Question
A batch of bottles were packed in $2 5$ boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?
✓
Answer
Let the number of boxes filled be $x$.
Then, we have the following table
Here, more the number of bottles in a box, lesser the number of boxes. Therefore, it is a case of inverse proportion.
So, $12 \times 25=20 \times x$
$
\Rightarrow \quad x=\frac{12 \times 25}{20}=\frac{12 \times 5}{4}
$
[dividing numerator and denominator by 5 ]
$
\therefore \quad x=15
$
Hence, 15 bores wornid be filled, if the same hatch is packed using 20 bottles in each box
Then, we have the following table
| Number of bottles in a box | 12 | 20 |
| Number of boxes | 25 | x |
So, $12 \times 25=20 \times x$
$
\Rightarrow \quad x=\frac{12 \times 25}{20}=\frac{12 \times 5}{4}
$
[dividing numerator and denominator by 5 ]
$
\therefore \quad x=15
$
Hence, 15 bores wornid be filled, if the same hatch is packed using 20 bottles in each box
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the following product:$\left(9 x^2-x+15\right) \times\left(x^2-x-1\right)$
→A regular hexagon $P Q R S T U$ with dimensions is given below. Find the area of hexagon.
→The table shows the cost of sunscreen of two brands with and without sales tax :
Which brand has a greater sales tax rate ? Give the sales tax rate of each brand.
| Brands | Cost (in ₹) | Cost + Tax (in ₹) | |
| 1. | X (100 g) | 70 | 75 |
| 2. | Y (100 g) | 62 | 65 |
The adjacent figure $HOPE$ is a parallelogram. Find the angle measures $x, y$ and $z.$ State the properties you use to find them.
→If $x^2+ y^2= 29$ and $xy = 2,$ find the value of $x^4+ y^4$
→Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table.
.
Calculate the angle between a pair of consecutive spokes on a wheel with $15$ spokes?
→.
| Numbers of spokes | $4$ | $6$ | $8$ | $10$ | $12$ |
| Angle between a pair of consecutive spokes | $90^\circ $ | $60^\circ $ | – | – | – |
A rectangular sheet of paper $30\ cm × 18\ cm$ can be transformed into the curved surface of a right circular cylinder in two ways i.e., either by rolling the paper along its length or by rolling it along its breadth. Find the ratio of the volumes of the two cylinders thus formed.
→Pipes $A$ and $B$ can fill an empty tank in $10$ hours and $15$ hours respectively. If both are opened together in the empty tank, how much time will they take to fill it completely?
→Simplify: $\Big(\frac{3}{11}\times\frac{5}{6}\Big)-\Big(\frac{9}{12}\times\frac{4}{3}\Big)+\Big(\frac{5}{13}\times\frac{6}{15}\Big)$
→By using the formula, find the amount and compound interest on. $Rs. 6000$ for $2$ years at $9\%$ per annum compounded annually.
→