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:
Rs. 120
Rs. 160
Rs. 240
Rs. 300
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 3 of 4.

Shilpa said:   9 years ago
I didn't get how 17 will come?
(1)

Akhilkondaparva said:   9 years ago
B share = 1360/4 = 240.

Sandilya 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.

Gayathri said:   8 years ago
How 4 comes? Explain it.

MathGenius said:   8 years ago
HOW 17 COMES?

All explanations did explain clearly how 17 come, ok 12 is the LCM of 6 and 4 down, but up there x+x+X so it turns to 17 x.
(1)

Shivani said:   8 years ago
I can't understand how B is multiplied by 1/4.

Please explain me.

Sujay said:   8 years ago
How 17x will come? Please explain.

Shivani said:   7 years ago
A +B + C =1360.............(eq1)
A = 2/3 B.............(eq2)
B =1/4 C...............(eq3).

So, simplify C in terms of B bcz we have to find B's share.
;C =4B.

Now put this values in eq 1.
2/3B +B + 4B =1360,
On taking l.c.m.
2B +3B+ 12B =4080,
17 B = 4080,
B =4080/17,
B =240.
(5)

Baburam said:   7 years ago
Take lcm of 2,3,5,4 = 60,
Now c get 60,
B get 1/4 of b 1/4*60=15.
A get 2/3 of b get 2/3*15=10,
Now the ratio of a b c is 2:3:12,
Then B share is 3/17*1360=240.
(1)

Suryaprabhas said:   5 years ago
How 17 will come? Explain clearly.
(2)


Post your comments here:

Your comments will be displayed after verification.