A double inclined plane as shown in the figure has fixed horizontal base and smooth faces with the same angle of inclination of \(30^{\circ}\). A block of mass \(300 \mathrm{~g}\) is on one face and is connected by a cord passing over a frictionless pulley to a second block of mass \(200 \mathrm{~g}\) kept on another face. The acceleration with which the system of the blocks moves is ........ \% of acceleration due to gravity.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.