# The Present Population of a Town is 1, 15,200. If It Increases at the Rate of 6 2 3 0/O per Annum 1 Find Its Population 2 Years Ago. - Mathematics

Sum

The present population of a town is 1,
0/o per annum 1, 15,200. If it increases at the rate of 6 2/3 % per annum find
Its population 2 years ago.

#### Solution

Vn = ? ; V0 = 115200 ; r = 6 2/3 % = 20/3 % ; t = 2 years

"V"_"n" = "V"_0  (1 + "r"/100)^"n"

"V"_"n" = 115200 (1 - 20/(100 xx 3))^2

"V"_"n" = 1, 15, 200 xx 0.933333 xx 0.933333

Vn = 1,00,352

The population 2 years ago was = 1, 00,352

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#### APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 1 Compound Interest
Exercise 1.7 | Q 5.2 | Page 25