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Worked Examples · Example 2

Q.A shopkeeper insures his stock worth ₹1,50,000 for 80% of its value. If the premium rate is 2%, find

(i) the sum insured and
(ii) the premium paid.
Maharashtra MsbshseTextbookSubjectiveImportance★★★★★
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✓ Free question
  1. Sum insured — the stock is insured for a fraction k=80%k=80\% of its value V=₹1,50,000V=₹1{,}50{,}000:

    Sum insured=k×V=80100×150000=₹1,20,000.\text{Sum insured}=k\times V=\frac{80}{100}\times150000=₹1{,}20{,}000.

  2. Premium — charged on the sum insured (not the full value):

    Premium=2100×120000=₹2,400.\text{Premium}=\frac{2}{100}\times120000=₹2{,}400.

    Check (independent verification): 1%1\% of ₹1,20,000 is ₹1,200, so 2%2\% is 2×1200=₹2,4002\times1200=₹2{,}400 — consistent. (Had the premium wrongly been charged on the full ₹1,50,000 it would be ₹3,000, which the question does not ask for.)
    ✓Final answer

    (i) Sum insured == ₹1,20,000; (ii) Premium == ₹2,400

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