Calculate annual premium when sum assured and premium rate are given.
--- SHORTCUT / TRICK ---
TRICK 1 — The 'Per Mille' Shortcut:
Insurers quote premium as 'per Rs. 1000 of Sum Assured.'
Formula: Annual Premium = (Sum Assured / 1000) x Rate
Example: Sum Assured = Rs. 5,00,000, Rate = Rs. 3 per thousand
Premium = (5,00,000 / 1000) x 3 = 500 x 3 = Rs. 1,500. Done in 5 seconds.
TRICK 2 — Loading is ALWAYS added to Pure Premium, never subtracted. If a question asks for Gross Premium, always add loading. Students often subtract it by mistake.
--- WORKED EXAMPLE ---
Question: Mr.
Arjun takes a life insurance policy with Sum Assured of Rs. 10,00,000. The pure premium rate is Rs. 2.5 per thousand. Loading is 40% of pure premium. Calculate the Gross Annual Premium.
Step 1 — Calculate Pure Premium:
Pure Premium = (Sum Assured / 1000) x Rate
Pure Premium = (10,00,000 / 1000) x 2.5
Pure Premium = 1000 x 2.5 = Rs. 2,500
Step 2 — Calculate Loading:
Loading = 40% of Rs. 2,500
Loading = (40/100) x 2,500 = Rs. 1,000
Step 3 — Calculate Gross Premium:
Gross Premium = Pure Premium + Loading
Gross Premium = 2,500 + 1,000 = Rs. 3,500
Answer: Gross Annual Premium = Rs. 3,500
--- COMMON MISTAKE ---
Students confuse Sum Assured with Premium.
Sum Assured is what the insurer PAYS on a claim. Premium is what the policyholder PAYS to the insurer. Never mix these two up in MCQs. Also, many forget to add loading and report only the pure premium as gross premium — that is wrong.