Question

A's share is 1/4th of the B's share;B's share is 3/5th of C's share and C's share is 4/5th of D's share.If D's share is rs.50,find A's share.

Answer 1

Here your question is.....

A's share is 1/4th of the B's share;B's share is 3/5th of C's share and C's share is 4/5th of D's share.If D's share is rs.50,find A's share.....

I have answered it as......

D total share is 5x

then,c share is = 4 by 5 share of D

c share is = 4 by 5 × 5x

c share is = 4x

and, B share is = 3 by 5 × 4x

B share is = 12x by 5

and, A share is = (1 by 4) × (12x by 5)

A share is = 3x by 5

As Given, D = Rs. 50

so, 5x = 50

X = 50 by 5

X = Rupees 10....

•°•, A share is = 3x by 5

A share is = (3x × 10) by 5

A share is = Rs. 6.....

So, Your answer is Rs. 6

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Answer 2

Gɪᴠᴇɴ :-

• A's share = (1/4) * B share.
• B's share = (3/5) * C share.
• C's share = (4/5) * D share.
• D's Total share = Rs.50

ᴛᴏ ꜰɪɴᴅ :-

• Total share of A ?

Sᴏʟᴜᴛɪᴏɴ :-

Let us Assume That, D's Total share is 5x.

Than,

→ C's share = (4/5) * D share.

So,

→ C's share = (4/5) * 5x

→ C's share = 4x.

____________

Now,

→ C's share = 4x.

And, we have ,

→ B's share = (3/5) * C share.

So,

→ B's share = (3/5) * 4x

→ B's share = (12x)/5.

_____________

Now,

→ B's share = (12x)/5.

And, we have ,

→ A's share = (1/4) * B share.

So,

→ A's share = (1/4) * (12x)/5

→ A's share = (3x)/5.

______________

Now, we have Given That, D Total share is Rs.50 .

Hence,

→ 5x = 50

→ x = (50/5)

→ x = Rs.10 .

Therefore,

→ A's share = (3x)/5

→ A's share = (3 * 10) / 5

→ A's share = Rs.6 (Ans).

Hence, A's Total share is Rs.6 .

______________________

Short :-

Since, Given That, D Total share is Rs.50 .

So,

→ C's share = (4/5) * 50 = Rs.40

→ B's share = (3/5) * 40 = Rs.24.

→ A's Share = (1/4) * 24 = Rs.6 (Ans.)

Or,

Direct :-

→ A's Share = D * (4/5) * (3/5) * (1/4)

→ A's share = 50 * (4/5) * (3/5) * (1/4)

→ A's share = Rs.6 (Ans.)

______________________