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Question

Hi, can help with this qn? Tq!

______

Carmen spent  $60 of her allowance each month and saved the rest. When she increased her spending by 20%, her savings decreased by 25%. How much was her allowance? 

Answer

60 x 20% = 12 (increase in spending/decrease in savings)
25% ——- 12
100% of savings——- 48
48 + 60 = 108

Ans : $108.

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Original spending per month = 60

Increased spending = 120/100 x 60 = 72

Since she spent $12 more each month, she has $12 less to save every month 

Original savings = 12 x 100/25 = 48

allowance = 48 + 60 = 108

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Before
$60 spent + saved the rest (100%)

100% -> $60
1% -> $(60/100)
120% -> $(60/100) x 120 = $72 (increased by 20%)

After
$72 spent + 75% of the amount saved

Therefore, 
$60 + saved the rest (100%) = $72 + 75% of the amount saved
25% of the amount saved = $72 – $60
1% of the amount saved = $(12/25)
100% of the amount saved = $(12/25) x 100 = $48

Her allowance = $60 spent + $48 saved = $108

Hope this answers your question. 

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1 Reply 1 Like

Thank you !

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1 Reply 1 Like

Thank you!

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