Question

A factory increases it's annual production of radios from 4325 to 4671. calculate the number of radios it would have had to produce for an increase of 12%​

Answer 1

Given:

Annual production of radios from 4325 to 4671.

To Find:

The number of radios it would have had to produce for an increase of 12%.

Solution:

We have,

A = 4671

P = 4325

As we know that,

$\: \: \sf \: a = p(1 + \frac{r}{100} )$

Now put on formula

$\: \: \sf \: 4671 = 4325(1 + \frac{r}{100} ) \\ \\ \: \: \sf \: (1 + \frac{r}{100} ) = 1.08 \\ \\ \: \: \sf \: \frac{r}{100} = 1.08 - 1 \\ \\ \: \: \sf \: \frac{r}{100} = 0.08 \\ \\ \: \sf \: r = 8 \: percent$

Increased ratios = 346

As we know,

A = P × r/100

Now put on formula

A = 4325 × 12/100

A = 51900/100

A = 519

After 12% increase in ratio = 519 - 346 = 173

Hence, The number of radios is 173.