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?

Suppose the tax rules allow a person to either pay 20% of their total annual income as income tax, or pay 25% after claiming a deduction of Rs 2 lakh from the total annual income. What is the lowest annual income above which the former regime is attractive to the taxpayer?

Shalini got $30\%$ of the maximum marks in an exam. She failed by $50$ marks. Malini scored $40\%$ of the maximum, and this score was $20$ marks more than the pass mark. What is the pass mark?

A firm projects its revenue to rise 20% in each of the next 3 years. At the same time, it projects costs to rise 10% each year. If profit this past year was Rs 10Cr on revenue of Rs 100 Cr, what will be the accumulated profit at the end of the 3rd year?

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 $\sqrt{2} = 1.4142$)

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 country has 3 major economic sectors: agriculture, manufacturing and services - with their share of the country's Gross Domestic Product (GDP) being 40, 20 and 40 percent, respectively. Of these, services is growing at 10% per annum, whilst agriculture is growing at 4%. The GDP in aggregate is estimated to be growing at 6% yearly: what is the annual rate of growth of manufacturing in percent?