Rs. 1087 is divided among A, B and C such that if Rs. 10, Rs. 12 and Rs. 15 are diminished from the shares of A, B and respectively, the remainders will be in the ratio of 5, 7 and 9. What is the share of B ?

A. Rs. 260

B. Rs. 355

C. Rs. 362

D. Rs. 465

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{Remainder}} \cr & = {\text{Rs}}{\text{.}}\left[ {{\text{1087}} - \left( {10 + 12 + 15} \right)} \right] \cr & = {\text{Rs}}{\text{. }}1050. \cr & \therefore {\text{B's share}} \cr & = {\text{Rs}}{\text{.}}\left[ {\left( {1050 \times \frac{7}{{21}}} \right) + 12} \right] \cr & = {\text{Rs}}{\text{. }}362 \cr} $$