$\frac{125}{625}$=$\frac{1}{5}$   [Divide both numerator and denominator by 125]

Number of shaded parts = 1

Total number of equal parts = 4

Therefore, Ratio  of the area of the  shaded part to area of number of equal parts 

$\frac{\text{Area of the Shaded Part}}{\text{Area of the Circle}}=\frac{1}{4}$.

With 1 litre of petrol, distance travelled by car = $\frac{100}{50}$ = 2 km

Therefore, with 30 litres of petrol, it can travel 30 × 2 = 60 km.

Simple Interest = $\frac{PRT}{100}$

Principal, P = 5000

Rate of Interest, R = 15

Time, T = 1

Simple Interest = $\frac{5000\times 15\times 1}{100}$ = Rs 750

Amount to be paid = 5000 + 750 = Rs. 5750

0.2x = 100

⇒ x = $\frac{100}{0.2}$ = $\frac{1000}{2}$ = 500
 

Expressing height of Raman to height of his younger brother as ratio, we have 

$\frac{\text{Height of Raman}}{\text{Height of his younger brother}}=\frac{150}{125}=\frac{6}{5}$

Ram can run 3 times faster than Rahul

Rahul's speed = 5 km/hr

So Ram's speed = 3 × 5 = 15km/hr

Loss = 10% of 120
$=\frac{10}{100}\times 120$
= ₹ 12

Selling Price = C.P - Loss

Selling Price = 120 - 12 = ₹ 108

Total number of cups of ingredients = 6

Number of cups of flour = 3

Therefore, percentage of flour used in cake = $\frac{3}{6}$ × 100 = 50%

Expressing $\frac{12}{16}$  as a percentage , we have  

$\frac{12}{16}\times 100$=75%

Hence his answer is true.