TANCET 2025 Solved Papers

Concept:Time can be found using the simple interest formula$$\mathrm{SI} = \frac{P \times R \times T}{100}$$where $P = 5000$ and $R = 12\%$.Explanation:Statement (1) tells that the interest at the end of 5 years is Rs. 3000.But this is automatically true because $\frac{5000 \times 12 \times 5}{100} = 3000$.It does not tell whether the loan period ended at 5 years or continued longer.So, statement (1) alone is not sufficient.Statement (2) says the total money returned by Manoj is enough to buy a television costing Rs. 8000.Therefore, amount received $A = 8000$.Since principal $P = 5000$, the interest is$$\mathrm{SI} = A - P = 8000 - 5000 = 3000$$Using the formula,$$3000 = \frac{5000 \times 12 \times T}{100}$$$$T = \frac{3000 \times 100}{5000 \times 12} = 5 \text{ years}$$So, statement (2) alone gives the required number of years.Answer:Option B: Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.