1. P earns Rs.22,000 more than Q every month. Q’s monthly income is Rs.32,000 less than R’s monthly income. If total monthly income of P and R together is Rs.1,10,000, what is Q’s monthly income?
A) Rs.22,000 B) Rs.50,000 C) Rs.28,000 D) Rs.26,000 E) Rs.32,000
P + Q = 110000
x + 22000 + x + 32000 = 110000
2x + 54000 = 110000
2x = 56000
x = 28000
Q’s monthly income = 28000
Ans: C
2. P, Q and R invest in a business and the share of their investment is in the respective ratio of 0.6 : 0.36 : 0.216. After 3 months from the start of the business, R withdraws two-third of his investment. If at the end of the year profit recorded was Rs.10,680, how much was Q’s profit share?
A) Rs.2,200 B) Rs.3,600 C) Rs.2,700 D) Rs.2,600 E) Rs.3,400
25 15 9
25 × 12 : 15 × 12 : 9 × 3 + 3 × 9
300 : 180 : 54
50 : 30 : 9
89 → 10680
30 → ?
Ans: B
3. Nikhil started a business investing Rs.40000. After six months Suresh joined him with an amount of Rs.60000 and after another 3 months Rakesh joined him with Rs.50000. If the profit earned at the end of 2 years is to be distributed proportionately among the three partners, in what ratio should Nikhil, Suresh and Rakesh get the profit?
A) 25 : 32 : 36 B) 5 : 8 : 9 C) 32 : 25 : 36 D) 36 : 32 : 25 E) 32 : 36 : 25
Explanation: Nikihil : Suresh : Rakesh
40000 × 24 : 60000 × 18 : 50000 × 15
32 : 36 : 25
Ans: E
4. A and B invested in a partnership with an initial investment of X and (2X – 900) respectively. After 8-month B left the business and the total profit after one year is Rs.19000, and the profit share of B is Rs.1000 more than A. Find the value of 2X.
A) 2700 B) 5400 C) 6000 D) 4500 E) 3600
Explanation: A : B
X × 12 : (2X − 900) × 8
30x = 36x − 1620
6x = 16200
x = 2700
Required value = 2x = 2 × 2700 = 5400
Ans: B
5. P, Q and R start a small business. 3/7 P contributes th of the total capital invested in the business. R contributes as much as P and Q together. Total profit at the end of the year was Rs.9240. What was Q’s profit share? (In Rupees)
A) 620 B) 525.50 C) 660 D) 750 E) 480.50
Explanation: P : Q : R
3 : 0.5 : 3.5
6 : 1 : 7
14 → 9240
1 → ?
Ans: C
6. A and B invested Rs.x & Rs.(x + 900) respectively in a business. After eight months, B left the business. At the end of a year, the total profit is Rs.5800 and profit share of B is Rs.1000 more than that of A, then find the value of the x (in Rs.)?
A) 1200 B) 1600 C) 800 D) 1000 E) 1400
Explanation: A : B
x × 12 : (x + 900) × 8
17x = 8x + 7200
9x = 7200
x = 800
Ans: C
7. A, B and C enter into a partnership in the ratio 1 : 3 : 4. After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs.90,900, what is the share of C at the end of year? (In Rs.)
A) 23400 B) 12300 C) 43200 D) 42300 E) 24300
Explanation: A : B : C
10x × 2 + 12x × 10 : 30x × 2 + 33x × 10 : 40x × 12
140x : 390x : 480x
101 → 90,900
48 → ?
Ans: C
8. R and K entered into a partnership with investment of Rs.35000 and Rs.50000 respectively. After one year, M joined them with investment of Rs.x. After one more year, R invested Rs.15000 more. At the end of the three years, they earned a certain amount of profit and ratio of their shares in the profit is 4 : 5 : 3, then find x.
A) 45000 B) 42000 C) 40000 D) 39000 E) 37000
Explanation: R : K : M
35000 × 2 + 50000 × 1 : 50000 × 3 : x × 2
120000 : 150000 : 2x
8x = 270000 + 2x
6x = 270000
x = 45000
Ans: A
9. A and B started a business by investing 30,000 together after 4 months from the start of business C joined with 30,000. The overall profit earned after one year is 5000, and A’s share in the profit is 1200. Find the investment of A. (In Rs.)
A) 18000 B) 9600 C) 13000 D) 15000 E) 12000
Explanation: A : B : C
x × 12 : (30000 − x) × 12 : 30000 × 8
3x : 90000 − 3x : 60000
19x = 30000 − 6x
25x = 300000
x = 12000
Ans: E
10. Anil and Ravi together started a business with an investment of Rs.20000 and Rs.35000 respectively. At the end of 7 months from the start of the business, Darpan joined with an investment of Rs.40000 and Ravi left. Out of the total annual profit received, if Darpan’s profit share was Rs.4000, what was the total profit received at the end of the year? (In Rs.)
A) 13700 B) 10900 C) 28000 D) 15600 E) 27400
Explanation: Anil : Ravi : Darpan
20000 × 12 : 35000 × 7 : 40000 × 5
48 : 49 : 40
40 → 4000
137→ ?
Ans: A
11. P and Q started a business, Q invested thrice that of P’s investment. At the end of 6th month from the start of the business, Q left and R joined with an investment which was two-third times of Q’s investment. If the total annual profit earned was Rs.7840, what was the P’s share in the profit?
A) Rs.3630 B) Rs.4260 C) Rs.3460 D) Rs.2240 E) Rs.2880
Explanation: P : Q : R
x × 12 : 3x × 6 : 2x × 6
2x : 3x : 2x
7x → 7840
2x → ?
Ans: D
12. X, Y and Z invest in a business and the share of their investment is in the respective2. X, Y and Z invest in a business and the share of their investment is in the respective ratio of 1/4 : 2/4 : 1/8 After 6 months from the start of the business, X withdraws half of his investment. If at the end of the year profit received was Rs.15,600, how much was Y’s profit share?
A) Rs.8,240 B) Rs.9,240 C) Rs.11,200 D) Rs.1,200 E) Rs.9,600
Explanation: X : Y : Z
1/4 2/4 1/8
2 : 4 : 1
2 × 6 × 1 × 6 : 4 × 12 : 1 × 12
3 : 8 : 2
13 → 15600
8 → ?
Ans: E
13. A, B and C started a business with investments in the ratio of 7 : 6 : 8 respectively and the period for which they invested was in the respective ratio of 6 : 4 : 1. If the annual profit received was Rs.18,500, what was the difference between A’s share and the total share of B and C together?
A) Rs.2000 B) Rs.3000 C) Rs.3500 D) Rs.2500 E) Rs.4000
Explanation: A : B : C
7 × 6 6 × 4 8 × 1
21 : 12 : 4
37 → 18500
21 − (12 + 14) → ?
Ans: D
14. M started a business with an investment of Rs.4800 after 3 months N joined with him Rs.x, then the respective ratio between the profit ratio of the M and N at the end of the year is 8 : 9, then find the value of x.
A) 7200 B) 6400 C) 6200 D) 5600 E) 11200
Explanation: M : N
4000 × 12 : x × 9
x = 7200
Ans: A
