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)

Question

A bought a phone from a store and paid \(\frac{1}{6}\) of the price using UPI, \(\frac{1}{3}\) of the price in cash, and the remaining balance a year later. He also paid 10% interest on the remaining balance after one year. What was the original price of the phone?

Answer 1

The correct answer is option (D):

Rs. 15,890.24

Let's break down this problem step-by-step to find A's income, working backward from E's known income.

1. **D's Income:** D's income is 15% less than E's income. This means D's income is 85% of E's income.
* D's Income = 0.85 * E's Income
* D's Income = 0.85 * 25,400 = Rs. 21,590

2. **C's Income:** C's income is 15% more than D's income. This means C's income is 115% of D's income.
* C's Income = 1.15 * D's Income
* C's Income = 1.15 * 21,590 = Rs. 24,828.50

3. **B's Income:** B's income is 20% less than C's income. This means B's income is 80% of C's income.
* B's Income = 0.80 * C's Income
* B's Income = 0.80 * 24,828.50 = Rs. 19,862.80

4. **A's Income:** A's income is 20% less than B's income. This means A's income is 80% of B's income.
* A's Income = 0.80 * B's Income
* A's Income = 0.80 * 19,862.80 = Rs. 15,890.24

Therefore, A's income is Rs. 15,890.24. This calculation accurately reflects the percentages given in the problem, working from the known value of E's income through each person's income relative to the previous one.

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)

The Correct Option is D

Solution and Explanation

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