Test Index

Ratio and Proportion

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Question : 30 of 112

Marks: +1, -0

₹ 4850 have been divided among

A, B, C

such that if their shares be diminished by

₹ 15, ₹ 10

\text{Rs. }25

respectively, the remainders are in the ratio

3 : 4: 5 .

Then B's share is:

$\text{Rs. }1595$
$₹ 1610$
$₹ 1626.66$
$₹ 1600$

Solution:

Concept:

Express the reduced shares as multiples of a common variable

k

, then relate to the total sum.

Explanation:

Let the original shares of

A

,

B

, and

C

be

a

,

b

,

c

respectively.

Given

a + b + c = 4850

.

After reducing by ₹15, ₹10, and ₹25, the remainders are in the ratio

3 : 4 : 5

.

So let

a - 15 = 3k

,

b - 10 = 4k

,

c - 25 = 5k

.

Then

a = 3k + 15

,

b = 4k + 10

,

c = 5k + 25

.

Sum:

(3k+15) + (4k+10) + (5k+25) = 12k + 50 = 4850

.

Solving:

12k = 4800 \Rightarrow k = 400

.

Thus

B

's share

b = 4(400) + 10 = 1600 + 10 = 1610

.

Answer:

₹1610

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