Dan's mountain bike

Algebra Level 1

To travel around Mountain View, Dan bought a mountain bike for $750. He put 20% of the cost as an initial down payment, and paid off the remainder of the cost in 10 equal monthly payments. What is the price (in $) of one monthly payment?

Details and assumptions

The cost of the bike includes tax, interest charges, and any other considerations.


The answer is 60.

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Arron Kau by Arron Kau

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10 solutions

Sharat Sachin
Sep 8, 2013

Dan puts 20% of the cost as an initial down payment, i.e. 20% of $750 = $150. He pays off the remainder of the cost in 10 equal monthly payments i.e. $600 /10 = $60. Thus, the price (in $) of one monthly payment is $60.

3 Helpful 0 Interesting 0 Brilliant 0 Confused

I like that solution.

Carl De Guzman - 7 years, 2 months ago
Nurin Zunah
Sep 9, 2013

The remainder of the cost = 80%. 80% x $750 = $600. 1 month is $600 divide by 10 months = $60.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Moderator note:

I like this interpretation where you calculate the remainder of the cost directly.

its good interpretation

Willvin Valois - 7 years, 9 months ago

Yes she subtracted 20% directly from the original cost.

Kareem Bakhsh - 7 years, 9 months ago

For me, it'll be more complicated to count the 20% and subtract it from the original price. Therefore, I subtract it first.

Nurin Zunah - 7 years, 9 months ago
Noreen Marpuri
Sep 9, 2013

750 X .20 =150 750-150=600 600/10=60

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Se a bicicleta custa 750 e ele pagou 20%, ainda faltam 80% a serem pagos.

Esses 80% serão divididos em 10 mensalidades, que resultarão em 8% do valor inicial.

8% x 750 = 60.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Hello, Let x = each month payment in 10 months,

x = [ 750 - ( 750 x 0.2) ] / 10 = 60,

Therefore, $60 / month for 10 times...

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Shivam Gulati
Sep 15, 2013

Cost = $750 He paid 20% of $750 that is $150. Left =$600
10 Equal payments in 10 months ,so, $600/10 gives $60

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Bodhisatwa Nandi
Sep 12, 2013

Dan gave a down payment of $ 150. Thus he have to pay $ 600 in 10 equal payments i.e.he have to pay $ 60 in each monthly payment.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Guilherm Machado
Sep 9, 2013

Se a bicicleta custou $750 ele pagou $150(equivalente a 20%) de inicio. Restaram ainda $600 a serem pagos, ele dividiu os $600 em 10 vezes, que foram iguais a 10 vezes de $60.

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Avani Chopra
Sep 9, 2013

20% of 750 is 150. so, 750-150=600. now,this cost is paid in 10 equal monthly payments, so cost of each payment = 600/10 = 60$

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Ajmal Siddiqui
Sep 9, 2013

First calculate the down payment i.e. 20% of 750 which is 150. Subtract this amount from original price 750-150 = 600. This amount is paid in 10 equal monthly installments, hence the amount paid per month is 600/10 which is equal to 60, which is the required answer.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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