Q8 of 96 Page 287

Out of the four options, only one is correct. Write the correct answer.

Ashima took a loan of Rs 1,00,000 at 12% p.a. compounded half yearly. She paid Rs 1,12,360. If (1.06)2 is equal to 1.1236, then the period for which she took the loan is

Given principal (P) = ₹100000


Rate of interest (R%) = 12% per annum compounded half – yearly


Let m be the time period.


Amount paid = ₹112360


We know that,


When amount is interested compounded half – yearly


i.e A = P, where n = time period


⇒ 112360 = 100000


⇒


⇒


⇒


On comparing both sides, we get


2m = 2


⇒


⇒ m = 1


So, the time period is 1 yr.


Hence, option (b) is correct.

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