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This question belongs to Arithmetic Ability Partnership
Partnership
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Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.

Answer & Solution
Correct Answer: Option C
Suppose C's capital = x then
B's capital = 4x (Since B's Capital is four times C's capital)
A's capital = 6x ( Since twice A's capital is equal to thrice B's capital)
A : B : C =6x : 4x : x
= 6 : 4 : 1
B's share = $$16500 \times \frac{4}{{11}}$$   = 1500 × 4 = 6000.
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8 Comments
Yaseen Malik
Yaseen Malik 6 years ago
A=3B
B=4c
Let C=x
B=4x
A=3B=3*(4x)=12x
now,
12x+4x+x=16500
17x=16500
x=970.588
B=4x= 4*970.588=3882.352
MD Rafij
MD Rafij 8 years ago
2A=3B
A:B=3:2
B=4C
B:C=4:1
A:B:C=6:4:1
B's share is 16500*(4/11)=6000
Bogi Venkatesh
Bogi Venkatesh 8 years ago
I think the word "twice" was wrongly inserted in the second line of question.

The answer provided by exam Veda will be correct only if we eliminate that "twice" word from the second line.
Sengsrang Momin
Sengsrang Momin 8 years ago
Here Twice A capital is equal to 3B capital
As we know B capital=4x
So as per question statement
2A=3B
2A=3(4x)
So A=12x/2
A=6x
Lokesh Venkatesan
Lokesh Venkatesan 9 years ago
Suppose C's capital = x then
B's capital = 4x (Since B's Capital is four times C's capital)
A's capital = 12x ( Since twice A's capital is equal to thrice B's capital)
A:B:C = 12x : 4x : x
= 12 : 4 : 1
B's share = 16500 * (4/17) = 1500*4 = 3882.35

It's correct right?
Lokesh Venkatesan
Lokesh Venkatesan 9 years ago
Hey..! B's capital = 4X
So, A's capital = 4X(3) = 12X ( Since twice A's capital is equal to thrice B's capital)
isn't it? Reply?
Bhanu Pratap
Bhanu Pratap 9 years ago
what is role of number 11, is this month or any other thing??
Its Somrat's
Its Somrat's 9 years ago
B=4x
A=4x*3=12x?????
isnt it??