A sum was invested on simple interest at a certain rate for 3 years. Had it been invested at 2% higher rate, it would have fetched ₹360 more interest. The value of invested sum is :

₹6000

Case 1: Principal 1 = P1

Rate = R1

Time = 3 years

Simple Interest S1 = P1*R1*3/100

Case 2: Same Principal = P1

Rate = R1+2

Time = 3

S2 = S1+360 = P1*(R1+2)*3/100

(P1*R1*3)/100 + 360 = P1*(R1+2)*3/100

(P1*R1*3)/100 + 360 = P1*(R1+2)*3/100

(P1*R1*3)/100 - (P1*R1*3)/100 - (P1*2*3)/100 +360 = 0

6P1/100 = 360

P1 = 6000

The correct answer is option (3) : ₹6000