Partnership problems
- 1. Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?
Options- A. 11/3
- B. 2/13
- C. 3/11
- D. 13/4 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 3/11
Explanation:
Let Veena paid x,
so Akshitha paid 2x/3 , and Lasya paid 2x,
So total bill paid is given by
x+(2x/3) +2x = 1, we get
i.e. x = 3/11
- 2. Three milkmen rented a pasture. A grazed 24 cows for 4 months; B 10 cows for 6 months; C 56 cows for 5 months. If A's share of rent is Rs. 960, find the total rent of the field?
Options- A. 4530
- B. 4440
- C. 4360
- D. 4280 Also asked in: CAT, Bank PO
Correct Answer: 4360
Explanation:
Ratio of shares of A,B,C = (24 x 4) : (10 x 6) : (56 x 5)
= 96 : 60 : 280.
Let total rent be Rs. x. Then, A's share =
Hence total rent of the field is Rs. 4360.
- 3. R enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, P increases his share 20% and Q by 10%. If the total profit at the end of one year is Rs 1,90,500, what amount will 'R' receive at the end of year as share in profit ?
Options- A. Rs. 90500
- B. Rs. 87500
- C. Rs. 88900
- D. Rs. 90000 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 90000
Explanation:
Ratio of investments for 1 year
=> (P : Q : R) = (2x2 + 2.4x10) : (3x2 + 3.3x10) : (5x12)
=> (P : Q : R) = 28 : 39 : 60
Now R share = 190500 x 60/127 = Rs. 90000.
- 4. Arun, Bharat and Chari started a business in a partnership with investment of Rs 12000, Rs 26000 and Rs 32000 respectively. After 4 months Arun leaves. After 6 months Bharat leaves and Arun joins with an amount equal to his earlier investment. After 10 months, Chari leaves and Bharat joins with his prior investment. At the end of the year they earn a profit of Rs 53622. Find the share of chari in the annual profit?
Options- A. 16547
- B. 17212
- C. 14875
- D. 27848 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 27848
- 5. Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ?
Options- A. Rs. 5422
- B. Rs. 5489
- C. Rs. 4511
- D. Rs. 6145 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: Rs. 4511
Explanation:
Now as per question, Karan invested for 12 months and Satish invested for 7 months.
So, Karan:Satish = (29000 x 12):(18000 x 7)
= 348:126
= 58:21
Satish Ratio in profit will be= = Rs. 4511
- 6. K and L start a business jointly. K invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit L claims 2/7th share. How much money is contributed by L?
Options- A. Rs. 13,204
- B. Rs. 14,521
- C. Rs. 12,800
- D. Rs. 15,000 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: Rs. 12,800
Explanation:
Given share of L is 2/7 th of profit. Then, their profits are divided in to 5:2 ratio.
Ratio of K and L is
x = Rs. 12,800.
- 7. Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?
Options- A. Rs.2010
- B. Rs.2200
- C. Rs.2000
- D. Rs.2100 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs.2000
Explanation:
Let money invested by Raghu = Rs. x
Money invested by Trishul = 9/10 x = 0.9x
Money invested by Vishal = 9/10x * 110/100 = 0.99x
Also, x+0.9x+0.99x = 5780
= x= 5780/2.89 = 2000
Therefore, amount invested by Raghu is Rs. 2000.
- 8. Rushi and Arun are two business partners. They invest their capital in the ratio 7 : 9. After 6 months, a third person Ram joins them with a capital of two third of that of Arun. After a year, profit share of Rushi was Rs. 5600, then find total profit?
Options- A. 26,250
- B. 19,200
- C. 18,650,
- D. 15,200 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, IT Trainer
Correct Answer: 15,200
Explanation:
Ratio of investment of all the three members = (7 x 12) : (9 x 12) : (2/3 x 9 x 6)
= 7 : 9 : 3
Given Rushi's one year profit = Rs. 5600
=> Let the total profit = Rs. P
Then,
P x 7/19 = 5600
Total profit P = 19 x 5600/7 = Rs. 15,200.
- 9. Two persons K and L enter into a business by investing their sum in the ratio of 7 : 9. After 7 months, L leaves the business. After eleven month, if total profit is Rs. 2460, what is the profit share of L (in Rs)?
Options- A. Rs, 1109
- B. Rs. 1107
- C. Rs. 1111
- D. Rs. 1113 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 1107
Explanation:
From the given data,
K's profit : L's profit = 7x x 11 : 9x x 7
= 11:9
Therefore, L's profit = 9 x 2460/20 = Rs. 1107
- 10. Rs. 2018 are to be divided among P, Q and R in such a way that if P gets Rs. 5 then Q must get Rs. 12 and if Q gets Rs. 4 then R must get Rs. 5.50. The share of R will exceed that of Q by
Options- A. Rs. 127
- B. Rs. 271
- C. Rs. 721
- D. Rs. 217 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 271
Explanation:
ATQ,
P : Q = 5 : 12 = 10 : 24
Q : R = 4 : 5.5 = 24 : 33
P:Q:R = 10 : 24 : 33
Sum of the ratios = 10 + 24 + 33 = 67
Difference between the share of R & Q
= (33-24/67 x 2018)
= 9/67 x 2018
= Rs. 271.
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