If 6 (A's Capital) = 8 (B's Capital) = 10 (C's Capital), then the ratio of their capitals is.

Piyush Telang   9 years AGO

6 A = 8 B = 10 C
Taking A and B
=> 6 A = 8 B => A / B = 8 / 6 = 4 / 3
Taking B and C
=> 8 B = 10 C => B / C = 10 / 8 = 5 / 4
Since A / B = 4 / 3 , B / C = 5 / 4
=> A / B = 4 x 5 / 3 x 5 , B / C = 5 x 3 / 4 x 3
=> A / B = 20 / 15 , B / C = 15 / 12
Now Combining A B and C
We get = A : B : C = 20 : 15 : 12

Like? Yes (16) | No (1)  

Altaf Hussain   9 years AGO

LCM of 6, 8 and 10 is 120
on dividing 120 we have
A/B=20/15, B/C=15/12
A:B:C=20:15:12

Like? Yes (10) | No   

saranya   9 years AGO

6A=8B=10C
=> 3A=4B=5C
A:B=4:3
B:C=5:4
A:B:C= 4*5:3*5:3*4
= 20:15:12

Like? Yes (11) | No (3)  

Sushmita Ghanty   9 years AGO

let 6A = 8B = 10C = x.
Then A = x/6, B = x/8 and C = x/10.
Ratio of A: B : C is x/6 : x/8 : x/10
A = 120*x/6=20x, B = 120*x/8=15x, C= 120*x/10 = 12x.
the ratio of their capitals is 20 : 15 : 12.

Like? Yes (5) | No (1)  

Pritam Das   9 years AGO

6*A/(6*8*10)=8*B/(6*8*10)=10*C/(6*8*10)
Simplifying we get,
A/20=B/15=C/12
=>A:B:C=20:15:12

Like? Yes (4) | No (1)  

Yogendra Kumar   9 years AGO

a:b=8:6 or 40:30
b:c=10:8 or30:24
So, a:b:c = 40:30:24 or 20:15:12

Like? Yes (3) | No   

Ayush Singhal   9 years AGO

given
6A=8B=10C=x(suppose)
so A=x/6
B=x/8
C=x/10
ratio is (1/6):(1/8):(1/10)
Lcm is 120
so ratio is 20:15:12
option (6)

Like? Yes (2) | No   

Debabrata Dey   9 years AGO

(6*A)/(6*8*10)=(8*B)/(6*8*10)=(10*C)/(6*8*10)
=>A/80=B/60=C/48
=>A:B:C=20:15:12

Like? Yes (1) | No   

revathi lakkireddy   9 years AGO

let A=1000, then b=6000/8=750,C=6000/10=600,
A:B:C=1000:750:600=20:15:12

Like? Yes (1) | No   

Narendra Gopi   9 years AGO

c's captil=x/10,
B's capital=x/8
A's capital=x/6
ratio of A,B,C=x/6:x/8:x/10
=20:15:12

Like? Yes (1) | No   

Soma Naresh   9 years AGO

6A=8B=100
6A=8B
B= 3A/4
6A=10 C
C=3A/5
Ratio A:B:C= A: (3A/4):(3A/5)
A: B:C= 1:3/4 :3/5
A: B:C=20:15:12

Like? Yes (1) | No   

Kshitij   9 years AGO

6A=8B=10C
So, A:B=4:3 and B:C=5:4
combine these 2 equations and you will get 20:15:12

Like? Yes (1) | No   

santosh kumar patel   9 years AGO

Let 6(A's Capital)=8(B's Capital)=10(C's capital)=K
Then, A's Capital= K/6
B's Capital= K/8
C's Capital= L/10
so, Tatio of Capital of A:B:C = K/6 : K/8 : K/10
= 20 : 15 : 12

Like? Yes (1) | No   

SOMA NARESH   9 years AGO

A=8B=100
6A=8B
B= 3A/4
6A=10 C
C=3A/5
Ratio A:B:C= A: (3A/4):(3A/5)
A: B:C= 1:3/4 :3/5
A: B:C=20:15:12

Like? Yes (1) | No   

Gaurav Verma   9 years AGO

6a=8b=1oc
6a=8b --1
a/b=4/3 --2 (a=4,b=3)

8b=10c => b/c=5/4 (b=5,c=4)

multiplying 5/3in equation 2, we get a=20,b=15, c=12

Like? Yes (1) | No   

kurmapu satya prasad   9 years AGO

let, 6A=8B=10C=k,
so, A=k/6, B=k/8, C=k/10
therefore, A:B:C=k/6:k/8:k/10 = 20:15:12

Like? Yes (1) | No   

sanjeev kumar   9 years AGO

let , 6A=8B=10C=k
A=k/6
B=k/8
C=k/10
A:B:C=(120/6):(120/8):(120/10)=20:15:12

Like? Yes (1) | No   

D.RAVIKIRAN   9 years AGO

Given B's capital =6/8(A's)
Let A's capital= 1000
then B's capital =750
and C's capital =600
ratio is =1000:750:600
=20:15:12

Like? Yes (1) | No   

TINKU MITTAL   9 years AGO

A:B=8:6=4:3 *5
B:C=10:8=5:4 *3
A:B:C=20:15:12

Like? Yes (1) | No   

Vasudha Singh   9 years AGO

Take LCM of all three numbers that is 6,8 and 10 which comes to 120. taking 120 as numerator , divide 120 by three numbers 6,8 and 12 separately. After solving fractions the answer comes to 20:15:12

Like? Yes (1) | No   

pratyush   9 years AGO

A/C to Qun..
6A = 8B = 10C = K (Let) then
A=K/6,B=K/8 AND C=K/10
then take LCM OF 6,8,10 AND THEN MULTIPLY WE GET
20:15:12

Like? Yes (1) | No   

pranay   9 years AGO

Say 6x=8y=10z=k
Therfore x=k/6,y=k/8,z=k/10.
X:y:z=20:15:12

Like? Yes (1) | No   

sai jeevana   9 years AGO

6A=8B=10C=k then A=k/6,B=k/8,C=k/10
A:B:C=k/6:k/8:k/10
=1/6:1/8:1/10
L.C.M of 6,8,10 is 120
=1/6*120:1/8*120:1/10*120
A:B:C=20:15:12
so answer is option (6)

Like? Yes (1) | No   

aman aditya   9 years AGO

LCM=120
so
a=120/6=20
b=120/8=15
c=120/10=12
so
20:15:12

Like? Yes (1) | No   

Urvashi Jain   9 years AGO

6A=8B=10C=K(LET)
A=K/6,B=K/8,C=K/10
K/6:K/8:K/10
20:15:12

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Priya   9 years AGO

let 6a=8b=10c=k;
so, a=k/6, b=k/8 , c=k/10
a:b:c= 20:15:12

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anand vijay   9 years AGO

6A=8B=10C=k
A=k/6, B=k/8, C=k/10
therefore ratio=k/6:k/8:k/10
=120*k/6: 120*k/8 : 120*k/10
=20 : 15 : 12
option 6)

Like? Yes (1) | No   

Kuheli   9 years AGO

A/B=8/6=4/3
B/C=10/8=5/4
A/C=10/6=5/3
now we have different value of A so we have to multiply with a certain number with A, as well as with B ,and C
so A=20,B=15,C=12

Like? Yes (1) | No   

Dinni   9 years AGO

6(A’s capital)=8(B’s capital)=10(C’s capital)= 1/x

Then, A’s capital=x/6 , B’s capital=x/8, C’s capital=x/10

Ratio of capitals of A,B,C = x/6 : x/8 :x/10

= 20:15:12

Like? Yes (1) | No   

vinusha   9 years AGO

6(A’s capital)=8(B’s capital)=10(C’s capital)= 1/x

Then, A’s capital=x/6 , B’s capital=x/8, C’s capital=x/10

Ratio of capitals of A,B,C = x/6 : x/8 :x/10

= 20:15:12

Like? Yes (1) | No   

avanthika   9 years AGO

6(A’s capital)=8(B’s capital)=10(C’s capital)= 1/x

Then, A’s capital=x/6 , B’s capital=x/8, C’s capital=x/10

Ratio of capitals of A,B,C = x/6 : x/8 :x/10

= 20:15:12

Like? Yes (1) | No   

rajat gupta   9 years AGO

a/b=4/3 and b/c=5/4 so to make b=3 multiply and divide by 3 then a:b:c becomes 4:3:12/5 which is 20:15:12

Like? Yes (1) | No   

Anupreet Kaur   9 years AGO

let the ratio be x
x/6 = x/8 = x/10
take the LCM of all the denominators
LCM = 60
A= 20x , B= 15x , C=12x
Thus , A:B:C = 20:15:12

Like? Yes (1) | No   

sai   9 years AGO

6A=8B=10C
L.C.M of 6,8,10=120
then divide all by 120
then A:B:C=20:15:12

Like? Yes (1) | No   

Subham Mahanta   9 years AGO

let , 6 (A's Capital) = 8 (B's Capital) = 10 (C's Capital) = k
so, A's Capital = k/6
B's Capital = k/8
C's Capital = k/10
so, the ratio of their capital is = A : B : C = (k/6) : (k/8) : (k/10)
= 20 : 15 : 12
so, the ans. is option (6)

Like? Yes (1) | No   

momin ashraf ahamed   9 years AGO

doing LCM for their reciprocals we get the solution as 20:15:12

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prashanth   9 years AGO

Given that 6 (A's Capital)=8 (B's Capital) = 10 (C's Capital) = k
i.e, k/6 = k/8 = k/10
so the ratio is 1/6 : 1/8 : 1/10
from this we get 20 : 15 : 12

Like? Yes (1) | No   

UDIT GAUTAM   9 years AGO

for 20:15:12

let suppose a's capital =20
for 6(a)=8(b)
6*20=8*b
b=15
and 6(a)=10(c)
6*20=10*c
c=12

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Aniketh nangunoori   9 years AGO

let 3a=4b=5c=60(lcm)
a=20
b=15
c=12

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Deven Patidar   9 years AGO

6*A= 8*B= 10*C
(6*20)/20 A = (8*15)/15 B = (10*12)/12 C
120A/20=120B/15=120C/12
A/20 = B/15 = C/12 => A/B=20/15, B/C=15/12
So A:B:C= 20:15:12

Like? Yes (1) | No   

roshni.s   9 years AGO

6A=8B=10C
--> A:B = 8:6 = 4:3
--> B:C =10:8= 5:4
A:B:C = 20:15:12

Like? Yes (1) | No   

deenbandhu Kumar    9 years AGO

When we divide d ratio of capital by total.i.e-24
Den ratio of a capital=24/6=4
Ratio of B capiral=24/8=3
Ratio of C capital=24/10=2.4
So d ratio=4:3:2.4 so d matching answer it we multiply it by 5 is=20:15:12.so it is d right answer

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V.NIVETHA   9 years AGO

A/B=20/15,B/C=15/12 so A:B:C=20:15:12 since 120 is the LCM of 6;8;10

Like? Yes (1) | No   

RAVAL   9 years AGO

LCM of 6,8,10 is 120
so, 120/6:120/8:120/10
= 20:15:12

Like? Yes (1) | No   

Kundan Gope   9 years AGO

LCM of 6,8,10 is 120
6/120, 8/120 10/120 =1/20, 1/15, 1/12
so ratio is 20:15:12

Like? Yes (1) | No   

TARUN CHAUHAN   9 years AGO

let A ,b,c capital be x,y,z respectively

given 6x=8y
therefore x/y=8/6

simlarly 8y=10z
therefore y/z=10/8

therefore x:y:z can be calculated by making value of y equal in both x/y and y/z this can be done by taking LCM of two different y values .

x:y:z=20:15:12

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Archie   9 years AGO

A's capital:B's=8:6
B's:C's=10:8
A's:B's:C's=(8*10):(6*10):(6*8)
=80:60:48
=20:15:12
Hence option 6 is correct

Like? Yes (1) | No   

Nitheesh Aithu   9 years AGO

The LCM of 6,8,10 is 120.The ratio is 120/6:120/8:120/10 =20:15:12

Like? Yes (1) | No   

Ashish Pathak   9 years AGO

6a=8b=10c=k
a=k/6 , b=k/8 ,c=k/10
therefore, a:b:c = 20:15:12

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kondapuram tirumalreddy   9 years AGO

6A=8B=10C
A:B=8:6
B:C=10:8
Multiply
[A:B]×10. and [B:C]×6
We get A:B:C = 20:15:12 by solving

Like? Yes (1) | No   

lavanya   9 years AGO

a=k/6
b=k/8
c=k/10
a:b:c= 1/6:1/8:1/10 = 20:15:12

Like? Yes (1) | No   

ARYA KRISHNAN G   9 years AGO

Let 6A:8B:10C=K
A=K/6,B=K/8,C=K/10
so A:B:C=1/6 : 1/8 : 1/10
=20 : 15:12

Like? Yes (1) | No   

shivam dubey   9 years AGO

Given 6*A = 8*B = 10*C

A/B = 8/6 = 4/3
B/C = 10/4 = 5/4

A/B = 4*5/5*3 = 20/15
B/C = 5*3/4*3 = 15/12

A:B:C =20:15:12

ans

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NAGENDRA P   9 years AGO

3A=4B=5C
4/3 : 1 : 4/5
20:15:12
SO..OPTION (6)

Like? Yes (1) | No   

Amber Singh   9 years AGO

A=8B/6 and B=10C/8
so A/B=4/3 and B/C=5/4
so A/B=20/15 and B/C=15/12
so A:B:C=20:15:12

Like? Yes (1) | No   

jomon v j   9 years AGO

a:b=4:3=20:15

b:c=5:4=15:12

combining these we get a:b:c=20:15:12

Like? Yes (1) | No   

rahul shaw   9 years AGO

let 6A=8B=10C
then 6a=8b
a/b= 4/3
similarly b/c=5/4
so a:b:c= 4*5:5*3:4*3
=20:15:13
option 6

Like? Yes (1) | No   

prasenjit Malakar   9 years AGO

LCM of 6, 8, 10 =120 .So 120/6=20,120/8=15,120/10=12. so ratio is 20:15:12

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Anuj Rai   9 years AGO

6(A’s capital)=8(B’s capital)=10(C’s capital)=x

Then, A’s capital=x/6 , B’s capital=x/8, C’s capital=x/10

Ratio of capitals of A,B,C = x/6:x/8:x/10

= 20:15:12

Like? Yes (1) | No (1)  

Devendra Marghade   9 years AGO

6A = 8B =10C
Representing in terms of A,
A= 6A/8 = 6A/10 and for proportion, equating to common denominator, 80A: 60A :48A = 20 : 15 : 12
Option 6)

Like? Yes (1) | No (1)  

Prabakaran   9 years AGO

A:B=8:6=4:3
B:C=10:8=5:4
B:C can be changed as 5:4=5*3/5:4*3/5=3:12/5
A:B:C=4:3:12/5
so
20:15:12 is the ans

Like? Yes (1) | No (1)