Roshan carns Rs 64000 per morth the spend
of his money on rent, of his money on
education and of his money on grocery.
a) In which topic, he spend the most the least
a)
b) Find his monthly saving.
c) Write any 3 rational number between &
d) Convert 0.5 inta fraction.

Ask by Alexander Hodgson. in Nepal

Mar 23,2025

Question

Roshan carns Rs 64000 per morth the spend
of his money on rent, of his money on
education and of his money on grocery.
a) In which topic, he spend the most the least
a)
b) Find his monthly saving.
c) Write any 3 rational number between &
d) Convert 0.5 inta fraction.

Ask by Alexander Hodgson. in Nepal

Mar 23,2025

UpStudy AI · Accepted Answer

**a)**  
We are given that Roshan spends:
- Rent: $$ \frac{3}{8} $$ of his income,
- Education: $$ \frac{4}{10} $$ of his income,
- Grocery: $$ \frac{1}{16} $$ of his income.

Calculating their decimal values:  
$$
\frac{3}{8} = 0.375,\quad \frac{4}{10} = 0.4,\quad \frac{1}{16} = 0.0625
$$  
Thus, he spends the most on education (0.4) and the least on grocery (0.0625).

---

**b)**  
Total income is Rs 64000. The fraction of income spent is:
$$
\frac{3}{8} + \frac{4}{10} + \frac{1}{16}
$$

_First, express each fraction with a common denominator._

A common denominator for 8, 10, and 16 is 160:
$$
\frac{3}{8} = \frac{3\times20}{8\times20} = \frac{60}{160},\quad \frac{4}{10} = \frac{4\times16}{10\times16} = \frac{64}{160},\quad \frac{1}{16} = \frac{10}{160}
$$
Summing these:
$$
\frac{60}{160} + \frac{64}{160} + \frac{10}{160} = \frac{134}{160} = \frac{67}{80}
$$

Therefore, the fraction remaining for savings is:
$$
1 - \frac{67}{80} = \frac{80}{80} - \frac{67}{80} = \frac{13}{80}
$$

_Roshan's monthly savings amount to:_
$$
\frac{13}{80} \times 64000
$$
Since
$$
\frac{64000}{80} = 800,
$$
we obtain:
$$
13 \times 800 = 10400
$$

So, his monthly saving is Rs 10400.

---

**c)**  
We need to list any three rational numbers between $$\frac{1}{6}$$ and $$\frac{4}{10}$$.

First, convert these fractions to decimals for clarity:
$$
\frac{1}{6} \approx 0.1667,\quad \frac{4}{10} = 0.4
$$

Any three rational numbers within this interval can be:

- $$ \frac{1}{4} = 0.25 $$
- $$ \frac{1}{3} \approx 0.3333 $$
- $$ \frac{3}{8} = 0.375 $$

These are valid choices as they lie between approximately 0.1667 and 0.4.

---

**d)**  
To convert 0.5 into a fraction, we note that:
$$
0.5 = \frac{5}{10} = \frac{1}{2}
$$

Thus, $$0.5$$ as a fraction is $$ \frac{1}{2} $$.
**a)** Roshan spends the most on education and the least on grocery. **b)** His monthly savings are Rs 10,400. **c)** Three rational numbers between $$ \frac{1}{6} $$ and $$ \frac{4}{10} $$ are $$ \frac{1}{4} $$, $$ \frac{1}{3} $$, and $$ \frac{3}{8} $$. **d)** 0.5 as a fraction is $$ \frac{1}{2} $$.

Roshan carns Rs 64000 per morth the spend
of his money on rent, of his money on
education and of his money on grocery.
a) In which topic, he spend the most the least
a)
b) Find his monthly saving.
c) Write any 3 rational number between &
d) Convert 0.5 inta fraction.

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Roshan carns Rs 64000 per morth the spend of his money on rent, of his money on education and of his money on grocery. a) In which topic, he spend the most the least a) b) Find his monthly saving. c) Write any 3 rational number between & d) Convert 0.5 inta fraction.

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Latest Arithmetic Questions

Roshan carns Rs 64000 per morth the spend
of his money on rent, of his money on
education and of his money on grocery.
a) In which topic, he spend the most the least
a)
b) Find his monthly saving.
c) Write any 3 rational number between &
d) Convert 0.5 inta fraction.