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      Question

      A sum of Rs. 55,200 was divided between 'A' and 'B'

      such that the amount received by 'B' was 30% more than that by 'A'. If 'A' and 'B' spent 10% and 25% of the respective amounts received by them, then find the sum of amounts spent by 'A' and 'B' together.
      A Rs. 9,600 Correct Answer Incorrect Answer
      B Rs. 10,100 Correct Answer Incorrect Answer
      C Rs. 10,000 Correct Answer Incorrect Answer
      D Rs. 10,200 Correct Answer Incorrect Answer
      E Rs. 10,300 Correct Answer Incorrect Answer

      Solution

      Let the amount received by тАШAтАЩ = Rs. тАШ10xтАЩ Then amount received by тАШBтАЩ = 10x ├Ч 1.3 = Rs. тАШ13xтАЩ we have, 10x + 13x = 55200 So, x = 55200 ├╖ 23 = 2400 So, amount received by тАШAтАЩ = 10 ├Ч 2400 = Rs. 24,000
      Amount received by тАШBтАЩ = 13 ├Ч 2400 = Rs. 31,200 Amount spent by тАШAтАЩ = 24000 ├Ч 0.1 = Rs. 2,400
      Amount spent by тАШBтАЩ = 31200 ├Ч 0.25 = Rs. 7,800 So, required sum = 2400 + 7800 = Rs. 10,200

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