Tag: decimal fractions in the units of currency, length, weight, capacity

Questions Related to decimal fractions in the units of currency, length, weight, capacity

Prerna has Rs. $5000$. She bought $2$ boxes of chocolates for Rs. $52.98$ each, $3$ packets of chips for Rs. $12.98$ each and $2$ books for Rs. $300.05$ each. How much money left with her?

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. Rs. $4255$

  2. Rs. $4750$

  3. Rs. $4000$

  4. Rs. $3875$

Show answer
Correct Option: A
Explanation:

Total expenditure $=Rs. ((2\times 52.98)+(3\times 12.98)+(2\times 300.05))$
$=Rs. (105.96+38.94+600.10)=Rs. 745$
Amount of money left with her$=Rs. (5000-745)=Rs. 4255$.

Rahul purchased $4$kg $500$g rice, $5$kg $650$g sugar and $12$kg $600$g atta. The total weight of his purchases was __________.

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $10.150$kg

  2. $22.750$kg

  3. $25.350$kg

  4. $18.250$kg

Show answer
Correct Option: B
Explanation:

Weight of rice $=4$kg $500$g $=4.500$kg
Weight of sugar $=5$kg $650$g $=5.650$ kg
Weight of atta $=12$kg $600$g $=12.600$ kg
$\therefore$ Total weight of all items $=(4.500+5.650+12.600)$kg
$=22.750$kg.

Fill in the banks: 
$88\, cm =...................... meter$

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $0.88$

  2. $0.66$

  3. $0.55$

  4. $0.99$

Show answer
Correct Option: A
Explanation:

$1$ meter $= 100$ cm


So, $88 \,  cm =$ $\dfrac{88}{100}  \, meter$

$= 0.88$ meter

A road is $4$ km $ 800$ m long. If trees are planted both its sides at intervals of $9.6$ m, how many trees were planted?

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $400$

  2. $500$

  3. $700$

  4. $1000$

Show answer
Correct Option: B
Explanation:

Total length $=4.8$kms $=4800$m


Interval $=9.6$ m

Number of trees planted $=\dfrac{4800}{9.6}=500$

Abhishek has Rs. $817.45$. He bought toys for Rs. $538.30$. The balance amount left with Abhishek is ___________.

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. Rs. $279.30$

  2. Rs. $265.45$

  3. Rs. $279.15$

  4. Rs. $315.82$

Show answer
Correct Option: C
Explanation:

Amount of money Abhishek had $=Rs. 817.45$
Amount of money spent by him on toys $=Rs. 538.30$
$\therefore$ Amount of money left with him $=Rs. (817.45-538.30)=Rs. 279.15$.

Mohan bought $500$ g of cabbage, $250$ g of onions, $750$ g of potatoes, $600$ g of apples.
Calculate total weight in kilograms.

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $2100$kg

  2. $21.00$kg

  3. $2.100$kg

  4. $0.2100$kg

Show answer
Correct Option: C
Explanation:
Weight of cabbage is $500$ gm

Weight of onions is $250$ gm

Weight of potatoes is $750$ gm

Weight of apples is $600$ gm

Total weight of fruits and vegetables in grams is:

$500+250+750+600=2100$ gm

We know that $1$ kg $=1000$ gm

Therefore, $2100$ gm can be converted in kgs as follows:

$\dfrac {2100}{1000}=2.100$ kg

Hence, the total weight is $2.1$ kg.

$1\ km\ 250\  m =....................km$
Fill in the blank by chosing correct option from the following options

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $10.360$

  2. $10250$

  3. $1.250$

  4. $10.625$

Show answer
Correct Option: C
Explanation:

We know that $1\ m$=$1000\ km$.


Now, let us convert $250\ m$ in kms by dividing it by $1000$ as follows:

$\dfrac {250}{1000}=0.25$

Therefore, $250\ m$=$0.25\ km$

Thus we have:

$1\ km$ $250\ m$=$(1+0.25)\ km$=$1.25\ km$

Hence, $1\ km$ $250\ m$=$1.25\ km$

What is the ratio of 1 mm to 1 cm?

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. 1: 100

  2. 10: 1

  3. 1: 10

  4. 100:1

Show answer
Correct Option: C
Explanation:

As we know that

$1\ cm =10\ mm$
Ratio of $1\ mm $ to $1\ cm$  is $1\ mm:1\ cm=1\ mm :10\ mm=1:10$

The cost of 1kg of sugar is Rs.18.What is cost of 250gms of sugar?

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $Rs.9$

  2. $Rs.4.5$

  3. $Rs.8$

  4. $Rs.5.5$

Show answer
Correct Option: B
Explanation:

We know that $1$kg=$1000$gm.


It is given that the cost of $1$kg sugar is Rs.$18$ which means that the cost of $1000$g sugar is Rs.$18$ then cost of one gram sugar will be:


$\dfrac {18}{1000}=0.018$

Therefore, $1$gm sugar costs Rs.$0.018$.

Now, the cost of $250$gms of sugar will be as follows:

Cost$\times$number of grams$=0.018\times 250=4.5$

Hence, the cost of $250$gms of sugar is Rs.$4.5$.

How much pure alcohol should be added to $400 ml$ of strength $15\%$ to make its strength $32\%$?

maths fraction one fraction, many forms use of decimals in measure of length decimal fractions in the units of currency, length, weight, capacity

  1. $50 ml$

  2. $75 ml$

  3. $100 ml$

  4. $150 ml$

Show answer
Correct Option: C
Explanation:

The amount of alcohol in $400ml$ solution of $15\%$ strength

$=400\times \cfrac { 15 }{ 100 } ml=60ml$

Let the required amount of alcohol to be added $=x$ ml.
It will increase the amount of the solution by $x$ ml.

$\therefore $ The amount of alcohol now $=(60+x)ml$
and the amount of the solution$=(400+x)ml$.
Then, the strength $=32\%=\cfrac { 60+x }{ 400+x } =\cfrac { 32 }{ 100 }$

$\Rightarrow 25x+1500=3200+8x\ \Rightarrow 17x=1700\ \Rightarrow x=100$.
So, the required amount of pure alcohol to be added $=100 ml$.