Correct option is A
CP = 100/(100+P%)×SP
CP = 100/(100+20)×14400
CP = Rs. 12,000
New CP = 1.15 × 12000 = Rs. 13,800
To gain 15% profit, the new SP must be,
SP = (100+P%)/100 ×CP
SP = (100+15)/100×13800
SP = 1.15 × 13800 = Rs. 15,870