Q4: Had Aryan spent of the remaining amount (after decoration) on return gifts, then the amount left
would be a number having decimal expansion
19
(A) terminating and non-repeating
(B) non terminating repeating
(C) non terminating non-repeating
(D) can't be determined
Answers
Answer:
non terminating repeating
(b)
The amount left would be a number having decimal expansion (A) terminating and non-repeating
Given,
Aryan was given 20,000 by his parents.
He spent 1/4 on food.
Amount spent od decoration is 3/10 of the remaining amount.
The amount spent on return gifts is 1/3 of the remaining amount.
The amount he needs to help his friend = 10,000
To find,
The decimal expansion of the amount left.
Solution:
Amount given by Aryan's parents = 20,000
Amount spent of food = (1/4)(20,000) = 5,000
Remaining amount = 20,000 - 5,000 = 15,000
Amount spent on decoration = (3/10)(15,000) = 4,500
Remaining amount = 15,000 - 4500 = 10,500
Amount spent on return gifts = (1/3) (10, 500) = 3,500
Remaining amount = 10,500 - 3,500 = 7,000
end
After the decimal point, the number comes to an end.
Hence, The remaining amount is terminating and non-repeating.
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