Question

20. For her mobile phone service Divya pays 145 per month and 75 paise for each extra minute
she talks over the allowed number of minutes in the monthly plan. She received a bill of
178 last month. How many extra minutes did she use her phone beyond the allowed time?​

Answer 1

Answer:

Let the number of extra minutes is xx.

First, convert 7575 paise into rupees.

We know that 100100 paise is equal to Rs. 11

Therefore, 7575 paise is equal to Rs. 0.750.75.

Now, extra minutes are xx and the amount charged on each extra minute is Rs. 0.750.75. Therefore, the total extra amount will be the product of the total number of extra minutes and charge of each minute.

That is, 0.75x0.75x

Since, the bill includes the total amount, therefore, Rs. 178178is equal to the sum of Rs. 145145and total extra amount charged.

That is, 0.75x+145=1780.75x+145=178

Simplify the equation to evaluate the value of xx by taking constants at one side.

⇒0.75x=178−145⇒0.75x=33⇒0.75x=178−145⇒0.75x=33

Divide both sides by 0.750.75.

⇒x=330.75⇒x=44⇒x=330.75⇒x=44

∴∴, 4444 extra minutes, she used her phone beyond the allowed time.