Question

Q1. Answer the following (6)

1) If x:8 = 8:4 , find the value of x

2) Convert

12

15

in to percentage

3) Find the reduced form of

144

1200

4) Sum of two numbers is 27. And difference is 3. Find the numbers.

5)

5

4

= 20 .Find the value of x

6) Check whether 9,15,25 are in continued proportion or not .

Q2. Solve the following (10)

1) Solve 4x+3y =18 ; 3x-2y =5

2) If ( x+5 ) : ( x+7 ) = ( x-1 ): ( x+2) Find the value of x

3) The ratio of length and breadth of a rectangle is 4:5 and its perimeter is 72cm.Find the

length and breadth of the rectangle .

4) If





=

5

2

, find the value of

6+5

6−5



5) Compare the pair of ratios

2√3

5√7

,

√28

√75



Q3. Answer the following any three questions………………………. (9)

1) √+13+√−1

√+13−√−1

= 3

2) Sum of the digits of a two digit number is 12.The number obtained by interchanging the

digits exceeds the original number by 36. Find the two digit number.

3) Ratio of incomes of Ram and Shyam is 8:9.Ratio of their expenses is 9:11.If each one saves

₹ 28000, find their incomes.

4) If



+−

=



+−

=



+−

Then prove that



+

=



+

=



+​

Answer 1

1. $x$:8 = 8:4

Product of mean = Product of extreme

8 x 8 = $x$ x 4

64 = $x$ x 4

$x$ = ⁶⁴⁄₄

$x$ = 4

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2. For ¹²⁄₁₅:

¹²⁄₁₅ x 100 = 80%

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3. Simplifying:

¹⁴⁴⁄₁₂₀₀ = ³⁄₂₅

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4. Let the 2 numbers be $x$ and $y$.

$x + y = 27\\x - y = 3$

2$x$ = 30      Since +y and -y get cancelled.

$x$ = ³⁰⁄₂

$x = 15$

and for y, we know x = 15

$x - y = 3$

15 - $y$ = 3

$y$ = 15 - 3

$y = 12$

Thus the numbers are 15 and 12

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5. Question is incomplete.

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6. 9:15::25:1

Product of mean -= Product of extreme

15 x 25 ≠ 9 x 1

Thus this is not in CONTINUED PROPORTION

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i dont have time for solving Q2