Question

A mother and her two daughters got a room constructed for Rs. 62,000. The elder daughter contributes 3/8 of her mother’s contribution while the younger daughter contributes 1/2 of her mother’s share. How much do the three contribute individually?​

Answer 1

Step-by-step explanation:

Let the moher's share be Rs. x

Now, elder daughter's share

=

R

s

.

3

8

x

and younger daughter's share

=

R

s

.

1

2

x

According to the question,

x

+

3

8

x

+

x

2

=

62000

⇒

8

x

+

3

x

+

4

x

8

=

62000

⇒

15

x

=

62000

×

8

⇒

x

=

62000

×

8

15

⇒

x

=

12400

×

8

3

⇒

x

=

99200

3

=

33066.6

So, mother's share = Rs. 33066.6

Elder daughter's share

=

3

8

×

99200

3

=

R

s

.

12400

Younger daughter's share

=

1

2

×

99200

3

=

R

s

.

16533.3

Hence, mother and her two daughters contributed Rs. 33066.6, Rs. 12400 and Rs. 16533.3 respectively.

Answer 2

Answer:

Mother contributed Rs. $33066.667$≈ $33067$ rupees

Elder daughter contributed Rs. $12400$

Younger daughter contributed Rs. $16533$.

Step-by-step explanation:

The total expenditure for room construction $=62000$ rupees.

A mother and her two daughters together paid the amount.

We need to find each one's share, certain clues are given.

Elder daughter and younger daughter contributed $3/8$ and $1/2$ of mother's contribution respectively.

So let us take the contribution of mother $=x$

Therefore the contribution of elder daughter $=\frac{3x}{8}$

and the contribution of younger daughter $=\frac{1}{2} x$

And the total sum would be   $x+\frac{3x}{8} +\frac{x}{2} =62000$ . . . . (1)

From this equation we can find the value of $x$.

(1) ⇒          $\frac{8x}{8}+ \frac{3x}{8}+ \frac{4x}{8} =62000$   (making denominators equal)

                $\frac{15x}{8} =62000$

                 $15x=62000*8=496000\\\\x=496000/15=33066.667$

So the mother contributed Rs. $33066.667$

Hence the elder daughter contributed   $33066.667*\frac{3}{8} =12400$ rupees,

and younger daughter contributed    $33066.667*\frac{1}{2} =16533.3335$ rupees

Hence the answer

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