Correct Answer: Rs. 360

Solution : Let the sum be divided into two parts P ₁ and P ₂ .
Also, let the interest of the two parts be I ₁ and I ₂ .
For the first part (P ₁ ​):
⇒ I _{1 ​} = P _1​ × 0.10 × 1 (1 year)
For the second part (P _2​ ):
⇒ I ₂ ​= P _2​ × 0.15 × 1 (1 year)
Now, P _1​ × 0.10 × 1 = P ₂ ​ × 0.15 × 1
Also, P ₁ ​ + P ₂ ​ = 6000
⇒ P ₂ ​ = 6000 − P _1​
So, P ₁ ​ × 0.10 × 1 = (6000−P ₁ ​) × 0.15 × 1
⇒ 0.10P _1​ = 0.15(6000−P _1​ )
⇒ 0.10P _{1 ​} = 0.15(6000−P ₁ ​)
⇒ P ₁ = $\frac{900}{0.25}$
⇒ P ₁ ​= Rs. 3600
⇒ P ₂ ​ = 6000 − P ₁ ​ ​= 6000 − 3600 ​= Rs. 2400
⇒ I ₂ ​ = P _2​ × 0.15 × 1
⇒ I _2​ = Rs. 360
Hence, the correct answer is Rs. 360.