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A sum amounts to ₹ 3605 in 219 days at 5% per annum. The sum is

(a) ₹ 3250 (b) ₹ 3500 (c) ₹ 3400 (d) ₹ 3550

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(b) ₹ 3500

Because,

Let the required sum be ₹ x

Then,

SI = (P × R × T)/ 100

Amount = P + SI

= x + [(x × R × T)/ 100]

= x [1 + ((R × T)/ 100)]

x = Amount/ [1 + ((R × T)/ 100)]

= 3605/ [1 + ((5/100) × (219/365))]

= (3605 × 36500)/ 37595

x = ₹ 3500

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