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Narender Singh

· started a discussion

· 1 Months ago

sol (Question: 271988.0 )

any alternate sol

Question:

Divide Rs.900 among A, B and C so that Rs.40 more than  25    th of A’s share, Rs.20 more than  27   th of B’s share and Rs.10 more than  917   th of C’s share may all be equal. What is A’s share?

Options:
A)

Rs.245.05

B)

Rs.247.05

C)

Rs.254.05

D)

Rs.264.05

Solution:

Ans: (a)

  

Pradeep Kumar Agnihotri

· commented

· 1 Months ago

Bhang piyo

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

alternate solution-

2/5A +40 = 2/7B +20
2/7B = 2/5A + 20
B = 7/2 ( 2/5A + 20) = 7/5A + 70
2/5A +40 = 9/17C +10
9/17C = 2/5A +30
C = 17/9( 2/5A +30) = 34/45A + 170/3
A + 7/5A +70 + 34/45A + 170/3 = 600
( 45A + 63A + 34A) /45 = 530 - 170/3 = 1420/3
142A /45 = 1420/3
A = 1420/3 x 45/142 = Rs 150 ANS.

another way-
Go by option-
ake 150
150*2/5+40=100
For B
(2/7)B+20=100
B=280
For C
289/17C+10=100
C=170
Now 150+170+280=600
It means 150 is correct


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