### Theory:

Example:
1. Verify the correctness of the following bill.

ABC Store, Chennai

Bill Number $$=$$ $$25$$

Date $$=$$ $$06-06-2020$$

 S. No. Items Quantity(in nos.) Rate(per item) Amount (in $$Rs.$$) 1 Bag $$2$$ $$500$$ $$1000$$ 2 Bottle $$3$$ $$25$$ $$75$$ 3 Notepad $$5$$ $$50$$ $$250$$

Total amount to be paid $$=$$ $$Rs.1325$$

Solution:

Item $$1 =$$ Bag

Quantity (in numbers) $$= 2$$

Rate (per item) $$= Rs.500$$

Amount to be paid for the bags $$=$$ $$\text{Quantity}$$ $$×$$ $$\text{Rate}$$ $$= 2$$ $$×$$ $$500 = Rs.1000$$

Verdict: Verified

Item $$2 =$$ Bottle

Quantity (in numbers) $$= 3$$

Rate (per item) $$= Rs.25$$

Amount to be paid for the bottles $$=$$ $$\text{Quantity}$$ $$×$$ $$\text{Rate}$$ $$= 3$$ $$×$$ $$25 = Rs.75$$

Verdict: Verified

Item $$3 =$$ Notepads

Quantity (in numbers) $$= 5$$

Rate (per item) $$= Rs.50$$

Amount to be paid for the notepad $$=$$ $$\text{Quantity}$$ $$×$$ $$\text{Rate}$$ $$= 5$$ $$×$$ $$50$$ $$= Rs.250$$

Verdict: Verified

Total amount to be paid $$=$$ Amount to be paid for Item $$1$$ $$+$$ Amount to be paid for Item $$2$$ $$+$$ Amount to be paid for Item $$3$$

$$=$$ Amount to be paid for the bags $$+$$ Amount to be paid for the bottles $$+$$ Amount to be paid for the notepads

$$= 1000 + 75 + 250$$

$$= Rs.1325$$

Verdict: Verified

2. Prepare a bill for the following set of items.

$$4$$ kilograms of apples worth $$Rs.60$$ per kilogram.

$$3$$ kilograms of oranges worth $$Rs.50$$ per kilogram.

$$4$$ kilograms of mangoes worth $$Rs.40$$ per kilogram.

Solution:

Item $$1$$ $$=$$ Apples

Quantity (in kilograms) $$= 4$$

Rate (per kilogram) $$= Rs.60$$

Amount to be paid for the apples $$=$$ $$\text{Quantity}$$ $$×$$ $$\text{Rate}$$ $$= 4$$ $$×$$ $$60$$ $$= Rs. 240$$

Item $$2 =$$ Oranges

Quantity (in kilograms) $$= 3$$

Rate (per kilogram) $$= Rs.50$$

Amount to be paid for the oranges $$=$$ $$\text{Quantity}$$ $$×$$ $$\text{Rate}$$ $$= 3$$ $$×$$ $$50$$ $$= Rs.150$$

Item $$3$$ = Mangoes

Quantity (in kilograms) $$= 4$$

Rate (per kilogram) $$= 40$$

Amount to be paid for the oranges $$=$$ $$\text{Quantity}$$ $$×$$ $$\text{Rate}$$ $$= 4$$ $$×$$ $$40 = Rs.160$$

The total amount to be paid $$=$$ Amount to be paid for Item $$1 +$$ Amount to be paid for Item $$2 +$$ Amount to be paid for Item $$3$$

$$= 240 + 150 + 160$$

$$= Rs.550$$

Now, the bill will look like the following.

 S. No. Items Quantity(in $$kgs$$) Rate(per $$kg$$) Amount(in $$Rs.$$) 1 Apples $$4$$ $$60$$ $$240$$ 2 Oranges $$3$$ $$50$$ $$150$$ 3 Mangoes $$4$$ $$40$$ $$160$$

Total amount to be paid $$= Rs.550$$