# Question

Hi, can help with this qn? Tq!

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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?

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