1. Arvind began a business with Rs. 550. Later, Brij with Rs. 330. When did Brij join if the profit at the end of the year was divided in the ratio 10 : 3?
(a) After 4 months
(b) After 6 months
(c) After 4.5 months
(d) After 5 months
(e) None of these
Sol. Lets assume Brij remain in the business for 'x' months.
Then Arvind's share of profit = 550*12 = 6600
Brij's share of the profit = 330*x = 330x
Thus, 6600/330x = 10/3
Solving, x = 6 months.
2. A and B enters into a partnership for a year. A contributes Rs. 1500 and B Rs. 2000. After 4 months, they admit C who contributes Rs. 2250. If B withdraws his contribution after 9 months, at the end of the year they share profit in the ratio:
(a) 2 : 1 : 3
(b) 1 : 3 : 2
(c) 1 : 1 : 2
(d) 1 : 1 : 1
(e) None of these
Sol. Equivalent capitals are
1500*1 : 2000*(9/12) : 2250*(8/12)
= 1500 : 1500 : 1500 = 1:1:1
3. A and B invests in a business in the ratio of 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, then total profit is:
(a) Rs. 1576
(b) Rs. 1537.50
(c) Rs. 1500
(d) Rs. 1425
(e) None of these
Sol. Let total profit be Rs 100
A's share after charity,
= 95*(3/5) = Rs 57
Thus, if A's share is Rs 57, profit is Rs 100
Then, If A's share is Rs 855, total profit will be
= 855*(100/57) = Rs 1500.
4. A, B, C enter into a partnership investing Rs. 35000, Rs. 45000 and Rs. 55000 respectively. The respective shares of A, B, C in an annual profit of Rs. 40500 are:
(a) Rs. 13500, Rs. 16500, Rs. 10500
(b) Rs. 10500, Rs. 13500, Rs. 16500
(c) Rs. 13500, Rs. 10500, Rs. 16600
(d) Rs. 13000, Rs. 11500, Rs. 16600
(e) None of these
Sol. The profit ratio willbe same as the investment ratio as the duration of investment are same.
35000:45000:55000 = 7:9:11
Lets assume profits to be 7x, 9x & 11x.
Thus, 7x + 9x + 11x = 40500
Solving, x = 1500
Therefore, profits are 10500, 13500 & 16500.
5. A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. Find for how long B’s money was invested in the business?
(a) 1 year
(b) 9 months
(c) 6 months
(d) 10 months
(e) None of these
Sol. A's capital = k/4
B's capital = 3k/4
A & B share the total profit in the ratio 1:2
Let contribute for x months.
[(k/4)*15]/[(3k/4)*x] = 1/2
Solving, x = 10.
6. A, B and C are partners of a company. During a particular year A received 1/3 of the profit, B received 1/4 of the profit and C received remaining Rs. 5000. How much did A receive?
(a) Rs. 5000
(b) Rs. 4000
(c) Rs. 3000
(d) Rs. 1000
(e) None of these
Sol. Profit earned by C = 1 - (1/3 + 1/4) = 5/12
So, 5/12 = 5000
Thus, Profit received by A = 12000/3 = Rs 4000.
7. A began a business with Rs. 4500. Later, B joined A with Rs. 5400. When did B join if the profits at the end of the year were divided in the ratio of 2 : 1?
(a) 4 months
(b) 5 months
(c) 6 months
(d) 7 months
(e) None of these
Sol. Suppose, Bjoined after x months
Thus, 4500*12 : 5400*(12-x) = 2:1
Thus solving, k = 7.
8. A began a business with Rs. 45000. Later, B joined him with Rs. 30000. At the end of the year, the profit was divided in the ratio of 2 : 1. When did B join?
(a) 3 months after
(b) 6 months after
(c) 8 months after
(d) 9 months after
(e) None of these
Sol. Suppose, B joined after x months
Profit B joined in the ratio of,
45000*12 : 30000*x
Solving, x = 9.
9. An amount of money is to be divided among P, T and R in the ratio 3 : 5 : 7, respectively. If the amount received by R is Rs. 4,000 more than the amount received by T, what will be the total amount received by P and T together?
(a) Rs. 8,000
(b) Rs. 12,000
(c) Rs. 16,000
(d) Cannot be determine
(e) None of these
Sol. Difference of amount received by
R and T is (7-5) = 2
Total amount received by P and T
= (3+5) = 8.
Then, 2 corresponds to Rs 4000 implies
that 8 corresponds to = (4000/2)*8 = Rs 16000.
10. A and B enetered into a partnership with the investments of 25500 and 15000. At the end of 1 year B invested 9000 rs more. The total profit earned at the end of 2 yrs is 45,000 then find the difference between the shares of A and B.
A. 5000 RS
B. 6000 RS
C. 7000 RS
D. 8000 RS
E. None of these
Sol. (25500*2):(15000 + 24000)
= 17:13
Required Difference = (4/30)*45000 = Rs 6000.
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