Question 3

Mbox laptop store offers a $20\%$ discount for purchasing series $A$ laptops. Purchases at the store can be paid in monthly installments (with equal amounts, starting from the second month) with a simple interest of $6\%$ per year. The down payment required is at least $10\%$ of the initial price, and every subsequent minimum multiple will get an interest reduction of $1\%$ per year, up to a maximum of $2\%$ per year.

Juju buys a series $B$ laptop for $\text{Rp}20,000,000.00$ by installments. If Juju pays a down payment of $10\%$ , the interest Juju has to pay per month is ....

$\text{Rp}80,000.00$

$\text{Rp}90,000.00$

$\text{Rp}100,000.00$

$\text{Rp}110,000.00$

$\text{Rp}120,000.00$

Explanation

We will calculate the monthly interest Juju has to pay based on the laptop price, down payment, and applicable interest rate. Note that the $20\%$ discount only applies to series $A$ laptops, while Juju buys a series $B$ laptop, so the normal price applies.

Calculating Down Payment

Juju buys a laptop for $\text{Rp}20,000,000.00$ and pays a down payment of $10\%$ .

\text{Down Payment} = 10\% \times 20,000,000 = 2,000,000

So, the down payment paid is $\text{Rp}2,000,000.00$ .

Calculating Remaining Loan Amount

The remaining loan amount (principal) is the initial price minus the down payment.

\text{Remaining Loan} = 20,000,000 - 2,000,000 = 18,000,000

The remaining amount to be paid in installments is $\text{Rp}18,000,000.00$ .

Determining Interest Rate

The normal simple interest is known to be $6\%$ per year. There is a provision for interest reduction if the down payment is greater than $10\%$ (subsequent multiples). Since Juju only pays the minimum down payment of $10\%$ , she does not get an interest reduction.

The applicable interest rate remains $6\%$ per year.

Calculating Monthly Interest

Annual interest is calculated from the remaining loan:

\text{Annual Interest} = 6\% \times 18,000,000

Since the question asks for monthly interest, we divide the annual interest by 12:

\text{Monthly Interest} = \frac{6\%}{12} \times 18,000,000

\text{Monthly Interest} = 0.5\% \times 18,000,000

\text{Monthly Interest} = 90,000

So, the interest Juju has to pay per month is $\text{Rp}90,000.00$ .

Command Palette

Number 3

Explanation

Calculating Down Payment

Calculating Remaining Loan Amount

Determining Interest Rate

Calculating Monthly Interest