Test Index

Ratio and Proportion

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Question : 43 of 112

Marks: +1, -0

An amount of

\text{Rs. }2430

is divided among

{A}, {B}

and C such that if their shares be reduced by

₹

₹_{10}

and.₹ 15 respectively, the remainder shall be in the ratio of

3: 4: 5 .

Then, B's share was

$₹ 605$
$₹ 790$
₹ 800
$₹ 810$

Solution:

Concept:

The reduced shares after subtracting the given amounts are in the ratio

3:4:5

. We use a common multiplier to find the original shares.

Explanation:

Let the reduced shares of A, B, and C be

3k

,

4k

, and

5k

respectively.

Then original shares are: A =

3k+5

, B =

4k+10

, C =

5k+15

.

Their sum is

₹2430

, so

(3k+5)+(4k+10)+(5k+15)=12k+30=2430

.

Solving:

12k=2400 \implies k=200

.

Thus B's share =

4(200)+10 = 800+10 = 810

.

Answer:

B's share was ₹810.

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