3 Marks Question

Question 13 Marks

A man purchase an almirah for $Rs. 11025$, gives $172.50$ as its cartage and spends $Rs. 64.80$ on its repair. How much does the almirah cost him?

Answer

We have: Cost of almirah $11025.00$ rupees. Its cartage $172.50$ rupees.
Spend for the repair $64.80$ rupees.
Total spends money are, $\ \ \ \ \ \ \ \ \ 64.80\\ \ \ \ \ \ \ \ 172.50\\ \underline{+11025.00}\\ \ \ \ \underline{11262.30}$
Hence, the cost of almirah is $11262.30$ rupees.

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Question 23 Marks

Radhika bought $2m 5\ cm$ cloth for her salwar and $3m 35\ cm$ cloth for her shirt. Find the total length of cloth bought by her.

Answer

We have:
The length for her salwar $= 2.05m.$
The length for her shirt $= 3.35m.$
Total length of cloth,
$\ \ \ \ \ \ 2.05\\\ \ \ \underline{+3.35\ }\\ \ \ \ \underline{\ \ \ 5.40\ }$
Hence, the total length of cloth bought by her $= 5m, 40c.m$

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Question 33 Marks

Simplify:
$75.3 - 104.645 + 178.96 - 47.9$

Answer

$75.3 - 104.645 + 178.96- 47.9$
$= 75.300 - 104.645 + 178.960 - 47.900$
(Converting into like decimals)
$= 75.300 + 178.960 - 104.645 - 47.900$
$= (75.300 + 178.960) - (104.645 + 47.900)$
$= 254.260 - 152.545$
$= 101.715$
Working:
$\ \ \ \ \ 75.300\\ \underline{+178.960}\\ \underline{\ \ \ 254.260}$
$\ 104.645\\ \underline{+47.900}\\ \underline{\ \ 152.545}$
$\ \ \ 254.260\\ \underline{-152.545}\\ \underline{\ \ \ 101.715}$

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Question 43 Marks

Ramu bought $2m \ 70\ cm$ cloth for his shirt and $2m \ 60\ cm$ cloth for his pyjamas. Find the total length of cloth bought by him?

Answer

We have:
The length for cloth of shirt $= 2.70m.$
The length for cloth of pyjamas $= 2.60m.$
Total length of cloth,
$\ \ \ 2.70\\ \underline{+2.60} \\\underline{\ \ \ 5.30}$
Hence, the total length of cloth bought by him $= 5m, 30\ cm.$

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Question 53 Marks

Simplify: $213.4 - 56.84 - 11.87 - 16.087$

Answer

$213.4 - 56.84 - 11.87 - 6.087 = 213.400 - 56.840 - 11.870 - 16.087$ (Converting into like decimals)
$= 213.400 - (56.840 + 11.870 + 16.087) = 213.400 - 84.797 = 128.603$
Working: $\ \ \ \ 56.840\\ \ {+11.870}\\\ \underline{+16.087}\\ \underline{\ \ \ \ 84.797}$
$\ 213.400\\ \underline{-84.797}\\ \underline{\ 128.603}$

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Question 63 Marks

Kunal purchased a notebook for $Rs. 19.75$, a pencil for $Rs. 3.85$ and a pen for $Rs. 8.35$ from a bookshop. He gave a $50$ rupee note to the shopkeeper. What amount did he get back?

Answer

Cost of a notebook $= Rs. 19.75$
Cost of a pencil $= Rs. 3 .85$
Cost of a pen $= Rs. 8.35$
Total cost $= Rs. 19.75 + Rs. 3.85 + Rs. 8.35 = Rs. 31.95$
Amount given to the bookshop $= Rs. 50$
Balance amount to get back $= Rs. 50.00 - Rs. 31.95 = Rs. 18.05$
Working: $\ {19.75}\\{+3.85}\\ \underline{+8.35}\\\ \underline{ 31.95}$

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Question 73 Marks

The distance between Reeta’s house and her office is $14\ km$. She covers $10\ km \ 65m$ by scooter, $3\ km \ 75m$ by bus and the rest on foot. How much distance does she cover by walking?

Answer

Total distance $= 14\ km$
Distance covered by scooter $= 10\ km \ 65m$
Distance covered by bus $= 3\ km \ 75m$
Total distance covered by scooter and by bus $= 10\ km \ 65m + 3\ km \ 75m$
$= 10.065\ km + 3 075m$
$= 13.140\ km$
Remaining distance covered by walking
$= (14.000 - 13.140)\ km$
$= 0.860\ km$
$= 860m$
Working:
$\ {10.065}\\ \underline{+3.075}\\ \underline{\ 13.140}$
$\ \ \ {14.000}\\ \underline{-13.140}\\\ \underline{\ \ 00.860}$

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Question 83 Marks

Simplify: $76.3 - 7.666 - 6.77$

Answer

$76.3. - 7.666. - 6.77 = 76.300 - 7.666 - 6.770$ (Converting into like decimals)
$= 76.300 - 14.436 = 61.864$
Working: $\ \ \ \ {7.666}\\\ \underline{+6.770}\\ \underline{\ \ 14.436}$ $\ \ \ 76.300\\ \underline{-14.436}\\ \underline{\ \ \ 61.864}$

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Question 93 Marks

Sunita purchased $5\ kg \ 75g$ of fruits and $3\ kg \ 465g$ of vegetables, and put them in a bag. If this bag with these contents weighs $9\ kg,$ find the weight of the empty bag.

Answer

Weight of fruits $= 5\ kg \ 75g$
Weight of vegetables $= 3\ kg \ 465\ kg$
Total weight of both $= 5\ kg \ 75g + 3\ kg \ 465g = 5.075\ kg + 3.465\ kg = 8.540\ kg$
Gross weight of bag with these things $= 9\ kg$
Net weight of bag $= 9.000 - 8.540 = 0.460\ kg = 460g$
Working: $\ \ \ {5.075}\\ \underline{+3.465}\\\ \underline{\ \ 8.540}$ $\ \ \ {9.000}\\ \underline{-8.540}\\\ \underline{\ \ 0.460}$

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Question 103 Marks

Simplify: $37.6 + 72.85 - 58.678 - 6.09$

Answer

Converting them in like decimals $37.600 + 72.850 - 58.678 - 6.090 $
$= (37.600 + 72.850) - (58.678 + 6.090) $
$= 110.450 - 64.768 $
$= 45.682$
Working: $\ \ \ 37.600\\ \underline{+72.850}\\ \underline{\ 110.450}$ $\ 110.450\\ \underline{-64.768}\\ \underline{\ \ \ 45.682}$ $\ 58.678\\ \underline{+6.090}\\ \underline{\ 64.768}$

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Question 113 Marks

Ramesh covers $36\ km \ 235m$ by taxi, $4\ km \ 85m$ by rickshaw and $1\ km \ 80m$ on foot. What is the total distance covered by him?

Answer

We have: Distance covered during the taxi $36.235\ km.$
Distance covered by the rickshaw $4.850\ km.$
Distance covered by the foot $1.800\ km.$
The total distance is, $\ \ \ \ \ 4.850\\ \ \ \ \ \ 1.800\\ \underline{+36.235}\\ \ \ \ \underline{41.328}$
Hence, the length of his journey $= 41.400\ km = 41\ km \ 400m.$

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Question 123 Marks

During three days of a week, a rickshaw puller earns $Rs. 32.60, Rs. 56.80$ and $Rs. 72$ respectively. What is his total earning during these days?

Answer

We have: $1st$ day $32.60$ rupees.
$2nd$ day $56.80$ rupees.
$3rd$ day $72.00$ rupees.
Total earning in three days, $\ \ \ 32.60\\\ \ \ 56.80\\\underline{+72.00}\\ \underline{\ 161.40\ }$
Hence, the earning money of the rickshaw puller is $161.40$ rupees.

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Question 133 Marks

A bag contains $45\ kg \ 80g$ of sugar and the mass of the empty bag is $950g$. What is the mass of the bag containing this much of sugar?

Answer

Weight of empty bag $= 0.950kg.$
Weight of the sugar filled in it $= 45.800kg.$
Total weight, $\ \ \ \ \ 0.950\\ \underline{+45.080}\\ \underline{\ \ \ 46.030}$
Hence, the total weight of the bag filled with sugar $= 46.30kg = 46kg 30g.$

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Question 143 Marks

If the school bags of Neelam and Garima weigh $6\ kg \ 80g$ and $5\ kg \ 265g$ respectively, whose bag is heavier and by how much?

Answer

Weight of Neelam’s bag $= 6\ kg \ 80g$
Weight of Garima bag $= 5\ kg \ 265g$
Difference in their weights $= 6\ kg \ 80g - 5\ kg \ 265g $
$= 6.080\ kg - 5.265\ kg $
$= 0.815\ kg $
$= 815g$
Neelam’s bag is heavier by $815g$
Working: $\ \ \ \ {6.080}\\\ \underline{-5.265}\\\ \underline{\ \ \ 0.815}$

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