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Q.

An amount of Rs 2430 is divided among A, B and C such that if their shares be


reduced by Rs 5, Rs 10 and Rs 15 respectively the remainders shall be in the ratio of


3: 4: 5. Then find the B's share.


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a

Rs 605

b

Rs 790

c

Rs 800

d

Rs 810 

answer is D.

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Detailed Solution

Given,
Total amount = Rs. 2430
The shares be reduced of A = Rs. 5
The shares be reduced of B = Rs. 10
The shares be reduced of C = Rs. 15
By this, the ratio of remainder of the A, B and C = 3: 4: 5
Suppose that
The original price = x (say)
Before reduction the price the shares of A, B and C can be written as
remainder × original price+reduced price
The share of A=Rs. 3x+5
The share of B=Rs. 4x+10
The share of C=Rs. 5x+15
As per given question
3x+5+4x+10+5x+15=2430
12x+30=2430
12x=2430-30=2400
x=240012=200
x=200
Now, we put the value of x in the share of B=Rs. 4x+10 then,
B=4x+10
⇒4×200+10
=Rs 810 
Correct option is 4.
 
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