Home » Aptitude » Ratio, Proportion » Question
  1. ₹ 600 is divided among A, B and C. ₹ 40 more than (2/5)th of A’ share, ₹ 20 more than (2/7)th of B’s share and ₹ 10 more than (9/17)th of C’s share are all equal. Then A’s share is
    1. ₹ 150
    2. ₹ 170
    3. ₹ 280
    4. ₹ 140
Correct Option: A

According to the question,
A + B + C = 600 .... (i)
and

2A
+ 40 =
2B
+ 20 =
9C
+ 10
5717

∴ 
2A
+ 40 =
2B
+ 20
57

=
2A
+ 20 =
2
B
57

∴  B =
7
2A
+ 20 =
7A
+ 70
255

Again,  
2A
+ 40 =
9C
+ 10
517

⇒ 
9C
=
2A
+ 30
175

⇒  C =
17
2A
+ 30
95

=
34A
+
170
453

∴  A +
7A
+ 70 =
34A
+
170
= 600
5453

⇒  A +
7A
+
34A
= 600 − 70 −
170
5453

⇒ 
45A + 63A + 34A
45

= 530 −
170
3

⇒ 
142A
=
1590 − 170
=
1420
4533

⇒  A =
1420
×
45
3142

= Rs. 150



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