A and B together have -1210- If 4-15-of A-s amount is equal to 2-5-of B-s amount- how much amount does B have -450-484-560-654

The correct option is B ₹484⇒4/15A = 2/5B ⇒ A = 2/5×15/4 B ⇒ A = 3/2B ⇒A/B = 3/2 ⇒ A : B = 3 : 2 Let A's share be ₹3x and B's share be ₹2x ⇒ 5x = 1210 ⇒ x ...

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Byju's Answer

Standard IX

Mathematics

Ratio and Proportion

A and B toget...

Question

A and B together have ₹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 ?

₹450

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₹484

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₹560

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₹654

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Solution

The correct option is B ₹484
$\Rightarrow \frac{4}{15} A = \frac{2}{5} B$

$\Rightarrow A = \frac{2}{5} \times \frac{15}{4} B$
$\Rightarrow A = \frac{3}{2} B$

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

Let A's share be ₹3x and B's share be ₹2x

$\Rightarrow 5 x = 1210$

$\Rightarrow x = \frac{1210}{5}$

$\Rightarrow x = 242$

$∴ B's share = 2 x = 2 \times 242 = ₹ 484$

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