IIM-K (BMSAT) 2025 (QA) PYQs

One country's GDP is currently $600 billion and is growing at 10% per annum. Another country's GDP is $700 billion, while it is growing at 5% per annum. How many years will it take for the GDP of the 1st country to overtake the 2nd?

An exporter estimates with certainty that a $26\%$ higher price for his product will decrease the volume of sales in a foreign market by $30\%$. After having to increase the price by $26\%$, the revenue obtained from sales in that market turned out to be $\text{INR } 44.1 \text{ Cr}$. What would the revenue have been if the exporter had been allowed to sell at the old price?

A factory kept increasing its output by the same percentage every year. Find the percentage if it is known that the output has doubled in the last two years. (assume $\sqrt{2} = 1.4142$)