Relation for Direct Proportion

Q.

Find the cost of $8kg$ of rice, if the cost of $10kg$ is $Rs.325$.

Q. The only number which is neither positive nor negative is ___. (in words)

Q. Solve the following.
If 20 metres of cloth cost ₹ 3600, find the cost of 16 m of cloth.

Q. To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?

Q.

Lin runs $5$ laps around a track in $6$ minutes. If Lin runs $21$ laps at the same rate, how long will it take her?

Q. Ayesha bought 1.80 m of cloth for her salwaar and 2.25 m for her kurta. If the cloth costs 120 rupees per metre, how much must she pay the shopkeeper?

Q. A jug can hold 4 L of milk. A glass can hold 400 mL of milk. The ratio of capacities of glass to that of a jug is

1. 1:5
2. 1:10
3. 1:8

Q. Find the diagonal of a square whose side is $10cm$

Q.

If the wages of 12 workers for 5 days are Rs. 7500, find the wages of 17 workers for 6 days.

1. 10943

2. Rs. 13473

3. Rs. 11057

4. Rs. 12750

Q.

A bottle filling machine can fill 238 bottles in 2hrs. In 7hrs, it can fill ___ bottles.

Q. Ratio is a method of comparing two quantities by ____________.

1. Addition
2. Subtraction
3. Division
4. Multiplication

Q. Cost of $50$ pencils is $Rs.75$. How many pencils can be purchased for $Rs.150$?

Q. To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?

Q. Fill in the blanks-
If the cost of 3 pens is Rs.18, then the cost of 5 pens is __________.

Q. $30$ times of $A^{\prime }s$ salary is same as $20$ times of $\frac{3}{5}th$ of $B^{\prime }s$ salary. If $B^{\prime }s$ salary is $Rs2400$, what is $A^{\prime }s$ salary?

Q. A piece of string is $30cm$ long. What will be the length of each side if the string is used to form :
(a) a square ?
(b) an equilateral triangles ?
(c) a regular hexagon ?

Q.

$\begin{array}{cccccc}\text{Quantity(In Kg)/Price}& 1& 2& 3& 4& 5\\ \text{Gummy bear}& 20& 40& 60& 80& 100\\ \text{Candies}& 30& 60& 90& 120& 150\\ \text{Chocolates}& 50& 100& 150& 200& 250\end{array}$

According to the information given what is the total price of 6 kg of all the items?

1. 550

2. 600

3. 500

4. 650

Q. A truck runs $420Km$ in $20litre$ of diesel. How much distance it will cover in $17litre$?

Q. The weight of $26$ packet of sugar is $55$ kg $90$ g. Find the weight of each packet.

Q. A truck covers a distance of $550$ metres in $1$ minute whereas a bus covers a distance of $33$ km in $45$ minutes. What is the ratio of their speeds?

1. $3:4$
2. $2:7$
   
3. $3:8$
   
4. $5:8$
   

Q. Observe the relation between the number of teachers and students and complete the table.

1. s = 66
2. t = 3
3. s = 110
4. t = 7
5. t = 5
6. s = 154

Q. How many pieces of $19.5$ metres can be cut from a cloth of $546$ metres ?

1. $28$
2. none of these
3. $25$
4. $26$

Q. Alex excersice for $4\frac{1}{3}$ hours daily by running and doing yoga. He devotes $2\frac{3}{5}$ hours of his time for yoga. How much time does he devote for running?

1. $1\frac{1}{15}$
2. $3\frac{11}{15}$
3. $2\frac{11}{15}$
4. $1\frac{11}{15}$

Q. $\frac{3.86}{x}+\frac{180.2}{10x}+\frac{42.2}{5x}$
The Ironman Triathlon originated in Hawaii in 1978. The format of the Ironman has not changed since then: It consists of a $3.86-km$ swim, a $180.2-km$ bicycle ride and a $42.4-km$, all raced in that order and without a break. Suppose an athlete bikes $10$ times as fast as he swims and runs $5$ times as fast as he swims. The variable $x$ in the expression above represents the rate at which the athlete swims, and the whole expression represents the number of hours that it takes him to complete the race. If it takes him $16.2$ hours to complete the race, how many kilometers did he swim in $1$ hour?

1. $1.01$
2. $1.17$
3. $1.87$
4. $0.85$

Q. A person $A$ sells a table costing Rs. $2000$ to a person $B$ and earns a profit of $6\%$. The person $B$ sells it to another person $C$ at a loss of $5\%$. At what price did $B$ sell the table?

1. Rs. $2054$
2. Rs. $2050$
3. Rs. $2024$
4. Rs. $2014$

Q. A cloth merchant says that due to slump in the market, he sells the cloth at 10% loss, but he uses a false metre scale and actually gain 20%. Find the actual length of the scale.

1. 75 cm
2. 70 cm
3. 80 cm
4. 60 m

Q. Fill in the blanks in each of the following:
C.P. = Rs ...., S.P = Rs 450, Profit = Rs 150

Q. Observe the relation between the number of teachers and students and complete the table.

1. t = 3
2. t = 7
3. s = 66
4. s = 154
5. s = 110
6. t = 5

Q. I have three brother-in-laws.

1. brothers-in-laws
2. brothers-in-law
3. brother-in-law
4. NO CHANGE

Q.

Write the following decimal in the place value table:

200.812