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.
What is the total revenue in January?
Show Hint
- Rs. 11,800
- Rs. 12,000
- Rs. 12,200
- Rs. 12,400
The Correct Option is A
Solution and Explanation
Formula: Revenue = Units × Price.
Step 2: X.
100 units × Rs. 50 = 100 × 50 = 5,000.
Step 3: Y.
80 units × Rs. 60 = 80 × 60 = 4,800.
Step 4: Z.
50 units × Rs. 40 = 50 × 40 = 2,000.
Step 5: Total.
5,000 + 4,800 + 2,000 = 11,800.
Step 6: Verify.
First sum: 5,000 + 4,800 = 9,800.
Then add 2,000 ⇒ 9,800 + 2,000 = 11,800.
Step 7: Check options.
Options: (1) 11,800, (2) 12,000, (3) 12,200, (4) 12,400.
Matches Option (1).
Step 8: Conclusion.
Total revenue = Rs. 11,800 — correct answer is Option (1).
What is the total revenue in February?
Show Hint
- Rs. 13,750
- Rs. 14,050
- Rs. 14,200
- Rs. 14,650
The Correct Option is C
Solution and Explanation
- 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)
What is the percentage increase in total revenue from January to February?
Show Hint
- 20.34 %
- 21.19 %
- 22.03 %
- 23.88 %
The Correct Option is B
Solution and Explanation
- 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).
Which item had the highest revenue in February?
Show Hint
- X
- Y
- Z
- X and Y
The Correct Option is D
Solution and Explanation
- Step 1: Use February revenues. From Q26: X = 6,000, Y = 6,000, Z = 2,200.
- Step 2: Compare. X = 6,000, Y = 6,000, Z = 2,200. X and Y are equal and highest.
- Step 3: Verify. Units: X = 120, Y = 100, Z = 55. Prices: X = 50, Y = 60, Z = 40. Revenues correct.
- Step 4: Check options. Options: (1) X, (2) Y, (3) Z, (4) X and Y. Matches option (4).
- Step 5: Conclusion. Option (4) is correct.
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