Mathmetics

ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

Q531.
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is  the share of B in the profit ?
1) Rs.1900 2) Rs.2660
3) Rs.2800 4) Rs.2840
5)None of these
Answer : Rs.2660
Explanation :
For managing, A received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000  = 13 : 14 : 10
B's share = (7030 x 14/21 ) = Rs. 2660.
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Q532.
A, B  & C enter into a partnership invetsing Rs.3800, Rs.4200 and Rs.4000 respectively. How should a profit of Rs1800 be divided among them ?
1) Rs.570 2) Rs.650
3) Rs.600 4) Rs.630
5)None of these
Answer : Rs.570
Explanation :
Profit should be divided among the partners in ratio of their investments
The ratio of A, B and C's share = 3800 : 4200 : 4000 = 19 : 21 : 20
A's share = Rs.(1800 x 19)/60 = Rs.570
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Q533.
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. How much  A receives out of a total profit of Rs. 35,000 ?
1) Rs.8400 2) Rs.11,900
3) Rs.13,600 4) Rs.14,700
5)None of these
Answer : Rs.14,700
Explanation :
Let C = x.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000
Or 3x = 36000
Or x = 12000
Then, A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
Thus,A's share = ( 3500 x 21/50) Rs. = Rs. 14,700.
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Q534.
Nirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapil's share in it ?
1) Rs.1900 2) Rs.2000
3) Rs.2300 4) Rs.2600
5)None of these
Answer : Rs.2300
Explanation :
Nirmal : Kapil = 9000 x 12 : 12000 x 6 + 6000 x 6 = 1 : 1. So, Kapil's share = Rs. (4600 x 1 / 2) = Rs. 2300.
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Q535.
Alok started a business investing Rs. 90000. After 3 months Shabir joined him with a capital of Rs. 120000. If at the end of 2 years, the total profit made by them was Rs. 96000, what will be the difference between their shares ?
1) Rs.7300 2) Rs.8000
3) Rs.20000 4) Rs.24000
5)None of these
Answer : None of these
Explanation :
Alok : Shabir = 90000 x 24 : 120000 x 21 = 6 : 7. 
Difference of their shares = Rs. (96000 x 7 / 13 - 96000 x 6 / 13) = Rs. (96000 / 13) = Rs. 7384.62. 

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Q536.
Jayant opened a shop investing Rs. 30000. They earned a profit of Rs. 54000 after completion of one year. What will be Madhu's share of profit ?

1) Rs.27000 2) Rs.24000
3) Rs.30000 4) Rs.36000
5)None of these
Answer : Rs.30000
Explanation : Jayant : Madhu = 30000 x 12 : 45000 x 10 = 4 : 5. Madhu's share = Rs. (54000 x 5 / 9) = Rs. 30000.
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Q537.
Kavita and Sunita are partners in a business. Kavita invests Rs. 35000 for 8 months and Sunita invests Rs. 42000 for 10 months. Out of a profit of Rs. 31570, Kavita's share is :

1) Rs. 18942 2) Rs. 12628
3) Rs. 9471 4) Rs. 18040
5)None of these
Answer : Rs. 12628
Explanation :
Ratio of their shares = 35000 x 8 : 42000 x 10 = 2 : 3. Kavita's share = Rs. (31570 x 2 / 5) = Rs. 12628. 

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Q538.
Three partners A, B, C invest Rs. 3600, Rs. 4500 and Rs. 54000 respectively in a business. Out of a total profit of Rs. 37500, C's share is :
1) Rs. 12500 2) Rs. 15000
3) Rs. 15500 4) Rs. 10000
5)None of these
Answer : Rs. 15000
Explanation :
A : B : C = 36000 : 45000 : 54000 = 4 : 5 : 6. C's share = Rs. (37500 x 6 / 15) = Rs. 15000.

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Q539.
Ramesh is thrice as good a workman as Bipin, and is therefore able to finish a piece of work in 40 days less than Bipin. Find the time in which they can do it working together. 

1) 14 days 2) 15 days
3) 16 days 4) 25 days
5)None of these
Answer : 15 days
Explanation :
. Let Ramesh can finish a work x days.
So, Bipin can finish the same work in 3x days.
According to equation (3x - x) = 40 days 
or x = 20 days. 
So, Ramesh can do the work in 20 days and Bipin can do the same work in 3 20 = 60 days.
If they work together day will be taken by them = (20 x 60) /(20+60) = 15days 
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Q540.
A and B can do a piece of work in 10 days and A alone can do it in 15 days. In how many days can B alone do it.
1) 30 days 2) 32 days
3) 21 days 4) 24 days
5)None of these
Answer : 30 days
Explanation :
 A and B can do a piece of in 1 day =1/10 parts.
while A can do it in 1 day = 1/15 parts.
Hence, B can do alone in ( 10 x 15)/( 15-10) = 30 days.
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