Question

A’s income is 20% less than B’s income, B’s income is 20% less than C’s income, C’s income is 15% more than D’s income, D’s income is 15% less than E’s income. If E’s income is Rs. 25,400 then what is the income of A? (Income is calculated per year)

• A. Rs. 11,890.36
• B. Rs. 12,360.30
• C. Rs. 13,450.50
• D. Rs. 15,890.24
• E. Rs. 19,890.24

Answer 1

The Correct Option is D

To find A's income, we need to work back from E's income using the given percentage relationships:

Start with E's income:

• E's income = Rs. 25,400

Calculate D's income, which is 15% less than E's income:

• D's income = E's income × (100% - 15%) = E's income × 85% 
• \(D = 25400 \times 0.85 = 21590\) Rs.

Calculate C's income, which is 15% more than D's income:

• C's income = D's income × (100% + 15%) = D's income × 115%
• \(C = 21590 \times 1.15 = 24828.5\) Rs.

Calculate B's income, which is 20% less than C's income:

• B's income = C's income × (100% - 20%) = C's income × 80%
• \(B = 24828.5 \times 0.80 = 19862.8\) Rs.

Calculate A's income, which is 20% less than B's income:

• A's income = B's income × (100% - 20%) = B's income × 80%
• \(A = 19862.8 \times 0.80 = 15890.24\) Rs.

Thus, the correct answer is Rs. 15,890.24.