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- Question
Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?
Options- A. Rs. 1100
- B. Rs. 500
- C. Rs. 1200
- D. Rs. 700
- Correct Answer
- Rs. 500
ExplanationLet the amounts to be received by P, Q and R be p, q and r.
p + q + r = 1200
p = 1/2 (q + r) => 2p = q + rAdding 'p' both sides, 3p = p + q + r = 1200
=> p = Rs.400q = 1/3 (p + r) => 3q = p + r
Adding 'q' both sides, 4q = p + q + r = 1200
=> q = Rs.300r = 1200 - (p + q) => r = Rs.500.
- 1. A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A ?
Options- A. Rs. 240
- B. Rs. 75
- C. Rs. 125
- D. Rs. 354 Discuss
- 2. A & B invest Rs. 1,16,000 & 1,44,000 respectively. B invests for 6 months. At the end of the year, B?s share is Rs. 9000, find the overall profit?
Options- A. Rs. 23,500
- B. Rs. 19,780
- C. Rs. 21,700
- D. Rs. 20,050 Discuss
- 3. Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
Options- A. Rs 200
- B. Rs 300
- C. Rs 400
- D. Rs 500 Discuss
- 4. In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 1,57,300 was their profit, how much amount did B receive ?
Options- A. 48400
- B. 54200
- C. 64000
- D. 74000 Discuss
- 5. Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh?
Options- A. Rs. 5000
- B. Rs. 6200
- C. Rs. 8100
- D. R. 7600 Discuss
- 6. Rohith started a business by investing Rs. 3600. After somedays, Puneeth joined him by investing Rs. 2400. At the end of one year, the profit was divided in the ratio 2 : 1. After how many months did Puneeth join the business?
Options- A. 2 months
- B. 2.5 months
- C. 3 months
- D. 3.5 months Discuss
- 7. K and L start the business, with L investing the total capital of Rs. 40,000 on the condition that K pays L interest @ 8% per annum on his half of the capital. L is a working partner and receives Rs.1200 per month from the total profit and any profit reamaining is equally shared by both of them. At the end of the year, it was found that the income of L is twice that of K. Find the total profit for the year ?
Options- A. Rs.44000
- B. Rs.46400
- C. Rs.480800
- D. Rs.46000 Discuss
- 8. A and B entered into a partnership investing Rs. 13,000 and Rs. 12,000 respectively.After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more, After 3 more months, C joins the business with a capital of Rs. 21,000, The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by
Options- A. 3500
- B. 3600
- C. 3700
- D. 3800 Discuss
- 9. A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Options- A. 10000 and 15000
- B. 15000 and 10000
- C. 5000 and 20000
- D. 20000 and 5000 Discuss
- 10. 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 Discuss
Partnership problems
Search Results
Correct Answer: Rs. 240
Explanation:
The ratio of A & B investments = (3x8 + 2x4):(4x8 + 5x4)
=> 8:13
=> 8/21 x 630 = 240.
Correct Answer: Rs. 23,500
Explanation:
Given A & B in partnership
A Invests 116000 for 12 months
=> A's share = 116000 x 12 = 13,92,000
B Invests for 6 months
=> B's share = 144000 x 6 = 8,64,000
Their Ratio = 1392 : 864 = 29 : 18
Let the Annual profit = P
Given B's share = Rs. 9000
=> 18/47 x P = 9000
=> P = 9000 x 47/18
=> P = 23,500
Hence, Overall profit = P = Rs. 23,500
Correct Answer: Rs 400
Explanation:
Let C = x.
Then B = x/2
and A = x/4
A:B:C = 1:2:4.
C's share Rs.[(4/7)*700) = 400
Correct Answer: 48400
Explanation:
A : B = 3 : 2 => B : A = 2 : 3 = 4 : 6 and A : C = 2 : 1 = 6 : 3.
So, B : A : C = 4 : 6 : 3 or A : B : C = 6 : 4 : 3.
B's share = Rs. (157300 x 4/13 ) = Rs. 48400.
Correct Answer: Rs. 5000
Explanation:
Let the amount invested by saketh = RS. p
Now, that of sandeep = 20,000 x 6
saketh = 12 x p
Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000)
=>
Hence, the amount investe by saketh = Rs. p = Rs. 5000.
Correct Answer: 3 months
Explanation:
Ratio of profit of Rohith and Puneeth = 3600 x 12 : 2400 x P
= 3600 x 12/2400P = 2/1
=> P = 9
So, Puneeth joined the business after (12 - P) = 12 - 9 = 3 months.
Correct Answer: Rs.46400
Explanation:
Interest received by L from K = 8% of half of Rs.40,000
Amount received by L per annum for being a working partner = 1200 x 12 = Rs.14,400
Let 'A' be the part of remaing profit that 'L' receives as his share.
Total income of 'K' = only his share from the reamaing profit
= 'A', as both share equally.
Given income of L = Twice the income of K
--> (1600 + 14400 + A ) = 2A
--> A= Rs.16000
Thus total profit = 2A + Rs.14,400= 2(16000) + 14400
= 32000 +14400 = Rs.46,400.
Correct Answer: 3600
Explanation:
A : B : C = (16000 * 3 + 11000 * 9) : (12000 * 3 + 17000 * 9) : (21000 * 6)
= 147 : 189 : 126
= 7 : 9 ; 6.
Difference of B and C's shares = Rs. ( 26400 * 9/22 - 26400 * 6/22 ) = Rs. 3600.
Correct Answer: 10000 and 15000
Explanation:
As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested.
Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3.
Hence, share of A in the total profit = 2 x 25000/5 = Rs.10000
Similarly, share of B in the total profit = 3 x 25000/5 = Rs.15000
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
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