1. Karim invests Rs.30000 for one year in a shop. How much his partner Raunaq should invest in order that the profit after one year may be in the ratio 2: 3 ?
a. Rs.20000
b. Rs.40000
c. Rs.45000
d. Rs.18000
e. Rs 17000
2. A,B and C are three partners in a business. If twice the investment of A is equal to thrice the capital of B and the capital of B is four times the capital of C. Out of a total profit of Rs.5940, the share of C is :
a. Rs.700
b. Rs.900
c. Rs.740
d. Rs.540
e. Rs. 670
3. A invested Rs.2000/- in a firm which is half the investment of 'B's. But C's investment is sum of A and B.Find their investments ratio:
a. 3:2:1
b. 2:3:1
c. 1:2:3
d. 2:6:7
e. None of these
4. A's capital is equal to twice B's capital and B's capital is three times C's capital. The ratio of the capital is :
a. 2:1:3
b. 1:2:6
c. 6:3:1
d. 1:3:6
e. 4:7:9
5. Three partners A,B,C invest Rs.26,000, Rs.34000 and Rs.10000 respectively in a business. Out of a profit of Rs.3500, B's share is :
a. Rs.1300
b. Rs.1700
c. Rs.500
d. Rs.1500
e. Rs. 1650
6. A and B started a joint firm. A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B got Rs.4000 as profit, then their total profit is :
a. Rs.24000
b. Rs.16000
c. Rs.28000
d. Rs.20000
e. Rs. 25000
7. A, B and C enter into partnership by making investments in the ratio 3:5:7. After a year,C invests another Rs.337600 while A withdraw Rs.45600. The ratio of investments then changes to 24:59:167. How much did A invest initially ?
a. Rs.45600
b. Rs.96000
c. Rs.141600
d. Rs. 15200
e. None of these
8. A, B and C invest Rs.2000, Rs.3000 and Rs.4000 in a business. After one year, A removed his money but B and C continued for one more year. If the net profit after 2 years is Rs.3200 then A's share in the profit is :
a. Rs.1000
b. Rs.600
c. Rs.800
d. Rs.400
e. Rs 900
9. A and B enter into partnership, investing Rs.12000 and Rs.16000 respectively. After 8 months, C joins them with a capital of Rs.15,000. The share of C in a profit of Rs.45,600 after 2 years will be :
a. Rs.21,200
b. Rs.19,200
c. Rs.14,400
d. Rs.12,000
e. Rs 16,000
10. Dilip, Ram and Amar started a shop by investing Rs.27000, Rs.81000 and Rs,72000 respectively. At the end of one year, the profit was distributed. If Ram's share of profit be Rs.36,000, the total profit was :
a. Rs.1,08,000
b. Rs.1,16,000
c. Rs.80,000
d. Rs.90,000
e. None of these
11. Manoj got Rs.6000 as his share out of a total profit of Rs.9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.20,000 for 6 months, where as Ramesh invested his amount for the whole year, what was the amount invested by Ramesh ?
a. Rs.30000
b. Rs.40000
c. Rs.10000
d. Rs.5000
e. Rs. 6000
12. Rs.700 is divided among A,B and C so that A receives half as much as B and B half as much as C. Then C's share is :
a. Rs.200
b. Rs.300
c. Rs.400
d. Rs.600
e. Rs. 700
13. A and B entered into a partnership investing Rs.16000 and Rs.12000 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 :
a. Rs.1200
b. Rs.2400
c. Rs.3600
d. Rs.4800
e. Rs. 6000
14. Jayant started a business, investing Rs.6000. Six months later Madhu joined him, investing Rs.4000. If they made a profit of Rs.5200 at the end of the year, how much be the share of Madhu ?
a. Rs.2080
b. Rs.1300
c. Rs.1800
d. Rs.2600
e. Rs. 2400
15. A,B,C subscribe Rs.47000 for a business. A subscribes Rs.7000 more than B and B Rs.5000 more than C. Out of a total profit of Rs.9400, B receives:
a. Rs.4400
b. Rs.3000
c. Rs.2000
d. Rs.1737.90
e. Rs.3500
16. A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs.855, total profit is :
a. Rs.1576
b. Rs.1537.50
c. Rs.1500
d. Rs.1425
e. Rs.1645
17. A,B,C enter into a partnership with shares in the ratio 72:43:65. After 4 months, A increases his share by 50%. If the total profit at the end of one year is Rs.21600, then B's share in the profit is :
a. Rs.2100
b. Rs.2400
c. Rs.3600
d. Rs.4000
e. Rs. 5000
18. Four milkmen rented a pasture, A grazed 18 cows for 4 months; B 25 cows for 2 months, C 28 cows for 5 months and D 21 cows for 3 months. If A's share of rent is Rs.360, the total rent of the field is :
a. Rs.1500
b. Rs.1600
c. Rs.1625
d. Rs.1650
e. Rs. 1700
19. A, B and C start a business. A Invests 3 times as much as B Invests two-third of what C Invests. Then, the ratio of capitals of A, B and C:
a. 3:9:2
b. 6:10:15
c. 5:3:2
d. 6:2:3
e. 7:1:6
20. A,B,C enter into a partnership and their capitals are in the proportion of 13:14:15, A withdraws half his capital at the end of 4 months. Out of total annual profit of Rs.847, A's share is :
a. Rs.252
b. Rs.280
c. Rs.315
d. Rs.412
e. Rs.500
Answers Key:
1. C
2. D
Let C's capital = Rs.x. Then, B's capital = Rs.4x
2(A's capital)=3(B's capital)=12x
So, A's capital = 6x
A:B:C = 6x : 4x : x=6:4:1
C's share = Rs.(5940×111) = Rs.540
3. C
Let Investment of A = Rs.2000/-
Let Investment of B = Rs.4000/- (2×Rs.2000)
Let Investment of C = Rs.6000/- (2000+4000)
A:B:C = 1:2:3
4.C
Let C's capital = Rs.x. Then B's capital = 3x and
A's capital = 2×3x=6x
Ratio of capitals of A,B and C =6x : 3x : x = 6:3:1
5. B
Ratio of shares of A,B,C
=26000:34000:10000=13:17:5
B's share = Rs.(3500×1735) = Rs.1700
6. C
Suppose B invested Rs.x for y months.
Then, A's investment is Rs.3x for 2y months.
Ratio of investments of A and B = 6xy : xy = 6 : 1
Now, B's share = Rs.4000
A's share = Rs.24000
Hence, total profit = Rs.28000
7. C
Let initial investments be 3x, 5x and 7x rupees
=(3x-45600):5x:(7x + 337600)
=24:59:167
3x-456005x=2459 or x= 47200
Initial investment of A = Rs.(47200×3)=Rs.141600
8. D
A:B:C=2000×12:3000×24:4000×24=1:3:4
A's share = Rs.(3200×18)=Rs.400
9. D
Ratio of shares = 12000×24:16000×24:15000×16=6:8:5
C's share = Rs.(45000×519)=Rs.12000
10. C
Ratio of shares = 27000:81000:72000=3:9:8
If Ram's share is Rs.9, total profit = Rs.20
If Ram's share is Rs.36000
Total profit = Rs.209×36000=Rs.80000
11. D
Let the amount invested by Ramesh = Rs.x.
Then, 20000×6 : 12x=6000:3000
or 12000012x=21 or x = 5000
12. C
Let C's share = Rs.x. Then
B's share = Rs.x2
And, A's share = Rs.x4
A:B:C = x4:x2:x=1:2:4
Hence, C's share = Rs.(700×47) = Rs.400
13. C
A:B:C = Rs.(16000×3+11000×9:12000×3+17000×9+21000×6) = 7:9:6
(B's share)-(C's share)
=[(26400×922)-(26400×622)]
=(10800-7200)=Rs.3600
14. B
Ratio of their shares 6000×12:4000×6=3:1
Madhu's share = Rs.(5200×14) = Rs.1300
15.B
Suppose C invests Rs.x
Then, B's investment = Rs.(x+5000)
And A's investment = /rs.(x+12000)
x + x + 5000 + x + 12000
=47000 or x = 10000
Thus, A:B:C = 22000 : 15000: 10000
=22:15:10
B's share = Rs.(9400×1547) = Rs.3000
16. C
Let the total profit be Rs.100
After paying to charity, A's share
= Rs.(95×35)=Rs.57
If A's share is Rs.57, total profit = Rs.100
If A's share is Rs.855, total profit = Rs.(855×10057)=Rs.1500
17. D
Given Ratio = 72:43:65=105:40:36 (multiply the entire ratio by LCM (2, 3, 5) = 30)
Let them initially invest Rs.105, Rs.40 and Rs.36 respectively.
As A increase his capital by 50% after 4 months, his capital for the first 4 months is 105 and for the remaining 8 months is 150% (105).
Ratio of investments = (105×4+(150% of 105)×8) : (40×12):(36×12)
=1680:480:432=35:10:9
B's share = Rs.(21600×1054)=Rs.4000
18. C
Ratio of rents
=(18×4:25×2:28×5:21×3)
=72:50:140:63
Let total rent = Rs.x
Then, A's share = Rs.(x×72325)= Rs.(72x325)
72x325=360 or x = 325×36072=1625
19. D
Suppose C invests Rs.x. Then, B invests Rs.(2x3) and A invests Rs.(2x)
Ratio of investments of A,B,C
=2x : 23x : 2x or 6:2:3
20. B
Ratio of capitals in the beginning = 13:14:15 = 20:15:12 ( by multiplying the ratio by 60)
Ratio of investments for the whole year = (20×4+10×8):(15×12):(12×12)=40:45:36
A's share = Rs.(847×40121)= Rs.280
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