1. P and Q invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and P’s share is Rs. 855, the total profit is:
A.Rs. 1435
B.Rs. 1500
C.Rs. 1538
D.Rs. 1580
Sol. Let the total profit be Rs. 100.
After paying to charity, A’s share = Rs. 95 x 3/5 = Rs. 57.
If A’s share is Rs. 57, total profit = Rs. 100.
If A’s share Rs. 855, total profit =(100/57) x 855 = 1500.
2. Ashok being the sleeping partner receives 1/10th of profit and the remaining is divided between pramod and prakash in the ratio of 1:2..If the difference between the profit shares of Ashok and Prakash is Rs.2000.What is pramod’s share in Rs.?
A.Rs.1800
B.Rs.2200
C.Rs.1200
D.Rs.1500
Sol. let total profit =x
ashok’s share in profit is (1/10)x
remaining profit = x= (1/10)x= (9/10)x
pramod’s share= 1/3 x (9/10)x = (3/10 )x
Prakash’s share= 2/3 x (9/10)x = (6/10)x
ashok – prakash= (6/10)x -(1/10)x = (5/10)x
5/10 x = 2,000 so, x= 4000
pramod’s share= (3/10) x 4000 = 1200.
3. A and B established a firm together. A’s investment was thrice that of B’s. A also kept the investment for twice as much time as B. If B got a profit of 4000, what was the total profit?
A.30,000
B.28,000
C.40,000
D.45,000
Sol. let B’s investment= X then A’s investment= 3X
lets time for B = t then,A’s time= 2t
A:B
3X x 3t : X x t
6:1
B’s share= 1/7 x total = 4000
total=28,000.
4. In a business P and R invested amounts in the ratio 2 : 3 whereas the ratio between amount invested by P and Q was 4:2. If 2,20,500 was their profit.How much amount did R receive ?
A.1,10,250
B.1,10,000
C.1,10,200
D.1,10,150
E.None of these
Sol. P : Q = 4 : 2=> Q : P = 2 : 4
P : R = 2 : 3=> 4 : 6
P : Q : R =4 : 2 : 6
R share = (6/12)×2,20,500 = 1,10,250.
5. A ,B and C started a business with an invested amount 66,000, 72,000 and 90,000.At the end of 1 year the profit is distributed among them.If B receive profit as 22,000 then what will be the total profit ?
A)69,600
B)69,666.66
C)69,666
D)69,500.66
E)None of these
Sol. 66:72:90 => 11 : 12 : 15
B=> 12x = 22000
Total profit = 38/12 ×22,000 = 69666.66
6. Three partners shared a profit in the ratio 5:7:8.They had partnered for 10 months,8 months and 7 months. What was the ratio of their investments ?
A.28:46:60
B.28:49:64
C.24:45:63
D.25:40:64
E.None of these
Sol. 10×a : 8×b ; 7×c = 5 : 7: 8
10a/8b = 5/7 => b = 7/5 a
10a/7c = 5/8 => c = 16/7a
a:b:c = a:7/5a:16/7a = 28a:49a:64a => 28:49:64
7. A, B, C started a business with their investments in the ratio 2:4:5. After 8 months, A invested the same amount as before and both B and C withdrew half of their investments. The ratio of their profits at the end of the year is:
A)10:12:15
B)12:20:25
C)9:12:25
D)12:25:20
Sol. Investments: 2x,4x,5x
A:B:C=2x*8+2x*4 : 4x*8+(4x/2)*4 : 5x*8+(5x/2)*4
A:B:C= 12:20:25
8. A,B and C jointly engaged in a business. It was agreed that A would invest Rs. 6500 for 6months, B Rs.8400 for 5 months and C Rs.10000 for 3months. A wants to be a working partner and he was to receive 5% of the profits. The profit earned was Rs.7400. Calculate share of C.
A)Rs.1700
B)Rs.1900
C)Rs.2300
D)Rs.2000
Sol. A received 5% of the profits i.e. 5% of 7400= Rs.370
Remaining= 7400-370= Rs.7030
Ratio of investments: 6500*6 : 8400*5 : 10000*3
Ratio= 13:14:10, Share of C= (10/37)*7030=Rs.1900
9. A sum of Rs. 6600 is to be divided among three brothers A, B and C in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal. The share of C is more than that of A by ?
A. 2200
B. 2600
C. 3300
D. 2400
E. None of these
Sol. x*5*1/100 = y*5*2/100 = z*5*3/100
x:y:z = 5:10:15 = 1:2:3
The share of C is more than that of A by = 2/6 * 6600 = 2200.
10. A and B entered into a partnership with the investments of 25500 and 15000. At the end of 1 year B invested 9000 rs more. The total profit earned at the end of 2 yrs is 45,000 then find the difference between the shares of A and B.
A. 5000 RS
B. 6000 RS
C. 7000 RS
D. 8000 RS
E. None of these
Sol. (25500*2):(15000 + 24000)
= 17:13
Required Difference = (4/30)*45000 = Rs 6000.
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