Partnership
- A started a business by investing Rs. 8000. 3 months later B joined him with Rs. 5000. If at the end of a year total profit earned was Rs. 2350. How much is the share of A more than the share of B ?
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Ratio between the investment of A and B = (8000 x 12) : (5000 x 9)
= 96000 : 45000 = 32 : 15Correct Option: D
Ratio between the investment of A and B = (8000 x 12) : (5000 x 9)
= 96000 : 45000 = 32 : 15
Total profit = Rs. 2350
∵ A's share = [32/(32 + 15)] x 2350 = Rs. 1600
∴ B's share = 2350 - 1600 = Rs. 750
∴ Required difference = 1600 - 750 = Rs. 850
- Four person decided to start a restaurant by sharing equal amount of the total investment. After some calculations they found that if they get two more equal investors, each of the four will have to pay Rs. 12000 less. What was the total investment ?
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Let investment of each person be Rs. N
Total investment of 4 people = 4 x N = Rs. 4N
Investment of each person when two more people join them = Rs. (N - 12000)
∴ Total investment of 6 people = 6(N - 12000)
∵ 4N = 6(N - 12000)Correct Option: C
Let investment of each person be Rs. N
Total investment of 4 people = 4 x N = Rs. 4N
Investment of each person when two more people join them = Rs. (N - 12000)
∴ Total investment of 6 people = 6(N - 12000)
∵ 4N = 6(N - 12000)
⇒ 4N = 6N - 72000
⇒ 2N = 72000
∴ N = 36000
Hence total investment = 4 x 36000 = Rs. 144000
- A, B and C enter into a partnership with shares in the ratio 7/2 : 4/3 : 6/5. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is ?
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Given Ratio = 7/2 : 4/3 : 6/5 = 105 : 40 : 36
Let them initially invest Rs. 105, Rs. 40 and Rs. 36 respectively.
Ratio investment = [105 x 4 + (150% of 105) x 8] : (40 x 12) : (36 x 12)
=1680 : 480 : 432 = 35 : 10 : 9Correct Option: D
Given Ratio = 7/2 : 4/3 : 6/5 = 105 : 40 : 36
Let them initially invest Rs. 105, Rs. 40 and Rs. 36 respectively.
Ratio investment = [105 x 4 + (150% of 105) x 8] : (40 x 12) : (36 x 12)
=1680 : 480 : 432 = 35 : 10 : 9
∴ B's share = Rs. 21600 x (10/54) = Rs. 4000
- If 6 (A's capital ) = 8 (B's capital) = 10 (C's capital) then the ratio of their capitals is ?
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Let 6 (A's capital) = 8 (B's capital) = 10 (C's capital) = k
Then A's capital = k/6 B's capital = k/8
and C's capital = k/10Correct Option: C
Let 6 (A's capital) = 8 (B's capital) = 10 (C's capital) = k
Then A's capital = k/6 B's capital = k/8
and C's capital = k/10
∴ Ratio of capitals of A, B, and C = (k/ 6) : (k/8) : (k/10) = 20 : 15 : 12.
- A, B and C subscribed Rs. 47,000 for a business. A subscribe Rs. 7000 more than B and B Rs. 5,000 more than C. Out of a total profit of Rs. 9,400, B receives ?
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Suppose C invests Rs. N
Then B's investment = Rs. (N + 5000)
and A's investment = Rs. (N + 12000)
From question N + (N + 5000) + (N + 12000) = 47000Correct Option: B
Suppose C invests Rs. N
Then B's investment = Rs. (N + 5000)
and A's investment = Rs. (N + 12000)
∵ N + (N + 5000) + (N + 12000) = 47000
⇒ N = 10000
Thus A : B : C = 22000 : 15000 : 10000 = 22 : 15 : 10
∴ B's share = Rs. (9400 x 15)/47 = Rs. 3000
