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Algebra and Ratio Question

Forums › Ask CIMA Tutor Forums › Ask CIMA P2 Tutor Forums › Algebra and Ratio Question

  • This topic has 3 replies, 2 voices, and was last updated 7 years ago by Cath.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • January 22, 2018 at 8:48 am #431985
    felipemantovani
    Participant
    • Topics: 6
    • Replies: 6
    • ☆

    Hi,

    The question below is number 64 in the P2 CIMA Official Exam Practice Kit by Kaplan Publishing. I am having trouble reconciling this answer.

    Q: “A company evaluates its performance using a number of key ratios. This includes the current ratio which is targeted not to fall below a value of 1.7. Forecasts for the elements of working capital are inventory $14,800, receivables $19,600 and payables $144,000.

    What is the minimum budgeted bank balance permitted if the company is to achieve its target?”

    The suggested answer is as follows: “Current assets must be 144,000 x 1.7 244,800. Bank must be 244,800 – 14,800 – 19,600 = 210,400.”

    I got a different answer through algebra. Let “X” be bank.

    Current Assets: 14,800 + 19,600 > 1.7
    Current Liab: 144,000 + X

    .: 34,400 = 1.7 (144,000 + X) .: (34,400/1.7) = 144,000 + X
    .: 20,235 = 144,000 + X .: X = (123,765)

    or 34,400 = 244,800 + 1.7X .: (210,400 / 1.7) = X .: X = (123,765)

    I think in their usually oversimplified way of explaining the answer they forgot to divide the final number by 1.7.

    Could you please let me know which is the correct, thank you.

    January 22, 2018 at 4:02 pm #432117
    Cath
    Participant
    • Topics: 0
    • Replies: 447
    • ☆☆☆

    Hi
    I got the answer $210,400 also.

    As you know, the current ratio is current assets/ current liabilities

    if Current ratio = 1.7 and current liabilities are given as $144,000

    1.7 = current assets/ 144,000
    rearranged
    1.7 * 144,000 =244800 (this tells us for current ratio to be 1.7 the current assets total value must equal 244800)

    If we know the value of inventory and receivables then,,,, $244800 -14800 -19600= 210400
    This balancing figure must be the bank balance…

    Final check:
    1.7 = (14800+19600+210400) /144000
    This comes back as planned.

    *** I think in your workings you’ve classed Bank to be a liability -im not sure why?***

    January 22, 2018 at 6:48 pm #432150
    felipemantovani
    Participant
    • Topics: 6
    • Replies: 6
    • ☆

    Oh, I must have confused Bank Balance with an Overdraft (short-term liability).

    Thank you.

    January 26, 2018 at 11:18 pm #433296
    Cath
    Participant
    • Topics: 0
    • Replies: 447
    • ☆☆☆

    You’re welcome!

  • Author
    Posts
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