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Exercises · Q7

Q.A trader owes three bills — ₹1,000 due 10 days after a chosen base date, ₹1,500 due 25 days after the base date, and ₹2,500 due 55 days after the base date. Find the average due date, measured in days after the base date.

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Here the three bills are a1=₹1,000a_1=₹1{,}000 at t1=10t_1=10 days, a2=₹1,500a_2=₹1{,}500 at t2=25t_2=25 days, and a3=₹2,500a_3=₹2{,}500 at t3=55t_3=55 days from the chosen base date.

Step 1 — Compute each product aitia_it_i.

a1t1=1,000×10=10,000,a2t2=1,500×25=37,500,a3t3=2,500×55=1,37,500a_1t_1=1{,}000\times10=10{,}000, \quad a_2t_2=1{,}500\times25=37{,}500, \quad a_3t_3=2{,}500\times55=1{,}37{,}500

Step 2 — Sum the products and the amounts. …

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