2323\frac{2}{3} of its investment and after 4 months from the beginning B withdraw 3313" role="presentation">3313331333\frac{1}{3} % of its investment. If a total earned profit is Rs. 10201 at the end of 9 months, find the share of each in profit ?" /> 2323\frac{2}{3} of its investment and after 4 months from the beginning B withdraw 3313" role="presentation">3313331333\frac{1}{3} % of its investment. If a total earned profit is Rs. 10201 at the end of 9 months, find the share of each in profit ?" /> 2323\frac{2}{3} of its investment and after 4 months from the beginning B withdraw 3313" role="presentation">3313331333\frac{1}{3} % of its investment. If a total earned profit is Rs. 10201 at the end of 9 months, find the share of each in profit ?" />

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A and B started a business in partnership by investing in the ratio of 7 : 9. After 3 months A withdraw $\frac{2}{3}$ $\frac{2}{3}$ of its investment and after 4 months from the beginning B withdraw $33 \frac{1}{3}$ $33\frac{1}{3}$ % of its investment. If a total earned profit is Rs. 10201 at the end of 9 months, find the share of each in profit ?

1Rs. 3535, Rs. 6666
2Rs. 3055, Rs. 5555
3Rs. 4503, Rs. 1345
4Rs. 3545, Rs. 3333

Answer:- 1

Explanation:-

Solution:

Note : In such type of question we can assume ratio as per our need to avoid fraction

Capital →	A 7 × ₃	:	B 9 × ₃
New Ratio, →	A 21x	:	B 27x

Total capital invested by A in 9 months

\begin{aligned} = 21 x \times 3 + 7 x \times 6 \\ = 105 x \end{aligned}

$\eqalign{ & = 21x \times 3 + 7x \times 6 \cr & = 105x \cr}$
Total capital of B invested in 9 months

\begin{aligned} = 27 x \times 4 + 18 x \times 5 \\ = 198 x \end{aligned}

$\eqalign{ & = 27x \times 4 + 18x \times 5 \cr & = 198x \cr}$

\begin{aligned} According to the question, \\ (105 x + 198 x) = Rs . 10201 \\ 303 x = Rs . 10201 \\ x = \frac{10201}{303} \\ Hence, \\ Share of A = 105 \times \frac{10201}{303} \\ = Rs . 3535 \\ Share of B = 198 \times \frac{10201}{303} \\ = Rs . 6666 \end{aligned}

$\eqalign{ & {\text{According to the question,}} \cr & \left( {105x + 198x} \right) = {\text{Rs}}{\text{. 10201}} \cr & 303x = {\text{Rs}}{\text{. 10201}} \cr & x = \frac{{10201}}{{303}} \cr & {\text{Hence,}} \cr & {\text{Share of A}} = 105 \times \frac{{10201}}{{303}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,3535 \cr & {\text{Share of B}} = 198 \times \frac{{10201}}{{303}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,{\text{6666}} \cr}$

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of its investment and after 4 months from the beginning B withdraw

33 \frac{1}{3}

$33\frac{1}{3}$ % of its investment. If a total earned profit is Rs. 10201 at the end of 9 months, find the share of each in profit ?", "text": "A and B started a business in partnership by investing in the ratio of 7 : 9. After 3 months A withdraw

\frac{2}{3}

$\frac{2}{3}$ of its investment and after 4 months from the beginning B withdraw

33 \frac{1}{3}

$33\frac{1}{3}$ % of its investment. If a total earned profit is Rs. 10201 at the end of 9 months, find the share of each in profit ?", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

Note : In such type of question we can assume ratio as per our need to avoid fraction

Capital →	A 7 × ₃	:	B 9 × ₃
New Ratio, →	A 21x	:	B 27x

Total capital invested by A in 9 months

\begin{aligned} = 21 x \times 3 + 7 x \times 6 \\ = 105 x \end{aligned}

$\eqalign{ & = 21x \times 3 + 7x \times 6 \cr & = 105x \cr}$
Total capital of B invested in 9 months

\begin{aligned} = 27 x \times 4 + 18 x \times 5 \\ = 198 x \end{aligned}

$\eqalign{ & = 27x \times 4 + 18x \times 5 \cr & = 198x \cr}$

\begin{aligned} According to the question, \\ (105 x + 198 x) = Rs . 10201 \\ 303 x = Rs . 10201 \\ x = \frac{10201}{303} \\ Hence, \\ Share of A = 105 \times \frac{10201}{303} \\ = Rs . 3535 \\ Share of B = 198 \times \frac{10201}{303} \\ = Rs . 6666 \end{aligned}

$\eqalign{ & {\text{According to the question,}} \cr & \left( {105x + 198x} \right) = {\text{Rs}}{\text{. 10201}} \cr & 303x = {\text{Rs}}{\text{. 10201}} \cr & x = \frac{{10201}}{{303}} \cr & {\text{Hence,}} \cr & {\text{Share of A}} = 105 \times \frac{{10201}}{{303}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,3535 \cr & {\text{Share of B}} = 198 \times \frac{{10201}}{{303}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,{\text{6666}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Note : In such type of question we can assume ratio as per our need to avoid fraction

Capital →	A 7 × ₃	:	B 9 × ₃
New Ratio, →	A 21x	:	B 27x

Total capital invested by A in 9 months

\begin{aligned} = 21 x \times 3 + 7 x \times 6 \\ = 105 x \end{aligned}

$\eqalign{ & = 21x \times 3 + 7x \times 6 \cr & = 105x \cr}$
Total capital of B invested in 9 months

\begin{aligned} = 27 x \times 4 + 18 x \times 5 \\ = 198 x \end{aligned}

$\eqalign{ & = 27x \times 4 + 18x \times 5 \cr & = 198x \cr}$

\begin{aligned} According to the question, \\ (105 x + 198 x) = Rs . 10201 \\ 303 x = Rs . 10201 \\ x = \frac{10201}{303} \\ Hence, \\ Share of A = 105 \times \frac{10201}{303} \\ = Rs . 3535 \\ Share of B = 198 \times \frac{10201}{303} \\ = Rs . 6666 \end{aligned}

$\eqalign{ & {\text{According to the question,}} \cr & \left( {105x + 198x} \right) = {\text{Rs}}{\text{. 10201}} \cr & 303x = {\text{Rs}}{\text{. 10201}} \cr & x = \frac{{10201}}{{303}} \cr & {\text{Hence,}} \cr & {\text{Share of A}} = 105 \times \frac{{10201}}{{303}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,3535 \cr & {\text{Share of B}} = 198 \times \frac{{10201}}{{303}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,{\text{6666}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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