A and B together have Rs- 1210- If 415 of A-s amount is equal to 25 of B-s amount- how much amount does B have-

The correct option is B Rs. 484 Given, 415A #160; #160; =25B ⇒ A = ( 25×154 ) B ⇒ A = 32 B ⇒ #160; AB = 32 ⇒ A : B = ...

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Byju's Answer

Standard VII

Mathematics

Changing Scale (Including Flags)

A and B toget...

Question

A and B together have Rs. $1210$ . If $\frac{4}{15}$ of A's amount is equal to $\frac{2}{5}$ of B's amount, how much amount does B have?

Rs.

460

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Rs.

484

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Rs.

550

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Rs.

664

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Solution

The correct option is B Rs. $484$
Given,
$\frac{4}{15} A$ $= \frac{2}{5} B$

$\Rightarrow A = (\frac{2}{5} \times \frac{15}{4}) B$

$\Rightarrow A = \frac{3}{2} B$

$\Rightarrow \frac{A}{B} = \frac{3}{2}$

$\Rightarrow A : B = 3 : 2$

$∴$ B's share = Rs. $(1210 \times \frac{2}{5})$ $= R s . 484$

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A and B together have Rs. 1210. If 415 of A's amount is equal to 25 of B's amount, how much amount does B have?

The correct option is B Rs. 484Given,415A =25B⇒A=(25×154)B⇒A=32B⇒AB=32⇒A:B=3:2∴ B's share = Rs. (1210×25) =Rs.484

A and B together have Rs. $1210$ . If $\frac{4}{15}$ of A's amount is equal to $\frac{2}{5}$ of B's amount, how much amount does B have?

The correct option is B Rs. $484$
Given,
$\frac{4}{15} A$ $= \frac{2}{5} B$

$\Rightarrow A = (\frac{2}{5} \times \frac{15}{4}) B$

$\Rightarrow A = \frac{3}{2} B$

$\Rightarrow \frac{A}{B} = \frac{3}{2}$

$\Rightarrow A : B = 3 : 2$

$∴$ B's share = Rs. $(1210 \times \frac{2}{5})$ $= R s . 484$