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During a sale, all prices were reduced by 15%. A jacket that was bought for $55. Calculate the original price of the jacket. An extract from MS Neto's bank statement for the month of May is shown below. Calculate the value of X. Calculate the value of Y.

Mathematics

ScanSolve AI Answer

Step-by-step solution

5 steps

a) To calculate the original price of the jacket:
The price was reduced by 15%, meaning the selling price of 55represents55 represents 100% - 15% = 85%$ of the original price.

  1. Let the original price be PP.

    Set up the equation.

    0.85×P=550.85 \times P = 55
  2. Solve for PP.

    P=550.85P = \frac{55}{0.85} P=64.7058...P = 64.7058...
  3. Round the answer to two decimal places for currency.

    P≈64.71P \approx 64.71

    The original price of the jacket was \boxed{\mathbf{\64.71}}$.

    b) i) To calculate the value of XX:
    XX represents the bank charges of 1% on the current account balance before the charge. The balance before the charge was $412.00 (after the salary was credited).

  4. Calculate 1% of the balance.

    X=1%×$412.00X = 1\% \times \$412.00

    X=0.01×412.00X = 0.01 \times 412.00 X=4.12X = 4.12

    The value of XX is \boxed{\mathbf{\4.12}}$.

    b) ii) To calculate the value of YY:
    YY is the account balance after the bank charges (XX) have been debited from the previous balance of $412.00.

  5. Subtract the bank charges (XX) from the balance before charges.

    Y=$412.00−XY = \$412.00 - X Y=$412.00−$4.12Y = \$412.00 - \$4.12 Y=$407.88Y = \$407.88 The value of YY is \boxed{\mathbf{\407.88}}$.

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