Question

*A tank contains 18,000 litres of water. If it decreases at the rate of 5% per day, what will be the quantity of water left in the tank after 2 days?*

1️⃣ 16245 lit.
2️⃣ 16345 lit.
3️⃣ 16445 lit.
4️⃣ 18245 lit.​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

A tank contains 18,000 litres of water. If it decreases at the rate of 5% per day, what will be the quantity of water left in the tank after 2 days

1. 16245 lit.

2. 16345 lit.

3. 16445 lit.

4. 18245 lit.

EVALUATION

Here it is given that a tank contains 18,000 litres of water.

So initial quantity of water = W = 18000 litres

Now it decreases at the rate of 5% per day,

So rate of decrease = r% = 5%

Now we have to find the quantity of water left in the tank after 2 days

$\displaystyle \: \sf{ = 18000 \times {\bigg( 1 - \frac{r}{100} \bigg)}^{n} } \: \: \: \: litres$

$\displaystyle \: \sf{ = 18000 \times {\bigg( 1 - \frac{5}{100} \bigg)}^{2} }\: \: \: litres$

$\displaystyle \: \sf{ = 18000 \times {\bigg( \frac{95}{100} \bigg)}^{2} }\: \: \: litres$

$\displaystyle \: \sf{ = 18000 \times {(0.95)}^{2} }\: \: \: litres$

$\displaystyle \: \sf{ = 18000 \times 0.9025}\: \: \: litres$

$\displaystyle \: \sf{ =16245}\: \: \: litres$

FINAL ANSWER

The correct option is 1. 16245 litres

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

A tank contains 18,000 litres of water. If it decreases at the rate of 5% per day, what will be the quantity of water left in the tank after 2 days

1. 16245 lit.

2. 16345 lit.

3. 16445 lit.

4. 18245 lit.

EVALUATION

Here it is given that a tank contains 18,000 litres of water.

So initial quantity of water = W = 18000 litres

Now it decreases at the rate of 5% per day,

So rate of decrease = r% = 5%

Now we have to find the quantity of water left in the tank after 2 days

= 18000 × ( 1 - r/100)}^n litres

=18000×(1 − 5/100)² litres

=18000×(95/100)² litres

=18000×(0.95)² litres

= 18000 × 0.9025 litres

=16245 litres

FINAL ANSWER

The correct option is 1. 16245 litres.