Let he travelled t hrs on foot.

Distance = Speed × Time

8 × t + 16 (8 – t) = 88

128 – 88 = 8t

8t = 40

T = 5 hrs

He travelled (8 – 5) = 3 hrs on bicycle

So distance travelled by bicycle = 3 x16 =48km

(-5.5) (- 5.5) ÷ (- 5.5 + 0.5) + 0.05

= 30.25 ÷ (-5) + 0.05

= - 6.05 + .05

= - 6

 10 %CP – 8% of CP = 3

 2% CP = 3

2/100 CP = 3

CP = 150

So SP at 8 % Profit = 108 ×150/100 = Rs.162

Unit digit = 1 × 2 + 1 – 5 +1

 = 2 + 1 + 1 - 5 = 4 – 5 = - 1

It cannot be negative take a borrow and subtract

10 – 1 = 9

HCF is 14

So number is 14 m, 14 n

Smallest value will be

14 × 2, 14 × 3

28, 42

As both numbers are greater than 14

And m > n

So m = 42 n = 28

(3x –y)/(x+3y) = ½

=> 6x – 2y = x + 3y

=> 5x = 5y

=>    x/y = 1

(4x –y) / (4x+y)

= y [4(x/y) – 1] /y [4(x/y) + 1]

= (4 – 1)/ (4 + 1)

= 3/5

8 Men = 24 Children → 33 days

1 Men = 3 Children → 33 days

12 Men + 36 children → ?

24 children can complete the work in 33 days

(12 × 3) C + 36 C = 72 children

24 children → 33 days

72 Children → ?

(24 × 33)/ 72 = 11 days

∴ Three times of the work can be completed in 33 days

Actual Ratio = ½ : 1/3 : ¼ = 6 : 4 : 3

Amount received by Mohan = 3/13 × 234 = 54

By mistake Ratio of Ram : Shyam : Mohan =  2: 3 : 4

Amount received by Mohan by mistake =4/9 x 234 =104

Excess amount  received by him = 104 – 54 =50

Let be the old average is x kg

When a student get replaced by a new one

(6x – 35+ Age of new student)/6   = x+ 1.5

6x – 35 + Age of new student = 6x + 9.0

Age of new student =35 + 9 = 44 kg

4 meter cloth CP = 60

1 meter cloth rate = 60 /4 = 15

C. P of 10 meter cloth = 150