The income of A is 45% more than the incomeof B and the incomeof C is 60% less than the sum of the incomes of A and B. The
income of D is 20%more than that of C. If the difference between the incomes of B and D is Rs13200, then the income (in Rs) of C
is:
This questions was previously asked in
SSC CGL 13th August 2021 Shift-1
Explanation:
- Let's denote B's income as Rs. 100x.
- A's income is 45% more than B's. So, A's income = Rs. 145x.
- The sum of A's and B's incomes = Rs. 145x + 100x = Rs. 245x.
- C's income is 60% less than the sum of A's and B's incomes: C = 40% of 245x = Rs. 98x.
- D's income is 20% more than C's: D = Rs. 1.2 * 98x = Rs. 117.6x.
- The difference between B's and D's income is Rs. 13200: Rs. (117.6x - 100x) = Rs. 17.6x = Rs. 13200.
- Solving for x: 17.6x = 13200; x = 750.
- C’s income = Rs. 98x = Rs. 73500.
- Option 3: 73500 is the correct answer.
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