The line chart given below shows the pocket money of six boys B1, B2, B3, B4,…
2021
The line chart given below shows the pocket money of six boys B1, B2, B3, B4, B5 and B6 in a month. Which of the following statement(s) is/are correct? I. Pocket money of B2 is 5.25% less than the pocket money of B5. II. Pocket money of B4 is 6.25% less than the pocket money of B5. III. Average pocket money of all the six boys is ₹2262.5.
Answer: B. Only II — Values from the chart: B1 = ₹1850 B2 = ₹2075 B3 = ₹2800 B4 = ₹2250 B5 = ₹2400 B6 = ₹1600 Check each statement: Statement I: Claims B2 is 5.25% less than B5.…
- A.
Only I
- B.
Only II
- C.
Only III
- D.
II and III
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Show answer & explanation
Correct answer: B
Values from the chart:
B1 = ₹1850
B2 = ₹2075
B3 = ₹2800
B4 = ₹2250
B5 = ₹2400
B6 = ₹1600
Check each statement:
Statement I: Claims B2 is 5.25% less than B5. Calculation: (2400 − 2075) / 2400 × 100 = 325 / 2400 × 100 ≈ 13.54%. So statement I is false.
Statement II: Claims B4 is 6.25% less than B5. Calculation: (2400 − 2250) / 2400 × 100 = 150 / 2400 × 100 = 6.25%. So statement II is true.
Statement III: Claims the average is ₹2262.50. Sum = 1850 + 2075 + 2800 + 2250 + 2400 + 1600 = 12,975. Average = 12,975 / 6 = ₹2,162.50. So statement III is false.
Final answer:
Only statement II is correct.