Directions : Line chart given below shows expense of five persons (in %) out…

2018

Directions : Line chart given below shows expense of five persons (in %) out of total income of two months. Income of persons is same in both months.

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Average saving of ‘C’ in both months is Rs 19,200 while A’s income is 20% more than C’s income. Find expense of ‘A’ in the month of November

  1. A.

    Rs 9600

  2. B.

    Rs 19200

  3. C.

    Rs 38400

  4. D.

    Rs 24000

  5. E.

    Rs 28800

Show answer & explanation

Correct answer: E

Concept:

For a person whose income is the same in both months, Saving% = 100% − Expense%, and the average saving over the two months equals the average of the two saving percentages applied to one month's income. Once a known average-saving amount fixes the income, any other person's income and any single-month expense follow by percentage scaling.

Reading the chart for C:

From the line chart, C's expense is 56% in November and 48% in April.

Step-by-step working:

  1. C's average expense over the two months = (56% + 48%) ÷ 2 = 52%, so C's average saving = 100% − 52% = 48%.

  2. This 48% average saving corresponds to Rs 19,200, and since C's income is the same each month, 48% of C's monthly income = Rs 19,200. Hence C's monthly income = 19,200 ÷ 0.48 = Rs 40,000.

  3. A's income is 20% more than C's, so A's monthly income = 40,000 × 1.20 = Rs 48,000.

  4. The question asks for A's expense in November. From the chart, A's expense in November is 60%, so A's November expense = 0.60 × 48,000 = Rs 28,800.

Cross-check:

A's November saving would then be 40% of 48,000 = Rs 19,200, and 28,800 + 19,200 = Rs 48,000 = A's full income, which confirms the split is internally consistent.

Result: A's expense in November = Rs 28,800.

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