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21 Jan 2025, 01:30
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Difficulty:
65%
(hard)
Question Stats:
65% (02:42) correct
35%
(03:07)
wrong
based on 219
sessions
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Roma was watering her garden with the help of a watering can. On the first plant, she poured 15% of the water from the can. While watering the second plant she poured 25% of water that was left in the can and on the third plant she poured 30 % of the remaining water. The water left inside the can is what percent of the water that was left just before watering the second plant?
A. 37.500%
B. 44.625%
C. 47.500%
D. 52.500%
E. 62.500%
A. 37.500%
B. 44.625%
C. 47.500%
D. 52.500%
E. 62.500%
21 Jan 2025, 07:09
Kudos
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Roma was watering her garden with the help of a watering can. On the first plant, she poured 15% of the water from the can. While watering the second plant she poured 25% of water that was left in the can and on the third plant she poured 30 % of the remaining water. The water left inside the can is what percent of the water that was left just before watering the second plant?
Let the initial amount of water be 100 units.
Hence on 1st plant she poured 15% water, we are left with 85% water i.e 85 units.
On 2nd plant she poured 25% of remaining water, hence we are left with 75% or \(\frac{3}{4}* 85\) of water.
On third plant she pored 30% of remaining water, hence we are left with \(\frac{3}{4}*\frac{7}{10}*\)85 of water.
Therefore, the percentage required: \(\frac{3}{4} * \frac{7}{10} *85*\frac{100}{85} \) =44.625%
IMO Ans B
Let the initial amount of water be 100 units.
Hence on 1st plant she poured 15% water, we are left with 85% water i.e 85 units.
On 2nd plant she poured 25% of remaining water, hence we are left with 75% or \(\frac{3}{4}* 85\) of water.
On third plant she pored 30% of remaining water, hence we are left with \(\frac{3}{4}*\frac{7}{10}*\)85 of water.
Therefore, the percentage required: \(\frac{3}{4} * \frac{7}{10} *85*\frac{100}{85} \) =44.625%
IMO Ans B
21 Jan 2025, 07:17
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Let the initial water in the can be 100 units.
1. After the first plant:
15% of 100 = 15 units poured.
Water left = 100 - 15 = 85 units.
2. After the second plant:
25% of 85 = 21.25 units poured.
Water left = 85 - 21.25 = 63.75 units.
3. After the third plant:
30% of 63.75 = 19.125 units poured.
Water left = 63.75 - 19.125 = 44.625 units.
Now, find what percent 44.625 is of 63.75:
Percentage = (44.625 / 63.75) × 100 = 70%
Answer: B. 44.625%
1. After the first plant:
15% of 100 = 15 units poured.
Water left = 100 - 15 = 85 units.
2. After the second plant:
25% of 85 = 21.25 units poured.
Water left = 85 - 21.25 = 63.75 units.
3. After the third plant:
30% of 63.75 = 19.125 units poured.
Water left = 63.75 - 19.125 = 44.625 units.
Now, find what percent 44.625 is of 63.75:
Percentage = (44.625 / 63.75) × 100 = 70%
Answer: B. 44.625%
