1. Two partners invest Rs.6280 and Rs.3768 respectively in a business and agree that 30% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one partner gets Rs.700 more than the other, find the total profit made in the business?
A) Rs. 6000 B) Rs. 4000 C) Rs. 3500 D) Rs. 5500 E) Rs. 4850
2 → 700
8 → 2800
70% → 2800
Total profit 100% → 4000
Ans: B
2. A and B invested Rs. x and Rs. x + 3000 respectively in a business. After 4 months, A withdrew half of his money and B added Rs.2000 to his initial investments. After 4 more months, A added Rs.7500 and B withdrew Rs.5000. At the end of 1 year from the beginning, if the difference between profit share of B and A is Rs.22000, then find 50% of x?
A) Rs.3000 B) Rs.2500 C) Rs.1800 D) Rs.3200 E) Rs.2200
4x + 2000 = 22000
x = 5000
50% of x = 2500
Ans: B
3. J, K and L started the business and the ratio of the investment of K and J is 3 : 2 and the investment of L is equal to the sum of the investment of J and K. The ratio of the investment period of K and J is 3 : 2 and the investment period of L is 4 months less than the investment time of K. If the profit ratio of K and L is 9 : 10, then find for how many months did J invest?
A) 3 B) 6 C) 4 D) 8 E) 9
Explanation: J : K : L
2 × 2x 3 × 3x 5 × (3x − 4)
4x 9x 15x − 20
90x = 135x − 180 ⇒ x = 4
Invest time of J = 2x = 2 × 4 = 8
Ans: D
4. Raju, Ali and Jyothi entered into a partnership with investment of Rs.5000, Rs.6500 and Rs.8000 respectively. After one-year Suraj joined them with an investment of Rs.14000. After one more year. Ali invested Rs.1500 more. After one more year, Jyothi withdrew Rs.3500. At the end of four years from the start of business, they earned a certain amount of profit. Share of Raju in the profit is what percent of the share of Suraj in the profit? (approximately)
A) 25% B) 27% C) 48% D) 40% E) 35%
Explanation:
Raju : Ali : Jyothi : Suraj
5000 × 4 6500 × 2 8000 × 3 14000 × 3
+ +
8000 × 2 4500 × 1
20,000 : 29000 : 28500 : 42000
40 : 58 : 57 : 84
Ans: C
5. Investment of Satish is 60% more than the investment of Sridhar and ratio of time of investment of Satish to that of Sridhar is 3 : 5. If the total investment of Satish and Sridhar is Rs. 78,000 and the profit share obtained by Satish is 25% less than his investment amount then find the sum of the profit earned by Sridhar and profit earned by Satish?
A) Rs.73500 B) Rs.64500 C) Rs.82000 D) Rs.96500 E) Rs.60000
Explanation: Satish : Sridhar
48000 × 3 30,000 × 5
24 : 25
24 → 36000
49 → 73500
Ans: A
6. A and B started a business by investing Rs.14,000 and Rs.18,000 respectively. At the end of 2nd month from the start of the business C joins with an amount which is three-fifth the total investment by both A and B together. After 6 months from the start of the business. A withdraws Rs.2000 and B withdraws Rs.4000. If the profit received after 10 months is Rs.16,860, what is C’s share in the profit?
A) Rs.5760 B) Rs.4800 C) Rs.7680 D) Rs.4992 E) Rs.5376
7. A, B and C are invested in a business. A invested Rs. X and B investment is 50% of C’s investment. If B’s investment would be 75% of C’s investment. Then A’s investment becomes Rs. Y & investment share of B and C becomes 70%. Find the ratio of X and Y? Note: Total investment in both the schemes is same.
A) 5 : 2 B) 4 : 3 C) 6 : 5 D) 5 : 7 E) 7 : 6
Explanation:
A B : C
X 4 : 2
Y 3 : 4
(3 + 4) → 70%
3 →30%
Y = 3
A B : C
3 3 : 4 = 10
4 : 4 : 2 = 10
X : Y = 4 : 3
Ans: B
8. Sharmila, Urmila and Manali entered into a partnership with investment in the ratio of 4 : 6 : 7 respectively. After a year, Vennela joined them with an investment of 83 (1/3) % of the initial investment of Urmila. After one more year, Sharmila withdraws half of her initial investment while Urmila invested 50% more. At the end of three years, they earned a total profit of Rs.3,72,000. Find the difference between the profit share of Urmila and Vennela?
A) Rs.72000 B) Rs.66000 C) Rs.30000 D) Rs.86700 E) Rs.45000
Explanation:
Sharmila : Urmila : Manali : Vennela
4 × 2 + 2 × 1 : 6 × 2 + 9 × 1 : 7 × 3 : 5 × 2
62 → 372000
(21 − 10) → 66000
Ans: B
9. A started a business by investing Rs.35000. At the end of 7th month from the start of the business B joined with Rs.24000 and at the end of 9th month from the start of the business C joined with Rs.30000. If the B’s share in profit at the end of the year was Rs.4480, what was the total profit received?
A) Rs.24780 B) Rs.24360 C) Rs.23310 D) Rs.23520 E) Rs.24150
Explanation:
A : B : C
35000 × 12 : 24000 × 5 : 30000 × 3
7 4 8 6 2 4
14 : 4 : 3
4 → 4480
21 → 23520
Ans: D
10. A started a business by investing Rs.16000. After 2 months of starting the business, B joins A with Rs.14,000. Similarly, C joins the business after 4 months (from B joins) with the investment of Rs.12000. At the end of 10 months from the start of business. The total profit earned in the business is Rs.8000 and C gets an additional profit of Rs.1800 apart from his share of profit in the business. What is the total profit earned by C?
A) Rs.3000 B) Rs.2820 C) Rs.2730 D) Rs.3200 E) Rs.3500
Explanation:
A : B : C
16000 × 10 14000 × 8 12000 × 4
10 7 3
Total profit → 8000 − 1800 = 6200
20 → 6200
3 → 930
Total C’s profit = 930 + 1800 = 2730
Ans: C
11. Shiva and Sathya entered in to a partnership with an investment of Rs.3600 and Rs.4200 respectively. Shiva invested for 3 months less than Sathya. If the ratio of profit of shiva and Sathya is 9 : 14, then find the period of shiva investment?
A) 12 B) 9 C) 6 D) 3 E) 18
Explanation:
Shiva : Sathya
3600 × (x − 3) : 4200 × x
6(x − 3) 7x
x − 18 : 7x
84x − 252 = 63x
21x = 252
x = 12
Shiva time period = 12 − 3 = 9 months
Ans: B
12. A starts a business with a capital of Rs.1500. B joins the business 6 months later from the start of the business and C joins the business 8 months later from the start of the business. End of the year their respective share in profit was in ratio of 5 : 3 : 3. What is the sum of amount put in the business by B and C together?
A) Rs.3300 B) Rs.4800 C) Rs.4500 D) Rs.3500 E) Rs.4200
Explanation:
A B C
1500 × 12 : x × 6 : y × 4 6 3 2
Investment: 9000 : 3x : 2y
Profit: 5 : 3 : 3
5 → 9000
3 → 5400 ← 3x ⇒ x=1800
3 → 5400 ← 2y ⇒ y = 2700
nvestment of B & C = 1800 + 2700
= 4500
Ans: C
