a) Rs. 29000, Rs. 18000
b) Rs. 25000, Rs. 3000
c) Rs. 15000, Rs. 10000
d) Rs. 15000, Rs. 20000

Answer: d
Explanation: Let amount invested by A = Rs. x

	A	:	B
Capital →	x	:	(x + 5000)

$$\eqalign{ & {\text{Share of A in profit}} = \frac{{\left( {26000 – 6000} \right)}}{2} \cr & = {\text{Rs}}{\text{. 10000}} \cr & {\text{Share of B in profit}} = \left( {26000 – 10000} \right) \cr & = {\text{Rs}}{\text{. 16000}} \cr & {\text{By using formulas:}} \cr & {\frac{{{{\text{C}}_{\text{1}}} \times {{\text{T}}_1}}}{{{{\text{C}}_{\text{2}}} \times {{\text{T}}_{\text{2}}}}} = \frac{{{{\text{P}}_{\text{1}}}}}{{{{\text{P}}_2}}}} \cr & \frac{{x \times 5}}{{\left( {x + 5000} \right) \times 6}} = \frac{{10000}}{{16000}} \cr & 4x = 3x + 15000 \cr & x = {\text{Rs}}.15000 \cr & {\text{Required capital of A}} = {\text{Rs}}{\text{. 15000}} \cr & {\text{Required capital of B}} = \left( {15000 + 5000} \right) \cr & = {\text{Rs}}{\text{. 20000}} \cr} $$