Correct Option: D
If principal = P and rate = r% per annum, then
Amount = Principle + Simple Interest
| 1380 = P + | P × 3 × r | .................(i) |
| 100 |
| 1500 = P + | P × 5 × r | .................(ii) |
| 100 |
S.I. for two years = 1500 – 1380 = ₹120
| ∴ | Pr | = 60...................(iii) |
| 100 |
∴ From equation (i)
1380 = P + 60 × 3
⇒ P = 1380 – 180 = ₹ 1200
From equation (iii)
| ⇒ r = | 6000 | = 5% per Annum |
| 1200 |
Second method to solve this question : Here , A
2 = ₹ 1500 , T
1 = 3 years , A
1 = ₹ 1380 , T
2 = 5 years
| R = |  | A1 - A2 |  | × 100 |
| A2T1 - A1T2 |
| R = |  | 1380 - 1500 |  | × 100 |
| 1500 × 3 - 1380 × 5 |
| R = | - 120 | × 100 |
| 4500 - 6900 |
R = 5%