Is it permissible for a syndicate to lend its members money to buy cars from the syndicate's funds, with a 10% annual charge on the remaining amount, knowing that the car's ownership is registered directly in the member's name and a lien is placed on it in favor of the syndicate?

This transaction can take two forms: The first is if the syndicate gives you a loan with an increase, which is forbidden usury (riba) and impermissible. The second is if the syndicate sells cars to its members through a Murabaha sale to a purchasing agent (al-amir bi al-shira'), which is permissible if the Sharia-compliant conditions are met.

The described scenario resembles a Murabaha sale to a purchasing agent, but the possibility of shortening the payment period and saving half the amount makes it one of the "two sales in one sale" that are prohibited. Therefore, this possibility must be removed, and the price should be fixed, not changing with accelerated or delayed payment.

The remaining conditions for Murabaha must be met: The syndicate buys the car, takes possession and ownership of it, then sells it to the buyer in known installments without a late payment penalty or a discount for early payment. The contract must be free from corrupt conditions, and the conditions of sale must be met, with no impediments to the sale existing.