A pie chart shows the percentage distribution of a company's expenses: Salaries (40%), Rent (20%), Utilities (15%), Marketing (15%), Miscellaneous (10%). If total expenses are 110,00,000, what is the combined amount spent on Rent and Utilities?
13,00,000
13,50,000
14,00,000
14,50,000
- Step 1: Identify percentages. Rent: 20%, Utilities: 15%. Combined percentage = $20 + 15 = 35%$.
- Step 2: Calculate combined amount. Total expenses = ₹10,00,000. Combined amount = $35% \times 10,00,000 = 0.35 \times 10,00,000 = 3,50,000$.
- Step 3: Verify with options. 13,50,000 matches option (2).
- Step 4: Cross-check. Individual amounts: Rent = $0.2 \times 10,00,000 = 2,00,000$, Utilities = $0.15 \times 10,00,000 = 1,50,000$. Sum: $2,00,000 + 1,50,000 = 3,50,000$.
- Step 5: Final conclusion. Option (2) 13,50,000 is the correct answer.
The plots below depict and compare the average monthly incomes (in Rs. ’000) of males and females in ten cities of India in the years 2005 and 2015. The ten cities, marked A-J in the records, are of different population sizes. For a fair comparison, to adjust for inflation, incomes for both the periods are scaled to 2025 prices. Each red dot represents the average monthly income of females in a particular city in a particular year, while each blue dot represents the average monthly income of males in a particular city in a particular year. The gender gap for a city, for a particular year, is defined as the absolute value of the average monthly income of males, minus the average monthly income of females, in that year.
A bar graph shows the number of students in 5 departments of a college. If the average number of students is 240 and the number of students in the Science department is 320, how many students are there in total in the other four departments?
When $10^{100}$ is divided by 7, the remainder is ?