A and B together start a business with investment of Rs. 1800 and Rs. (x + 800), respectively. If the profit earned after 5 years is Rs. 5000 and share of A is Rs. 2000, then find the value of x.
Ratio of share of profit of A : B = 1800: (x + 800) So, {1800/(x + 2600)} × 5000 = 2000 => 4500 = x + 2600 => x = 1900
The investments of A and B in a partnership are Rs. 6000 and Rs. 10000. B withdraws 40% of initial investment after T months. If annual profit is Rs. 70000 and B received Rs. 40000 as share then find value of T.
Investment of A = 6000 × 12 = Rs. 72000 Investment of B = 10000 × T + 6000 (12-T) ATQ: => 72000/(10000T + 72000 – 6000T) = (70000 – 40000)/40000 => 72/(10T + 72 – 6T) = 3/4 => 72/(4T + 72) = 3/4 => 96 = 4T – 72 => T = 24/4 = 6 months
‘A’ and ‘B’ together started a business by investing their capitals in ratio 3:2, respectively. Nine months later, they both invested Rs. 500 more. If at the end of one years, the profit was divided between ‘A’ and ‘B’ in the ratio 29:21, respectively, then find the difference between the amounts invested by ‘A’ and ‘B’, initially.
ATQ; {(3x × 9) + (3x + 500) × 3}/{(2x × 9) + (2x + 500) × 3} = 29/21 (27x + 9x + 1500) ÷ (18x + 6x + 1500) = (29/21) Or, (36x + 1500)/(24x + 1500) = 29/21 Or, 63x + 2625 = 58x + 3625 Or, 5x = 1000 Or, x = 200 Therefore, required difference = (3 × 200) – (2 × 200) = Rs. 200
A, B and C started a business with an investment of Rs.(x+200), Rs.x and Rs.800 respectively. Before 4 months, A and C left the business. At the end of a year, the profit received by B is Rs.500 out of total profit of Rs.2500. Find the initial investment of A.
Ratio of A, B and C = (x + 200) × 8 : x × 12 : 800 × 8 => (x + 200) × 2 : 3x : 800 × 2 According to question, => 3x/(5x + 2000) = 500/2500 => 2x = 400 => x = 200 The initial investment of A = x + 200 = Rs.400
Alok and Kajal started a business by investing Rs. 'X' and Rs. (X + 700), respectively. 20 months later, Kajal withdrew his entire investment. At the end of 24 months, the total profit from the business was Rs. 8,200, out of which profit share of Kajal was Rs. 1,800 more than that of Alok. Find the value of 'X'.
Number of months for which Alok invested in the business = 20 + 4 = 24 months Let the profit share of Alok out of the total profit of Rs. 8200 = Rs. 'Y' Then, profit share of Kajal out of the total profit of Rs. 8200 = Rs. (Y + 1800) So, Y + Y + 1800 = 8200 Or, Y = (8200 - 1800) ÷ 2 = 3200 So, profit shares of Alok and Kajal are Rs. 3,200 and Rs. 5,000, respectively. So, respective ratio of profit shares of Alok and Kajal = (X × 24):{(X + 700) × 20} = 24X:(20X + 14000) = 3200:5000 = 16:25 So, 24X × 25 = (20X + 14000) × 16 Or, 600X = 320X + 224000 Or, X = 224000 ÷ 280 = 800
'A' and 'B' started a business by investing Rs. 6,000 and Rs. 7,000, respectively. 1 year later, 'A' and 'B' increased their investments by 60% and Rs. 2,000 respectively. 2 years after starting the business, if the total profit earned from the business is Rs. 11850, then find the profit share of 'B'.
Increased investment of 'A' = 6000 × 1.6 = Rs. 9,600 Increased investment of 'B' = 7000 + 2000 = Rs. 9,000 So, respective ratio of profit shares of 'A' and 'B' = (6000 + 9600):(7000 + 9000) = 15600:16000 = 39:40 So, profit share of 'B' out of Rs. 11850 = 11850 × (40/79) = Rs. 6,000
'A' and 'B' started a business by investing Rs. 8,500 and Rs. 15,000, respectively. Six months later, they invited 'C' to join the business who invested Rs. 'I'. If at the end of the year, the profits were divided among 'A', 'B' and 'C' in ratio of 4:3:3, respectively, then find the value of 'I' in terms of 'P' given that 'P' = 6,000.
Ratio of profit shares of 'A', 'B' and 'C' at the end of the year = (8500 × 12):(15000 × 12):(6 × I) = 17000:30000:I ATQ; (30000/I) = (3/3) Or, I = 30,000 So, I = (30000/6000) × P = 5P
A and B invests Rs. (X-1200) and (X+1800) in a business respectively. Investment period of both of them was same. If the total profit is Rs. Y and profit share of B is 8Y/11, then find the value of X.
ATQ: => (X + 1800)/(X – 1200 + X + 1800) = 8Y/11Y => (X + 1800)/(2X + 600) = 8/11 => 11(X + 1800) = 8(2X + 600) => 11X + 19800 = 16X + 4800 => 5X = 15000 => X = 3000
P and Q start a business with initial capital of 40000 and 60000 respectively. After 8 months, R joined them in the business with initial capital of “C”. If at the end of the year the profits were distributed in the ratio of 2:3:6. Find the initial capital “C” of R.
Ratio of profit=> 40000×12 : 60000×12 : C×4 => 120000 : 180000 : C Given ratio of profit : 2:3:6 By using above information we get: 120000/2 = C/6 => C = 360000
P started a business with initial investment of Rs 4000. After 6 months, Q joined P with some initial investment. If the ratio of profit by the end of the year is 4:5, then find the investment by Q.
Ratio of profit between P and Q: 4000×12 : Q×6 => 8000:Q Given ratio of profit between P and Q=> 4:5 By using above two information: 8000/4 = Q/5 =>Q = 10000
