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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 \times original price + reduced price)

The share of

A = Rs . (3 x + 5)

The share of

B = Rs . (4 x + 10)

The share of

C = Rs . (5 x + 15)

As per given question

3 x + 5 + 4 x + 10 + 5 x + 15 = 2430

12 x + 30 = 2430

12 x = 2430 - 30 = 2400

x = \frac{2400}{12} = 200

x = 200

Now, we put the value of x in the share of

B = Rs . (4 x + 10)

then,

B = (4 x + 10)

\Rightarrow 4 \times 200 + 10

= Rs 810

Correct option is 4.

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