Question
Anshul bought 94 t-shirts each of ₹ 576, while Prakash bought 49 t-shirts for ₹ 499 each. What is the total estimated price Anshul and Prakash have to pay? Also, find the exact amount to be paid by both of them. [4 MARKS]
Answer:
:
Concept: 1 Mark
Steps: 2 Marks
Solution: 1 Mark
Anshul has to pay ₹(94 × 576).
The first number, 94, can be rounded off to the nearest ten as 90.
The second number, 576, can be rounded off to the nearest hundred as 600.
Hence, the estimated price of the product = 90 × 600 = ₹54,000
The actual price=94×576 = (90+4)×(600-24) = (90×600-90×24 + 4×600-4×24) = (54000-2160+2400-96) = ₹ 54144
Prakash has to pay₹(49×499).
The first number 49 can be rounded off to the nearest ten as 50.
The second number 499 can be rounded off to the nearest hundred as 500.
The estimated price of the product is 50×500 =₹ 25000
The actual price= 49×499 = (50-1)×(500-1) = (50×500-50×1 -1×500+1×1) =(25000 - 50 - 500 + 1) = ₹ 24451
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:
Concept: 1 Mark
Steps: 2 Marks
Solution: 1 Mark
Anshul has to pay ₹(94 × 576).
The first number, 94, can be rounded off to the nearest ten as 90.
The second number, 576, can be rounded off to the nearest hundred as 600.
Hence, the estimated price of the product = 90 × 600 = ₹54,000
The actual price=94×576 = (90+4)×(600-24) = (90×600-90×24 + 4×600-4×24) = (54000-2160+2400-96) = ₹ 54144
Prakash has to pay₹(49×499).
The first number 49 can be rounded off to the nearest ten as 50.
The second number 499 can be rounded off to the nearest hundred as 500.
The estimated price of the product is 50×500 =₹ 25000
The actual price= 49×499 = (50-1)×(500-1) = (50×500-50×1 -1×500+1×1) =(25000 - 50 - 500 + 1) = ₹ 24451
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