Aptitude Contest - 8 With Answers

[sowmya571]

hello



10. Three partners shared the profit in a business in the ratio 5 : 7 :
8. They had partnered for 14 months, 8 months and 7 months
respectively. What was the ratio of there investments







(a) 5 : 7 : 8



(b) 28 : 49 : 64



(c) 38 : 28 : 21



(d) None of these



ans d

[sowmya571]

hello



7.. A starts business with Rs. 3500 and after 5 months, B joins with A as his ~-:



After a year, the profit is divided in the ratio 2 : 3. What is B's contribution -=



capital?





(a) Rs. 7500



(b) Rs. 8000



(c) Rs. 8500



(d) Rs. 9000



ans d

[sowmya571]

hello



8. A and B start a business jointly. A invests Rs. .16,000 for 8 months
and B remains in the business for 4 months. Out of total profit, B
claims 2/7 of the profit. How money was contributed by B ?







(a) Rs. 10,500



(b) Rs. 11,900



(c) Rs. 12,800



(d) Rs. 13,600



ans c



9. Two friends P and Q started a business investing in the ratio of 5 :
6. R joined them after six months investing an amount equal to that of
Q's. At the end of the year 20% profit was earned which was equal to
Rs. 98,000. What was the amount invested by R ?







(a) Rs. 1,05,000



(b) Rs. 1,75,000



(c) Rs. 2,10,000



(d) Data inadequate



(e) None of these







ans d (please explain i feel d is ans)

[sowmya571]

hello





4. A and B started a business jointly. Ns investment was thrice
the investment of B and the period of his investment was two
times the period of investment of B. If B recived Rs. 4000 as
profit, then their total profit is :







(a) Rs. 16,000



(b) Rs. 20,000



(c) Rs. 24,000



(d) Rs. 28,000



ans d



5. A started a business with Rs. 21,000 and is joined afterwards by B
with Rs. 36,000 After how many months did B join if the profits
at the end of the year are divided



equally?







(a) 3



(b) 4



(c) 5



(d) 6

ans c

[sowmya571]

hello




hello





1. Manick received Rs. 6000 as his share out of the total profit
of Rs. 9000 which he and Raunaq earned at the end of one year. If
Manick invested Rs: 20,000 for 6 months,whereas Raunaq invested his
amount for the whole year, what was the amount invested by Raunaq ?





(a) Rs. 4000





(b) Rs. 5000





(c) Rs. 6000





(d) Rs. 9000





Ans B







(a) Rs. 80,000





(b) Rs. 95,600





(c) Rs. 1,08,000





(d) Rs. 1,16,000





ans a

[sowmya571]

hello



2.. A, B and C enter into a partnership with a capital in
which Ns contribut~ 8.



Rs. 10,000. If out of a total profit of Rs. 1000, A gets
Rs. 500 and B gets Rs. 300, :=Ja



C's capital is :







(a) Rs. 4000



(b) Rs. 5000



(c) Rs. 6000



(d) Rs. 9000



Ans a i guess





3 . A, Band C started a shop by investing Rs. 27,000, Rs.
72,000 and Rs. 81,000:



respectively. At the end of the year, the profits were
distributed among them. If C’s



share of profit be Rs. 36,000, then the total profit was:



'



(a) Rs. 80,000



(b) Rs. 95,600



(c) Rs. 1,08,000



(d) Rs. 1,16,000


ans a

[keerthi]

4. A and B started a business jointly. 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 recived Rs. 4000 as profit, then their total profit is :


(a) Rs. 16,000


(b) Rs. 20,000


(c) Rs. 24,000


(d) Rs. 28,000


Let B's investment be ='x'
then A's investment = 3x


Let the period of B is 't'
then A's period =2t


Let A's profit be P


now xt:6xt = 4000:P
P =24000
Total profit = 24000+4000=28000

[keerthi]

5. A started a business with Rs. 21,000 and is joined afterwards by B with Rs. 36,000 After how many months did B join if the profits at the end of the year are divided


equally?


(a) 3


(b) 4


(c) 5


(d) 6


Ans)C


Let B joined after 'x' months.
Now A's investments for 12months =B's investment for 12-x months.


21000*12=36000*(12-x)
solving we get x= 5

[keerthi]

6. A begin with business with 85,000. He was joined afterwards by B with Rs. 36,000
after how much period does B join, if the profits at the end of the year are divided inin to ratio of 3:1


(a) 4 months


(b) 5 months


(c) 6 months


(d) 8 months


Profits are in the ratio 3:1
So A's investment is 3 times that of B


Let B joined for 'x'months.


85,000*12 = 3[36000*(x)]


x>9
I think answer is not given

[keerthi]

7.. A starts business with Rs. 3500 and after 5 months, B joins with A as his partner.After a year, the profit is divided in the ratio 2 : 3. What is B's contribution -=capital?


(a) Rs. 7500


(b) Rs. 8000


(c) Rs. 8500


(d) Rs. 9000


Let B's capital be 'x'


B has been a partner for 12-5 =7 months


3500*12/(7X)=2/3
x=9000

[keerthi]

9. Two friends P and Q started a business investing in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q's. At the end of the year 20% profit was earned which was equal to Rs. 98,000. What was the amount invested by R ?


(a) Rs. 1,05,000


(b) Rs. 1,75,000


(c) Rs. 2,10,000


(d) Data inadequate


(e) None of these


The profit IS 20% of total inverstment


Let total investment be ='x'
20% of x =98000
x= 4,90,000


The ratio of investments of P and Q =5:6
Let P's share = 5y for 12 months(given)
Let Q's share = 6y for 12 months(given)


Then R's share = 6y for 6months(given)


Now (12*5y)+(12*6y)+(6*6y)=4,90,000
on solving y =35000


Now R's share = 6y=2,10,000

[keerthi]

10. Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of there investments


(a) 5 : 7 : 8


(b) 28 : 49 : 64


(c) 38 : 28 : 21


(d) None of these


Let the partnes be A,B,C
their investments be x,y,z respectively


A's Share =x*14


B's Share =y*8


C's share =z*7


now 14x:8y:7z = 58


on solving we get xz =2064

[yashoda]

1. Manick received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Raunaq earned at the end of one year. If Manick invested Rs: 20,000 for 6 months,whereas Raunaq invested his amount for the whole year, what was the amount invested by Raunaq ?

(a) Rs. 4000

(b) Rs. 5000

(c) Rs. 6000

(d) Rs. 9000







manick got a profit 6000 from the total of 9000.


therefore we can say tht the remaining 3000 profit is of Raunaq


as 20,000 were invested for 6months by manick and


raunaq spent his investment for the whole yr ---ie 12months


we can write the directly as


as we know that investment and time is directly proportional to profit


-------------------in brief


20,000*6:12*Runag's investment=6000:3000


from this we get tht Raunaq's investment is 5000

[yashoda]

2.. A, B and C enter into a partnership with a capital in which Ns contribut~ 8.
Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, :=Ja
C's capital is :

(a) Rs. 4000
(b) Rs. 5000
(c) Rs. 6000
(d) Rs. 9000
solution: none of the above options r correct
from the above we can clear that its not an individual contributions given here,its an overall contributions byA,B and C.
then here comes answer like this
the ratio of the profits is 5:3:2
butgiven all contibuted for an equal amt of time,
therefore the profit ratios are equal to the investment ratios
c' capital investment---[2/(5+3+2)]*10,000
ie 2/10 th of the overall investment is a capital investment of c
ans 2000

[yashoda]

3 . A, Band C started a shop by investing Rs. 27,000, Rs. 72,000 and Rs. 81,000:
respectively. At the end of the year, the profits were distributed among them. If C’s
share of profit be Rs. 36,000, then the total profit was:
(a) Rs. 80,000
(b) Rs. 95,600
(c) Rs. 1,08,000
(d) Rs. 1,16,000
Ratio of investments is A:B:C =3:8:9
given c's share is 36000=9*4000
now the constant is 4000,which should be multiplied to the sum of the ratios of investments to get the total profit.
total profit =(3+8+9)*4000=80 ,000
---------
yashoda