Aryan was given Rs 20000 by his parents to arrange a party for his birthday. He planned to spend 1/4 on food, 3/10 of the remaining amount on decoration and 1/3 of remaining on the return gifts to be given. His parents were very happy to see his planning as he could save some amount but suddenly they come to know that he needs Rs 10000 urgently as his friend.Aryan found that his friends have him gifts which are equivalent to 3/5 of amount that he spent on decoration and food.what was the amount on gifts that he received?
Answers
Given : Aryan was given Rs 20000 by his parents to arrange a party for his birthday.
He planned to spend 1/4 on food,
3/10 of the remaining amount on decoration
and 1/3 of remaining on the return gifts to be given
Aryan found that his friends gave him gifts which are equivalent to 3/5 of amount that he spent on decoration and food.
To Find : What
was the amount on gifts that he received?
A) Rs 5700
B) Rs 4500
C) Rs 3600
D) Rs 5000
Solution:
Spend on food = (1/4)20000 = 5000
Remaining = 20000 - 5000 = 15000
Spend on decoration = (3/10) 15000 = 4500
spent on decoration and food. = 5000 + 4500 = 9500
3/5 of amount that he spent on decoration and food. = (3/5)9500
= 5700
amount on gifts that he received = 5700
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Step-by-step explanation:
Total money Aryan had = 20,000
Total money he spent on food = 1/4 of 20000
= Rs. 5000
Total money he spent on decoration = 3/10 of remaining money
= 3/10 of 15000
= Rs. 4500
now remaining money = 15000-4500 = Rs. 10,500
now amount of gift = 3/5 of money he spent on decoration and food
= 3/5 of (5000+4500)
= (3/5)×9,500
= Rs. 5700