ELEGRE 9. Angela won some amount of money in a competition. She spends $120 and gives 60% of the rest of the money to Chloe. Chloe spends $80 and gives half of the remaining amount to Pamela. After spending half of it, Pamela is left with one-tenth of what Angela won. How much did Pamela spend?
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Answer:
22.22%
Step-by-step explanation:
Let x be the total prize money.
Amount given to Son = x/2 - 2000
Amount given to Daughter = 2/3(x/2) + 1000 = x/3 + 1000
Amount given to Son and daughter are equal.
2/3(x/2) + 1000 = x/2 - 2000
x/2 - x/3 = 3000
x/6 = 3000
x = 18000.
Total prize money won = Rs. 18000.
Amount given to son = 18000/2 - 2000 = Rs.7000.
Amount given to daughter = 18000/3 + 1000 = Rs. 7000.
Amount saved = 18000 - (7000 + 7000) = Rs. 4000
% of amount saved = 4000/18000 * 100 = 22.22%
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