CRE 4 - Partnership

Since both of them invest for the same amount of time, profit will be divided in the ratio of their investments.

Ratio of investment for Ankush and Vishal = 3000 : 5000 = 3 : 5

Hence, share of Vishal = 5/8 × 1600 = 1000.

Hence, option (d).

Since both of them invested the same amount, profit will be divided in the ratio of their time they were invested for.

Ratio of investment for Ankush and Vishal = 7 months : 12 months = 7 : 12

Hence, share of Ankush = 7/19 × 3800 = 1400.

Hence, option (b).

We know, Profit ∝ Investment × Time

Ratio of profit for Ankush and Vishal = 3000 × 7 : 5000 × 12 months = 7 : 20

Hence, share of Ankush = 7/27 × 5400 = 1400.

Share of Vishal = 5400 – 1400 = 4000.

Hence, the difference = 4000 – 1400 = 2600.

Hence, option (c).

Let their investments be Rs. x for 14 months, Rs. y for 7 months and Rs. z for 8 months respectively.

We know, Profit ∝ Investment × Time

Hence, ratio of their profit, 5 : 8 : 7 = 14x : 7y : 8z.

Now, 14x/7y = 5/8 ⇒ y = 16/5 x

And, 14x/8z = 5/7 ⇒ z = 49/20 x

∴ x ∶ y ∶ z = x ∶ 16/5 x ∶ 49/20 x = 20 ∶ 64 ∶ 49

Alternately,

We know, ratio of their profit, 5 : 8 : 7 = 14x : 7y : 8z.

⇒ x : y : z = $\frac{5}{14}:\frac{8}{7}:\frac{7}{8}$= $\frac{56\times 5}{14}:\frac{56\times 8}{7}:\frac{56\times 7}{8}$ = 20 : 64 : 49

Hence, option (c).

Let B's capital be Rs. x.

We know, Profit ∝ Investment × Time

Then, 2/3 = (10,500 × 12) / (x × 7)

⇒ x = $\frac{10,500\times 12\times 3}{7\times 2}$

⇒ x = 27,000.

Hence, option (b).

Let the total profit be Rs. 100P.

After paying to charity, A's share = Rs. 95P × $\frac{3}{5}$ = Rs. 57P

Given, A's share is Rs. 57P = 1710

⇒ P = 1710/57 = 30

Total profit = 100 × 30 = 3000

Hence, option (b).

For managing, A received = 5% of Rs. 14,800 = Rs. 740.

Balance = Rs. (14,800 - 740) = Rs. 14,060.

Ratio of their investments = (13,000 × 6) : (16,800 × 5) : (20000 × 3) = 78000 : 84000 : 60000 = 13 : 14 : 10

∴ B's share = Rs. (14,060 × 14/37) = Rs. 5320.

Hence, option (b).

Ratio of initial investments = $\frac{7}{2}:\frac{4}{3}:\frac{6}{5}$ = 105 : 40 : 36.

Let the initial investments be 105x, 40x and 36x.

∴ Ratio of profits of A : B : C = $(105x \times 4 +\frac{150}{100} \times 105x \times 8)$ : $(40x \times 12)$ : $(36x \times 12)$ = 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = Rs. (43,200 × 10/54) = Rs. 8000.

Hence, option (d).

Let C’s investment = x.

Then, B = x + 10,000 and A = x + 10,000 + 8,000 = x + 18,000.

So, x + x + 10,000 + x + 18,000 = 1,00,000

∴ 3x = 72,000

∴ x = 24,000

A : B : C = 42000 : 34000 : 24000 = 21 : 17 : 12.

∴ A's share = Rs.(1,05,000 × 21/50) = Rs. 44,100.

Hence, option (d).

Let initial investment of Ankush = 4x and that of Vishal = 3x.

Ratio of profits of Ankush and Vishal = $[4x\times 3+(4x-\frac{1}{4}\times 4x)\times 7]$ : $[5x\times 3+(5x-\frac{1}{5}\times 5x)\times 7]$

= (12x + 21x) : (15x + 28x) = 33x : 43x = 33 : 43.

Ankush's share = Rs. (1520 × 33/76) = Rs. 660.

Hence, option (c).

Let the initial investments of A and B be 3x and 5x.

A : B : C = (3x × 12) : (5x × 12) : (10x × 3) = 36 : 60 : 30 = 6 : 10 : 5.

Hence, option (c).

A : B : D = (10 × 7) : (12 × 5) : (15 × 3) = 70 : 60 : 45 = 14 : 12 : 9.

∴ D's rent = Rs. (1050 × 9/35) = Rs. 270.

Hence, option (a).

A : B : D = (40,000 × 24) : (30,000 × 24) : (40,000 × 18) = 4 : 3 : 3.

∴ B's share = Rs. (50,000 × 3/10) = Rs. 15,000.

Hence, option (d).

Let B joined for x months.

∴ P_A : P_B = I_A × T_A ∶ I_B × T_B

⇒ 1/1 = (1250 × 12)/(3750 × x)

⇒ x = 4

Hence, he joined after 12 - 4 = 8 months.

Hence, option (b).

Nirmal’s investment for 12 months = 9,000

Kapil average investment for 12 months = (12000 × 6 + 6000 × 6)/12 = 9,000

∴ Ratio of their profit = Ratio of their investment

⇒ Profit of Nirmal : Profit of Kapil = 9000 : 9000 = 1 : 1

Hence, Kapil’s profit = 1/2 × 4600 = 2300.

Hence, option (d).