Question

Q3. On selling a watch for ₹11400, a shopkeeper loses 5℅ . For how much did he purchase it? Q4. Find the angles of a triangle which are in the ratio 4:3:2. Q5. One side of a triangle is produced and the exterior angle so formed is 120°. If the interior opposite angles be in the ratio of 3:5, find the measure of each angle of a triangle.​

Answer 1

external hard disk for a person and palak pasi

Answer 2

$\huge\colorbox{white}{ \colorbox{white}{\colorbox{white}{Question}}}$

$\Huge\sf\implies$ On selling a watch for ₹11400, a shopkeeper loses 5℅ . For how much did he purchase it?

$\bold{Solution}$ :

Let the cost price be x

Loss is 5% after selling it on price of Rs.11400

$\small\boxed\tt\color{black}{According\:to\: Question}$

$\tt \: x - \frac{5}{100} \:×\:x\:=\: 11400$

$\Huge\sf\implies$ $\tt \:x - \frac{5x}{100}\:=\:11400$

$\Huge\sf\implies$ $\tt \:x - \frac{x}{20}\:=\:11400$

$\Huge\sf\implies$ $\tt \: \frac{20-x}{20}\:=\:11400$

$\Huge\sf\implies$ $\tt \: \frac{19x}{20}\:=\:11400$

$\Huge\sf\implies$ $\tt \:x \:= \frac{11400×20}{19}$

$\Huge\sf\implies$ $\tt \:x \:= \frac{228000}{19}$

\$\Huge\sf\implies$ $\boxed{x\: = \:12000}$

Hence , CP of watch is 12000

Loss = ₹600

$\huge\colorbox{white}{ \colorbox{white}{\colorbox{white}{Question}}}$

Find the angles of a triangle which are in the ratio 4:3:2

Solution :

Angles of triangle are in ratio :

$\Huge\sf\implies$ 4 : 3 : 2

According to angle sum property sum of angles of triangle is 180°

Let,

• {Angle (1) be 4x
• Angle (2) be 3x
• Angle (3) be 2x

Therefore ,

$\Huge\sf\implies$ 4x + 3x + 2x = 180°

$\Huge\sf\implies$ 9x = 180°

$\Huge\sf\implies$ x = $\frac{180°}{9}$

$\Huge\sf\implies$ x = 20°

Therefore,

$\boxed{Angle\: (1) \: = \:4 \:× \:20° \:=\: 80°}$

$\boxed{Angle\: (2) \:= \:3\: × \:20°\: =\: 60°}$

$\boxed{Angle\: (3)\: = \:2 \:×\: 20 \:=\: 40°}$

Hence , angles of triangle are 80°, 60°, 40° respectively.

$\huge\colorbox{white}{ \colorbox{white}{\colorbox{white}{Question}}}$

One side of a triangle is produced and the exterior angle so formed is 120°. If the interior opposite angles be in the ratio of 3:5, find the measure of each angle of a triangle.

Solution :

One exterior angle is equals to sum of two interior angles .

Interior angles are in ratio of 3:5

Exterior angle formed is 120°

Therefore,

$\Huge\sf\implies$ 3x + 5x = 120°

$\Huge\sf\implies$ 8x = 120°

$\Huge\sf\implies$ x = $\frac{120}{8}$

$\Huge\sf\implies$ 15°

Therefore,

$\boxed{Angle\: (1)\: = \:3 \:×\: 15 \:=\: 45°}$

$\boxed{Angle\: (2)\: =\: 5 \:× \:15\: = \:60°}$

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$\boxed{Review\:Answers}$

(1) Loss is of ₹600 and CP is 12000

(2) Angle (1) = 80°

Angle (2) = 60°

Angle (3) = 40°

(3) Angle (1) = 45°

Angle (2) = 60°

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