Tom is saving $3000. He deposits $200, then a fixed amount every month for 5 months. Then gets a check for 3 times the total amount saved so far. When depositing the check, he now has $400 extra. What was the fixed amount deposited each month?
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Let the amount he saved per month be $ x
So, for 5 months he deposits $5x
before he deposited $200 , so now he has saved $200+5x
now he gives a check for 3 times of total amount saved so far. so check value = 3 * (200+5x) = 600+15x
now he has got $400 eextra = $400 + 3000 = $3400
so 600+15x+200+5x = 3400
=> 800 + 20x = 3400
=> 20x = 3400 - 800
=> 20x = 2600
=> x = 2600/20 = 130
So per month he saved $ 130 (ans )
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