Question

Aryan found that his friends gave 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? *

(a)Rs 5700

(b)Rs 4500

(c)Rs 3600

(d)Rs 5000​

Answer 1

Question: 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 the remaining on the return gifts to be given. Aryan found that his friends gave him gifts which are equivalent to 3/5 of the amount that he spent on decoration and food

What was the amount of gifts that he received?

(a)Rs 5700

(b)Rs 4500

(c)Rs 3600

(d)Rs 5000​

Option(a): Rs 5700, The amount of gifts that he received is Rs 5700.

Given:

• Aryan was given Rs 20000 by his parents.
• He decided to spend $\frac{1}{4}$ on food.
• $\frac{3}{10}$ of the remaining amount is on decoration.
• $\frac{1}{3}$ of the remaining return, gifts are to be given.
• Aryan found that his friends gave him gifts which are equivalent to $\frac{3}{5}$the amount that he spent on decoration and food.

To Find:

The amount of gifts that he received.

Solution:

• Spend on food = ($\frac{1}{4}$) x 20000  = 5000 Rs.
• Remaining amount = 20000 - 5000 = 15000 Rs.
• Spend on decoration = ($\frac{3}{10}$) x 15000 = 4500 Rs.
• Total spending on decoration and food.  = 5000 + 4500 = 9500 Rs.
• 3/5 of the amount that he spent on decoration and food

          = ($\frac{3}{5}$) x 9500= 5700 Rs.

Hence, The amount of gifts that he received is Rs 5700.

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