Ashraf had some money at first. He spent 15% of it on food and 810onanewlaptop.Hethengave20810 on a new laptop. He then gave 20% of the remainder to his brother. In the end, he had 304 left.

  1. (a)

    How much money did Ashraf give to his brother?

  2. (b)

    How much money did Ashraf have at first?

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Worked solution

13(a)

1. Determine the percentage of the remainder that Ashraf had left in the end

Percentage of remainder left = 100%−20%=80%100\% - 20\% = 80\%

2. Calculate the amount given to his brother (which is 20% of the remainder)

80%80\% of remainder →$304\rightarrow \char36{}304
20%20\% of remainder →$3044=$76\rightarrow \frac{\char36{}304}{4} = \char36{}76

Answer

$76

13(b)

1. Find the total remainder before giving money to the brother

The brother received 20% of the remainder, so the 304leftrepresents80304 left represents 80% of the remainder. 80% \text{ of remainder} = $304 100% \text{ of remainder} = \frac{304}{80} \times 100 = $380$

2. Find the amount of money left after spending 15% on food

The remainder is what was left after spending 15% on food and 810onalaptop.Amountafterspendingonfood=810 on a laptop. Amount after spending on food = $380 + $810 = $1190$

3. Find the total amount of money at first

The amount after spending on food represents 100%−15%=85%100\% - 15\% = 85\% of the original amount.
85% of original amount=$119085\% \text{ of original amount} = \char36{}1190
100% of original amount=119085×100=$1400100\% \text{ of original amount} = \frac{1190}{85} \times 100 = \char36{}1400

Answer

$1400

AI analysis — may contain mistakes.

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