19. A and B both start a business. Amount invested by B is 1/3 of that invested by A.Three months from the start of the business,A withdrew 1/3rd of his investment and B tripled his investment.If from the total annual profit earned,A receives Rs 1800 as his share from the profit ,what was the total annual profit earned?
Answers
Step-by-step explanation:
The correct option is D Rs. 3800
Let, A Invest Rs. x for 3 months
then B Invest Rs.
x
3
for 3 months
Then, after 3 months,
A invest Rs. (x-x3) = Rs.
2x 3 for 9 months and B invest
(3.x3)=Rs .
x
for 9 months
Share of A =x for 3 months+
2
x
3
for 9 months
=x
t
i
m
e
s
3 +
2
x
3
×
9
=
3
x
+
6
x
=
9
x
Share of B =
x
3
for 3 months +x for 9 months
x
3
×
3
+
x
×
9
A's share in the profit=
A
′
sinvestent(A+B)′sinvestme×ll p
f
i
t
T
o
t
a
l
P
r
o
f
i
t
=
1800
×
19
x
9
x
=
R
s
.
3800
Answer:
The correct option is D Rs. 3800
Let, A Invest Rs. x for 3 months
then B Invest Rs.
x
3
for 3 months
Then, after 3 months,
A invest Rs.
(
x
−
x
3
)
=
R
s
.
2
x
3
for 9 months
and B invest
(
3.
x
3
)
=
R
s
.
x
for 9 months
Share of A =x for 3 months+
2
x
3
for 9 months
=x
t
i
m
e
s
3 +
2
x
3
×
9
=
3
x
+
6
x
=
9
x
Share of B =
x
3
for 3 months +x for 9 months
x
3
×
3
+
x
×
9
A's share in the profit=
A
′
s
i
n
v
e
s
t
m
e
n
t
(
A
+
B
)
′
s
i
n
v
e
s
t
m
e
n
t
×
T
o
t
a
l
p
r
o
f
i
t
T
o
t
a
l
P
r
o
f
i
t
=
1800
×
19
x
9
x
=
R
s
.
3800