High Order Thinking Skills (HOTS)
22. A 60-litre tank was full of oil. Sam used. 40%
of it and poured the rest into a 40 litre tank.
(i) What per cent of the 40-litre tank was filled
with oil ?
(ii) If Sam used 3 litres of oil daily, what per
cent of oil in the 40 litre tank would be
used in 10 days?
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Answers
High Order Thinking Skills (HOTS)
A 60-litre tank was full of oil. Sam used 40% of it and poured the rest into a 40 litre tank.
- What per cent of the 40-litre tank was filled with oil ?
- If Sam used 3 litres of oil daily, what per cent of oil in the 40 litre tank would be used in 10 days?
Sam used 40% of it and poured the rest into a 40 litre tank.
Sam used 3 litres of oil daily.
What per cent of the 40-litre tank was filled with oil ?
If Sam used 3 litres of oil daily, what per cent of oil in the 40 litre tank would be used in 10 days?
Sam used 40% of total oil of 60-litre tank.
40% of 60 ltrs
= ltrs
= 24 ltrs
Remaining oil
= (60-24) ltrs
= 36 ltrs
So, 36 ltrs of oil was poured in 40-litre tank.
So, let the percentage be x%.
x% of 40 = 36
➳ ×40 = 36
➳ = 36
➳ 40x = 36 × 100
➳ 40x = 3600
➳ x =
➳ x = 90
So, 90% of the 40 litre tank is filled with oil.
Sam uses 3 ltrs of oil per day.
Oil used in 10 days
= (3 × 10) ltrs
= 30 ltrs
Let the percentage be y%.
y% of 36 = 30
➳ ×36 = 30
➳ = 30
➳ 36y = 30 × 100
➳ 36 = 3000
➳ y =
➳ y = 83
- 90% of the 40-litre tank was filled with oil.
- If Sam used 3 litres of oil daily, 83% of oil in the 40 litre tank would be used in 10 days.
Answer:
High Order Thinking Skills (HOTS)
A 60-litre tank was full of oil. Sam used 40% of it and poured the rest into a 40 litre tank.
What per cent of the 40-litre tank was filled with oil ?
If Sam used 3 litres of oil daily, what per cent of oil in the 40 litre tank would be used in 10 days?
GIVEN❥
Sam used 40% of it and poured the rest into a 40 litre tank.
Sam used 3 litres of oil daily.
TO FIND❥
What per cent of the 40-litre tank was filled with oil ?
If Sam used 3 litres of oil daily, what per cent of oil in the 40 litre tank would be used in 10 days?
SOLUTION❥
Sam used 40% of total oil of 60-litre tank.
40% of 60 ltrs
= {\frac{40}{100}}×60
100
40
×60 ltrs
= 24 ltrs
Remaining oil
= (60-24) ltrs
= 36 ltrs
So, 36 ltrs of oil was poured in 40-litre tank.
So, let the percentage be x%.
x% of 40 = 36
➳ {\frac{x}{100}}
100
x
×40 = 36
➳ {\frac{40x}{100}}
100
40x
= 36
➳ 40x = 36 × 100
➳ 40x = 3600
➳ x = {\frac{3600}{40}}
40
3600
➳ x = 90
So, 90% of the 40 litre tank is filled with oil.
Sam uses 3 ltrs of oil per day.
Oil used in 10 days
= (3 × 10) ltrs
= 30 ltrs
Let the percentage be y%.
y% of 36 = 30
➳ {\frac{y}{100}}
100
y
×36 = 30
➳ {\frac{36y}{100}}
100
36y
= 30
➳ 36y = 30 × 100
➳ 36 = 3000
➳ y = {\frac{3000}{36}}
36
3000
➳ y = 83{\frac{1}{3}}
3
1
THEREFORE❥
90% of the 40-litre tank was filled with oil.
If Sam used 3 litres of oil daily, 83{\frac{1}{3}}
3
1
% of oil in the 40 litre tank would be used in 10 days.
{࿐}}}DONE࿐
✿HOPE THIS HELPS YOU✿