment ratio of A, B and C

= x × 12 : (x + 400) × 12 : (x + 1400) × 6

= 2x : 2x + 800 : x + 1400

2x/(2x + 800) = 7/8

16x = 14x + 5600

x = 2800

Investment of C = 2800 + 1400 = Rs. 4200

45. A, B and C started a business with the investment of Rs.3500, Rs.2100 and Rs.4000 respectively. After x months, C left the business. At the end of the year, the profit of A is Rs.3000 out of the total profit of Rs.6800, then find the value of x?

Correct Answer: (c) 7
Solution:

Ratio of the investment of A, B and C

= 3500 × 12 : 2100 × 12 : 4000 × x

= 105 : 63 : 10x

Profit share of A = Rs. 3000

Profit share of B = 3000 × 63/105 = Rs. 1800

Profit share of C = 6800 − 3000 − 1800

= Rs. 2000

10x = 63 × 2000 / 1800

x = 7