Maths-

General

Easy

Question

# Nate starts a lawn – mowing business. In his business he has expenses and revenue. Nate’s expenses are the cost of the lawn mower and gas and his revenue is $25 per lawn. At What point will Nate’s revenue exceed his expenses?

Hint:

### Given the cost and expenses on per lawn basis let n be the no.of laws to be mowed so that revenue exceeds his expenses .Then,find the total revenue and total expense on the lawns and find n.

## The correct answer is: The no.of laws to be mowed so that revenue exceed his expenses is 9.

### Ans :- The no.of laws to be mowed so that revenue exceed his expenses is 9.

Explanation :-

let n be the no.of laws to be mowed so that revenue exceed his expenses

Step 1:- find the total revenue and expense of n lawns

Revenue per lawn = $25

Total revenue per n lawns = 25n

The expense are cost of the lawn mower $200(one time expense) and gas $2 per lawn.

So the total expense per n lawns = cost of lawn mower + cost of gasoline per lawn × no.of lawns.

Total expense = $200 + 2n

Step 2 :- Applying condition to find n.

revenue exceed his expenses

25n > 200 + 2 n

23 n > 200

n > 8.7

∴ n = 9

∴The no.of laws to be mowed so that revenue exceed his expenses is 9.

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