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When a torch was sold for 300 rupees there was 25% profit. What was its total cost? Had it been sold for 216 rupees, would there have been a profit or a loss? What percent?

1. 15

Shikha deposits ₹2000 in a bank that pays 6% simple interest. She withdrew ₹700 at the end of first year. What will be her balance after 3 years ?

Please solve

To find the time to travel a distance.

Find the time taken to travel a distance of 150 km and the speed is 30m/sec.

Question 4
In $\Delta ABC,\angle A={30}^{\circ },\angle B={40}^{\circ }and\angle C={110}^{\circ }$
In $\Delta PQR,\angle P={30}^{\circ },\angle Q={40}^{\circ }and\angle R={110}^{\circ }$
A student says that $\Delta ABC\cong \Delta PQR$ by AAA congruence criterion. Is he justified? Why or why not?

Find the value of ab, when $a-b=3$ and $a^2+b^2=15.$

Question 83(iii)
Observe the following data:
$\begin{array}{ccc}& & \\ & \text{Government School, Chandpur}& \\ \text{Daily attendance}& & \text{Date: 15.04.2009}\\ \text{Class}& \text{Total students}& \text{Number of students}\\ & & \text{present on that day}\\ \text{VI}& \text{90}& \text{81}\\ \text{VII}& \text{82}& \text{76}\\ \text{VIII}& \text{95}& \text{91}\\ \text{IX}& \text{70}& \text{65}\\ \text{X}& \text{63}& \text{62}\end{array}$
In which class, the difference of total students and number of students present is minimum?

The measurements of the figure given below are in centimetres.



Find its area?

∠ NML = ∠ GFH

ML = FG

So, ΔLMN ≅ ΔGFH

(ii) Given: EB = DB

AE = BC

∠ A = ∠ C = 90°

So, ΔABE ≅ ΔCDB
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The following tree diagram can be represented by:

Using the figure given below, pair the cards with the angles and its respective opposite sides.

The area of a rectangle having length 'l' and breadth 'b' is equal to 'A'.Then area of rectangle having length 2l and breadth 2b will be equal to

Ravi purchased an old scooter for Rs.12000 and spent Rs.2850 on its overhauling. Then he sold it to his friend for Rs 13860.How much percent did he gain or lose?
[3 MARKS]

Solve the following problems.

An Indira Vikasa Patra of Rs. 500 doubles itself in 5 years. What is the rate of interest allowed?

In the given figure(not drawn on scale), $AB$ and $CD$ are straight lines. Find $\angle y$.

Statement 1: The area of a quarter circle is one-fourth of that of a circle with same radius.

Statement 2: The circumference of a quarter circle is one-fourth of that of a circle with same radius.

Two boats have speeds on still water as 5 m/s and 4 m/s. They are moving towards each other on a river which moves at 2 m/s. The fast boat is moving against the river current. Initially, they are 180 m apart. Find the time taken for them to meet. Please ignore the lengths of the boats.

The weight of a bicycle is 8 kg and 650 g. What is the weight of the bicycle in g?

The runs of Sachin, Sehwag, Dravid and Dhoni are in proportion. Find the Sehwag's runs if runs scored by Sachin, Dravid and Dhoni are $24,28,42$ respectively.

Evaluate each of the following:

$\left(a\right)(-30)÷10$

$\left(b\right)50÷(-5)$

$\left(c\right)(-36)÷(-9)$

$\left(d\right)(-49)÷49$

$\left(e\right)13÷[-2+1]$

$\left(f\right)0÷(-12)$

$\left(g\right)(-31)÷\left[\right(-30)+(-1\left)\right]$

$\left(h\right)\left[\right(-36)÷12]÷3$

$\left(i\right)[-6+5]÷[-2+1]$

If the ratio of capacities of 3 water tanks is 3: 5: 7 and the largest of them can hold 3500 litres of water, then what is the total volume of water that can be held by all the three tanks together?

Find the value of

(a) 5²

(b) 3⁴

What was the rate of items in the shop in the mall that Sujata and Kavita went to?

The angles $\angle 1,\angle 2,\angle 3,\angle 4$ are in the ratio 1 : 2: 3: 4. What is the measure of the largest angle?

Any pair of supplementary angles add up to _____

Step 1: $3x+2=17$

Step 2: $3x=17-2$

This process of shifting the number from one side of the equation to the other side is called as ___.

Question 14

In the following question out of the four options only one is correct, write the correct answer.

Arpita's present age is thrice of shilpa. If Shilpa's age three years ago was x, then Arpita's present age is:

(a) 3(x – 3)

(b) 3x + 3

(c)3x – 9

(d) 3(x + 3)

What is the coefficient of the term $7xy$?

The product of two numbers is 9126. If HCF of the numbers is 39, find the larger numbers.

If $\Delta ABC\cong \Delta RQP$ , then $\angle P$ = _____ .

How many families have $2$ children?