# Direct Proportion

## Trending Questions

**Q.**

Half of a herd of deer are grazing in the field and three-fourths of the remaining are playing nearby. The rest $9$ are drinking water from the pond. Find the number of deer in the herd.

**Q.**

At a cricket test match $\frac{2}{7}$ of the spectators were in a covered place while $15000$ were in open. Find the total number of spectators

**Q.**

Rajesh commutes daily by traveling $\frac{4}{5}$ of the distance between his home and office by metro train, $\frac{3}{20}$ by auto and remaining $1km$ on foot. What is the distance between his home and office?

**Q.**

A contractor undertook to build a road in 200 days. He employed 140 men. After 60 days, he found that only one-fourth of the road could be built. How many additional men should he employ to complete the work in time?

- 40
- 60
- 80
- None of these

**Q.**

A rope of length 71 1\2 m is cut into 26 pieces. What is the length of each piece

**Q.**

Work hard and you will succeed [begin; unless]

**Q.**Simple interest on a sum is 9/16 of the sum.

Find the rate per cent and the time if both are numerically equal.

**Q.**

A glass contains 14 liter of milk. How many glasses of milk is required to fill a bucket of 102 liters ?

[4 MARKS]

**Q.**

11 men can dig 634 m long trench in one day. How many men should be employed for digging 27 m long trench of the same type in one day ?

**Q.**

In a hostel, 75 students had food provision for 24 days. If 15 students leave the hostel, for how many days would the food provision last ?

**Q.**

Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.

**Q.**

State whether the given statement is true or false:

Ratio means comparing two quantities.

True

False

**Q.**

A woman has twice as many dimes as quarters in her purse. If the dimes were quarters and the quarters were dimes, she would have$\$1.20$ more than she now has. How many of each does she have now?

**Q.**

6 cows can graze a field in 28 days. How long would 14 cows take to graze the same field ?

**Q.**

How many days are there in $x$ weeks $x$ days?

**Q.**

An auto-rickshaw takes $3$ hours to cover a distance of $36km$. If its speed is increased by $4km/h$, the time taken by it to cover the same distance is __________.

**Q.**

If two ratios are equal, then we say that they are

**Q.**Find the percent of pure gold in 22 - carat gold, if 24 carat gold is hundred percent pure gold.[2 MARKS]

**Q.**

Question 19

When two quantities x and y are in

**Q.**

Cost of $1$ doll is $63.50Rs$. Find the cost of $87$ such dolls .

**Q.**A train is travelling at a speed of 120 km/h. How much distance will it cover in 40 minutes?

- 60 km
- 100 km
- 120 km
- 80 km

**Q.**

If 8 oranges cost Rs. 10.40, how many oranges can be bought for Rs. 33.80 ?

(a) 13 (b) 18 (c) 26 (d) 24

**Q.**

7 taps of the same size fill a tank in 1 hour 36 minutes. How long will 8 taps of the same size take to fill the tank ?

**Q.**If the cost of 1 kg of sugar is ₹ 36, then what would be the cost of 3 kg sugar?

[2 marks]

**Q.**

$X$ and $Y$ invest $\mathrm{Rs}.21000$ and $\mathrm{Rs}.17500$ respectively in a business. At the end of the year, they make a profit of $\mathrm{Rs}.26400$. What is the share of $X$ in the profit?

**Q.**

**The denominator of a fraction is 1 more than its numerator. The sum of the fraction and its reciprocal is **$\frac{5}{2}$**. Find the fraction. **

**Q.**

$100$ persons had food provision for $24$days. If $20$persons left the place , the provision will last for

$30$ days

$\frac{96}{5}$ days

$120$days

$40$ days.

**Q.**If 24 newspapers weigh 576 grams, then how many newspapers will weigh 2.88 kilograms?

- 150
- 120
- 124
- 145

**Q.**

$\frac{1}{4}$ of the passengers of a train are children, $\frac{2}{5}$ of the passengers are males and the rest are females. If the the number of females travelling in the train is$420$, find the total number of passengers in the train.

**Q.**

If 12 inches correspond to 30.48 centimeters, then how many centimeters are there in thirty inches? [1 MARK]