Aptitude - Simplification - Discussion
Discussion Forum : Simplification - General Questions (Q.No. 6)
6.
A sum of Rs. 1360 has been divided among A, B and C such that A gets 
of what B gets and B gets 
of what C gets. B's share is:
of what B gets and B gets of what C gets. B's share is:
Answer: Option
Explanation:
Let C's share = Rs. x
| Then, B's share = Rs. | x | , A's share = Rs. |  |
2 | x | x |  |
= Rs. | x |
| 4 | 3 | 4 | 6 |
 |
x | + | x | + x = 1360 |
| 6 | 4 |
 |
17x | = 1360 |
| 12 |
| x = |
1360 x 12 | = Rs. 960 |
| 17 |
| Hence, B's share = Rs. | |
960 | |
= Rs. 240. |
| 4 |
Discussion:
34 comments Page 2 of 4.
Shivam said:
1 decade ago
let C be x.
//B gets 1/4 of what C gets means(of means multiply).
//What is C, C=x,
B=1/4 * C i.e.(1/4 * x) =>x/4.
// A gets 2/3 of what B gets means.
// What is B, B=x/4.
A=2/3*B i.e.(2/3 * x/4) => x/6.
Adding all means A + B + C.
x/6 + x/4 + x.
Taking an LCM of 6,4 i.e. 12.
This means 2x+3x+12x/12 => 17x/12.
=>17x/12=1360 => x= 1360*12/17 i.e.=> x= 960.
Put In B Share(means x/4) i.e. =>960/4=240.
Got it.
//B gets 1/4 of what C gets means(of means multiply).
//What is C, C=x,
B=1/4 * C i.e.(1/4 * x) =>x/4.
// A gets 2/3 of what B gets means.
// What is B, B=x/4.
A=2/3*B i.e.(2/3 * x/4) => x/6.
Adding all means A + B + C.
x/6 + x/4 + x.
Taking an LCM of 6,4 i.e. 12.
This means 2x+3x+12x/12 => 17x/12.
=>17x/12=1360 => x= 1360*12/17 i.e.=> x= 960.
Put In B Share(means x/4) i.e. =>960/4=240.
Got it.
Vishal said:
1 decade ago
Lets we do this problem in ratio method.
Given B gets 1/4 what of what c gets & A gets 2/3 of what B gets,
Lets c gets x, then B = x/4, then a gets 2/3(x/4) = x/6.
Hence A: B: C = x/6 : x/4 : x.
Hence A: B: C: = 2:3:12.
There fore the share of B is 3/17(1360) = 240.
Given B gets 1/4 what of what c gets & A gets 2/3 of what B gets,
Lets c gets x, then B = x/4, then a gets 2/3(x/4) = x/6.
Hence A: B: C = x/6 : x/4 : x.
Hence A: B: C: = 2:3:12.
There fore the share of B is 3/17(1360) = 240.
(1)
Shreemoyee said:
1 decade ago
How can it come?
Renu said:
1 decade ago
Guys am very confused for this question please provide a simple way to solve this question.
Monika said:
1 decade ago
I can not understanding how can take 2 4 6 tell me.
Supriya said:
1 decade ago
I didn't get what is mean by share?
Siva said:
1 decade ago
Why a & b will be multiplied as taken value of first x?
Meghana said:
1 decade ago
Sub B gets 6. So A gets 4 and C gets 24 now 1360*6/34 = 240 it's so easy.
Reena said:
10 years ago
Can't we solve in this way?
a = 2/3b.
b = 1/4c.
a+b+c = 1360.
2/3b+b+4b = 1360.
17b = 1360*3.
b = 240.
a = 2/3b.
b = 1/4c.
a+b+c = 1360.
2/3b+b+4b = 1360.
17b = 1360*3.
b = 240.
Mustak said:
9 years ago
a + b + c = 1360
a : b = 2 : 3
b : c = 1 * 3 : 4 * 3 = 3 : 12.
So, 2 + 3 + 12 = 17.
then, 1360/17 = 80.
80 * 3 = 240.
a : b = 2 : 3
b : c = 1 * 3 : 4 * 3 = 3 : 12.
So, 2 + 3 + 12 = 17.
then, 1360/17 = 80.
80 * 3 = 240.
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