Harry has $2500 in cash to pay for a secondhand car, or he can pay $500 down and $155 per month for 2 years. If he doesn't pay the full amount in cash, he knows he can make $150 by investing his money.

How much will he lose if he uses the more expensive method of payment?

If Harry pays the full amount in cash, he will not lose any money, as he will use all of his $2500.

If he chooses to make payments, he will make 24 payments of $155, which equals 24 * 155 = $<<24*155=3720>>3720.
He will also pay an additional $500 down payment, so his total cost will be 3720 + 500 = $<<3720+500=4220>>4220.

If he chooses to invest his money and make $150, he will be left with 2500 + 150 = $<<2500+150=2650>>2650.

Therefore, he will lose 2650 - 4220 = $<<2650-4220=-1570>>1570 if he chooses the more expensive method of payment. Answer: \boxed{1570}.

If Harry pays $500 down and $155 per month for 2 years, the total cost of the car will be $500 + ($155 * 12 months * 2 years) = $500 + $3720 = $4220.

If Harry doesn't use the more expensive method of payment and instead decides to invest his money, he can make $150.

So, Harry will lose $4220 - $150 = $4070 if he uses the more expensive method of payment.

To find out how much Harry will lose if he uses the more expensive method of payment, let's calculate the total cost of both options.

Option 1: Paying in cash
Harry has $2500 in cash to pay for the secondhand car.

Option 2: Paying with a down payment and monthly installments
Harry can pay $500 as a down payment and the remaining amount in monthly installments of $155 for 2 years.
First, let's calculate the total amount paid in installments:
$155 per month for 2 years is equal to 24 months, so the total amount paid in installments will be: $155 * 24 = $3720.

Now, let's find out how much Harry will have if he invests his $2500 and earns $150:
Harry invests $2500 and gains an additional $150. Hence, the total amount he will have after the investment is $2500 + $150 = $2650.

Finally, let's calculate the difference between the two options to find out how much Harry will lose:
By choosing the more expensive method of payment, Harry will lose $3720 (total paid in installments) - $2650 (money earned from investment) = $1070.

Therefore, Harry will lose $1070 if he uses the more expensive method of payment.