The price of petrol increased by 8% to Rs 540 per litre. Find the old price.

The original price is Rs. 50

Step-by-step explanation:

Let the original price be Rs.x

x+8% of x=54

x+(8/100)*x=54

x+8x/100=54

(100x+8x)/100=54

108x/100=54

x=54* 100/108

x=50.

The original price is Rs. 50

Step-by-step explanation:

Let the initial price be x.

We have:

Rewrite it as below and solve for x:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°