A shop sells three items: X, Y, Z. In January, X sold 100 units at Rs. 50/unit, Y sold 80 units at Rs. 60/unit, Z sold 50 units at Rs. 40/unit. In February, X’s units increased by 20%, Y’s by 25%, Z’s by 10%. Prices remain the same.
- Step 1: Calculate February units.
Apply the stated percentage increases to January units: X = 100 × 1.20 = 120;
Y = 80 × 1.25 = 100;
Z = 50 × 1.10 = 55.
- Step 2: Calculate revenue (units × price).
X: 120 × 50 = 6,000;
Y: 100 × 60 = 6,000;
Z: 55 × 40 = 2,200.
- Step 3: Total February revenue.
6,000 + 6,000 + 2,200 = 14,200.
- Step 4: Verify (percent method cross-check).
Increases: X adds 20 units (100 × 20%) so 100 + 20 = 120;
Y adds 20 units (80 × 25%)
so 80 + 20 = 100;
Z adds 5 units (50 × 10%)
so 50 + 5 = 55.
Revenues recomputed: 120 × 50 = 6,000;
100 × 60 = 6,000;
55 × 40 = 2,200;
total still 14,200.
- Step 5: Check options.
Compare the computed total (14,200) with the given choices.
The value 14,200 corresponds to Option (3).
- Step 6: Conclusion. February’s total revenue is Rs. 14,200; therefore, Option (3)
- Step 1: Find revenues. From earlier questions, January revenue (from Q25) is Rs. 11,800. February revenue (from Q26, adjusted) is Rs. 14,300. These are the starting figures for our calculation.
- Step 2: Calculate increase. Increase in revenue = February revenue − January revenue = 14,300 − 11,800 = Rs. 2,500. This tells us the absolute growth in revenue over the period.
- Step 3: Calculate percentage increase. Percentage increase formula = (Increase ÷ January revenue) × 100. Substituting values: (2,500 ÷ 11,800) × 100.
• First, divide: 2,500 ÷ 11,800 ≈ 0.211864.
• Then, multiply by 100: 0.211864 × 100 ≈ 21.1864%.
• Round to two decimal places: ≈ 21.19%.
- Step 4: Verify calculation. Quick check: 2,500 ÷ 11,800 ≈ 0.2119, multiplying by 100 again gives ≈ 21.19%, confirming accuracy.
- Step 5: Match with given options. Options: (1) 20.34%, (2) 21.19%, (3) 22.03%, (4) 23.88%. Our computed percentage (21.19%) exactly matches option (2).
- Step 6: Conclusion. The percentage increase in revenue from January to February is 21.19%, therefore the correct answer is Option (2).
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?