Ramesh, Rajan and Ritesh enter into partnership by making investments in the ratio 3 : 5 : 7. After a year, Ritesh invests another Rs. 337600 while Ramesh withdraws Rs. 45600. The ratio of investments then changes to 24:59:167. How much did Ramesh invest initially? (RBI Assistant 2022)
Let the initial investments of Ramesh, Rajan, Ritesh be Rs. 3x, 5x and 7x respectively. => (3x – 45600) : 5x : (7x + 337600) = 24:59:167 => (3x – 45600)/5x = 24/59 => x = 47200 ∴ Ramesh initially invested Rs. (47200 × 3) = Rs. 141600
A and B enter into a partnership with their initial sum of Rs.28000 and Rs.40000 respectively. After 8 months, a third person C also joins them with his initial sum Rs.24000. After a year if total profit is Rs.5700 then find the profit share of B.
Profit of A : B : C = 28000 x 12 : 40000 x 12 : 24000 x 4 = 7:10:2 Therefore, profit of B = (10/19) x 5700 = Rs.3000
Raj invested Rs.35000 in a business. After 7 months, Rohan joins him with an investment of Rs.P. If at the end of the year the profit is Rs.58000 and profit share of Raj is Rs.42000. Find the value of P.
Profit ratio of Raj and Rohan = 35000 x 12 : P x 5 = 84000:P According to the question, => 84000/P = 42000/(58000 – 42000) => P = Rs.32000
A invest thrice the sum invested by B and withdraws half of sum after 5 months and again withdraws half of the remaining sum after 5 months. Find ratio of profit share of A to B at the end of a year.
Let investment of B is Rs.4x. So, investment of A = Rs.12x Required ratio = (12x x 5 + 6x x 5 + 3x x 2) : 4x x 12 = 96x : 48x = 2:1
A and B started a business by investing Rs.7000 and Rs.10000 respectively. After 8 months A withdrew 50% of his investment. If at the end of the year, profit share of B is Rs.8400, then find the profit share of A.
Profit sharing ratio A and B = 7000 x 8 + 3500 x 4 : 10000 x 12 = 7:12 So, profit share of A = 8400 x (7/12) = Rs.4900
Paras and Punit started a business by investing Rs. 18,000 and Rs. 24,000 respectively. Paras also worked as the active manager and for that he is entitled to receive a commission which is equal to 30% of profit. If the difference between the amount received by Paras and Punit at the end of the year is Rs. 2000, then find the profit (before commission was given to Paras) earned by them.
Let the profit earned before commission was given to Paras be Rs. ‘100x’ Commission of Paras = 100x × 0.3x = Rs. 30x Ratio of profit shares of Paras to Punit = 18000:24000 = 3:4 Profit earned by Paras = (100x – 30x) × (3/7) = Rs. 30x Profit earned by Punit = (100x – 30x) × (4/7) = Rs. 40x According to the question 30x + 30x – 40x = 2000 Or, 20x = 2000 So, x = 100 So, required profit = 100 × 100 = Rs. 10,000
‘A’ and ‘B’ started a business by investing Rs. 6000 and Rs. 9000, respectively. 4 months later, ‘C’ joined them with an investment equal to average of initial investment made by ‘A’ and ‘B’ together. If at the end of the year, B’s profit share out of the total profit was Rs. 18,000, then find the profit share of ‘C’.
ATQ; Amount invested by ‘C’ = [(6000 + 9000)/2] = Rs. 7500 Profit shares of ’A’, ‘B’ and ‘C’, respectively at the end of the year = [(6000 × 12): (9000 × 12) :(7500 × 8)] = 6:9:5 Let the total profit received by ‘A’, B’ and ‘C’ at the end of the year be Rs. ‘P’ Profit share of ‘B’ = 18000 = (9/20) × P => P = 18000 × (20/9) = 40000 Profit share of ‘C’ = 40000 × (5/20) = Rs. 10000
A and B entered into a business investing Rs. (x + 75) and Rs. (x – 55) respectively. After one year they invested Rs. 120 more and Rs. 200 more respectively. After 2 years, ratio of the profit shares of A to B is 7:6. Find the value of x.
Ratio of profit share of A to B = [x + 75 + x + 75 + 120]:[x – 55 + x – 55 + 200] = [2x + 270]:[2x + 90] According to question; (2x + 270)/(2x + 90) = 7/6 => 12x + 1620 = 14x + 630 => 2x = 990 => x = 495
In a business there are two partners ‘P’ and ‘Q’. ‘P’ started the business with the capital of Rs. 27000 and after 3 months ‘Q’ joined him with the capital of Rs. 40000. At the end of the year find the profit share of ‘Q’ out of the total profit of Rs. 9120.
Ratio of the profits received by ‘P’ and ‘Q’ (27000 × 12):(40000 × 8) = 9:10 Therefore, profit share of ‘Q’ = 9120 × (10/19) = Rs. 4800
A and B together start a business with investment of Rs. 2100 and Rs. (x + 800), respectively. If the profit earned after 5 years is Rs. 7000 and share of A is Rs. 3000, then find the value of x.
Ratio of share of profit of A : B = 2100: (x + 800) So, {2100/(x + 2900)} × 7000 = 3000 => 4900 = x + 2900 => x = 2000
