A and B entered into a partnership with capitals in the ratio 4-5- After 3 months- A withdrew 1th -4 of his capital and B withdrew 1-5 th of his capital- The gain at the end of 10 months was Rs- 760 - A-s share in this profit is-

The correct option is C Rs.330 A:B = (4x × 3 + (4x 1/4× 4x) × 7) = (12x+ 21x) : (15x+ 28x) = 33x: 43x = 33 : 43. A's share = Rs. 760 × (33/76)=Rs. 330 ...

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Quantitative Aptitude

Ratio & Proportion

A and B enter...

Question

A and B entered into a partnership with capitals in the ratio 4:5. After 3 months, A withdrew ${\frac{1}{4}}^{t h}$ of his capital and B withdrew ${\frac{1}{5}}^{t h}$ of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:

Rs.330

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Rs.360

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Rs.340

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RS.390

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Rs.370

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Solution

The correct option is A
Rs.330

A:B = $(4 x \times 3 + (4 x - \frac{1}{4} \times 4 x) \times 7)$

$= (12 x + 21 x) : (15 x + 28 x)$

$= 33 x : 43 x = 33 : 43.$

$A^{'} s s h a r e = R s . 760$ $\times$ $(\frac{33}{76})$ $= R s . 330$

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A and B entered into a partnership with capitals in the ratio 4:5. After 3 months, A withdrew 14th of his capital and B withdrew 15th of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:

The correct option is A Rs.330 A:B = (4x×3+(4x−14×4x)×7) =(12x+21x):(15x+28x) =33x:43x=33:43. A′s share=Rs.760 × (3376)=Rs.330

A and B entered into a partnership with capitals in the ratio 4:5. After 3 months, A withdrew ${\frac{1}{4}}^{t h}$ of his capital and B withdrew ${\frac{1}{5}}^{t h}$ of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:

The correct option is A
Rs.330

A:B = $(4 x \times 3 + (4 x - \frac{1}{4} \times 4 x) \times 7)$

$= (12 x + 21 x) : (15 x + 28 x)$

$= 33 x : 43 x = 33 : 43.$

$A^{'} s s h a r e = R s . 760$ $\times$ $(\frac{33}{76})$ $= R s . 330$