Let's address each question step-by-step:
i) Write the amount donated by Raj.
Raj donated [tex]\(\frac{2}{3}\)[/tex] of his salary.
- Raj's salary: ₹ 42,000
- Amount donated by Raj: [tex]\(\frac{2}{3} \times 42,000 = 28,000\)[/tex]
So, Raj donated ₹ 28,000.
ii) Write the amount donated by his wife.
Raj's wife donated [tex]\(\frac{2}{3}\)[/tex] of her salary.
- Wife's salary: ₹ 24,000
- Amount donated by his wife: [tex]\(\frac{2}{3} \times 24,000 = 16,000\)[/tex]
So, Raj's wife donated ₹ 16,000.
iii) Which property will be used to find the total amount of donation by Raj and his wife?
To find the total amount of donation by Raj and his wife, we use the Addition Property (specifically, the property that allows us to add quantities directly).
Total amount of donation [tex]\(= 28,000 + 16,000 = 44,000\)[/tex].
So, the property used here is the Addition Property.
iv) Who donated more money and by how much?
Raj donated ₹ 28,000 and his wife donated ₹ 16,000.
To find out who donated more and by how much, we compare the two amounts:
- Raj's donation: ₹ 28,000
- Wife's donation: ₹ 16,000
Raj donated more money. The difference is [tex]\(28,000 - 16,000 = 12,000\)[/tex].
So, Raj donated ₹ 12,000 more than his wife.
v) Find the product of money donated by both.
The product of the money donated by Raj and his wife is:
- Raj's donation: ₹ 28,000
- Wife's donation: ₹ 16,000
Product [tex]\(= 28,000 \times 16,000 = 448,000,000\)[/tex].
So, the product of the money donated by both is ₹ 448,000,000.
