Question

The production of cars in a factory decreased by 5 1/2% from 2015 to 2016. If the factory produced 1890 cars in 2016, find the number of cars produced by the factory in 2015.

Answer 1

Given:

The production of cars in a factory decreased by 5 1/2% from 2015 to 2016. If the factory produced 1890 cars in 2016.

To find:

The number of cars produced by the factory in 2015.

Solution:

Let's assume "P" represents the no. of cars produced by the factory in 2015.

The no. of cars produced by the factory in 2016 = 1890

The rate of decrease, r = $5\frac{1}{2} \% = \frac{11}{2} \% = 5.5\%$

The no. of years, n = 2016 - 2015 = 1 year

To solve the given problem, we will use the following formula:

$\boxed{\bold{A = P [1 + \frac{r}{100} ]^n }}$

where

A = no. of cars produced in 2016

P = no. of cars produced in 2015

r = rate of decrease

n = no. of years

Now, on substituting the given values in the formula above, we get

$1890 = P [1 - \frac{5.5}{100} ]^1 }}$

$\implies 1890 = P [1 - 0.055 ]^1 }}$

$\implies 1890 = P [0.945 ]^1 }}$

$\implies P = \frac{1890}{0.945}$

$\implies \bold{ P = 2000}$

Thus, the number of cars produced by the factory in 2015 is → 2000.

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Answer 2

Answer:

Step-by-step explanation:

2000