Question
Out of total capital required to start a business A invested 30%, B invested $$\frac{2}{5}$$ th and C invested the remaining capital. At the end of one year sum of Rs. 4000 is earned as a profit which is 20% of the capital given by B, then find how much C invested in the business ?
Answer: Option C
Total profit = Rs. 4000
According to the question,
$$\eqalign{
& {\text{20% of B's capital}} = {\text{Rs}}{\text{.}}\,{\text{4000}} \cr
& {\text{1% of B's capital}} = {\text{Rs}}{\text{.}}\,\frac{{{\text{4000}}}}{{20}} \cr
& {\text{B's total capital}} \cr
& = {\text{Rs}}{\text{. }}\frac{{{\text{4000}}}}{{20}} \times 100 \cr
& = {\text{Rs}}{\text{. }}20000 \cr} $$
Let total capital required for business = 100 units.
A
:
B
:
C
Capital
30
:
40
:
30
× 500
:
× 500
:
× 500
15000
:
20000
:
$$\boxed{15000}$$
Hence, Required capital for C = Rs. 15000
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Total profit = Rs. 4000
According to the question,
$$\eqalign{
& {\text{20% of B's capital}} = {\text{Rs}}{\text{.}}\,{\text{4000}} \cr
& {\text{1% of B's capital}} = {\text{Rs}}{\text{.}}\,\frac{{{\text{4000}}}}{{20}} \cr
& {\text{B's total capital}} \cr
& = {\text{Rs}}{\text{. }}\frac{{{\text{4000}}}}{{20}} \times 100 \cr
& = {\text{Rs}}{\text{. }}20000 \cr} $$
Let total capital required for business = 100 units.
A
:
B
:
C
Capital
30
:
40
:
30
× 500
:
× 500
:
× 500
15000
:
20000
:
$$\boxed{15000}$$
Hence, Required capital for C = Rs. 15000
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