The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs. 5000 ?

Correct Answer: 12

Explanation:

Given ratio = 7 : 5 : 3 : 4, Sum of ratio terms = 19.

Smallest part =  (76*3/19)  = 12

Correct Answer: (x -y) / ( x + y)

Explanation:

Let the third proportional to  x 2 - y 2 and  x - y be z. Then, 

 

x 2 - y 2 : x - y : : x - y : z  

 

= > x 2 - y 2 * z = x - y 2  

 

=> z= x - y 2 x 2 - y 2 = x - y x + y

Correct Answer: 3,67,500

Explanation:

Let the total population be 'p'

Given ratio of male and female in a city is 7 : 8

In that percentage of children among male and female is 25% and 20%

=> Adults male and female % = 75% & 80%

But given adult females is = 156800

=> 80%(8p/15) = 156800

=> 80 x 8p/15 x 100 = 156800

=> p = 156800 x 15 x 100/80 x 8

=> p = 367500

Therefore, the total population of the city = p = 367500

Correct Answer: A=3000, B=2000, C=1500

Explanation:

A's spending 90% therefore saving = 10% B's spending 75% therefore saving = 25% C's spending 60% therefore saving = 40% Let us suppose A, B and C saves Rs. 3, 5 and 6 respectively. 10% of A's saving = Rs. 3 100% of A's saving = (3/10)*100 = Rs. 30 25% of B's saving = Rs. 5 100% of B's saving = (5/25)*100 = Rs. 20 40% of C's saving = Rs.6 100% of C's saving = (6/40)*100 = Rs. 15 Divide Rs. 6500 in the ratio of 30 : 20 : 15 A's Share = (30/65)*6500 = Rs. 3000 B's Share = (20/65)*6500 = Rs. 2000 C's Share = (15/65)*6500 = Rs. 1500

Correct Answer: 81

Explanation:

f C is the third proportional to A and B, then A/B = B/C If x is the third proportional to 16 and 36, then 16/36 = 36/x => 4/9 = 36/x => x = 36 * 9/4 => x = 9 * 9 => x = 81

Correct Answer: 30

Explanation:

$$\begin{gathered} 3 \\ 3 2 + 3 = 12 \\ 5 \\ 5 2 + 5 = 30 \end{gathered}$$

Correct Answer: Rs. 1600

Explanation:

Let the salaries of Maneela and Shanthi one year before be M1, S1 & now be M2, S2 respectively.

Then, from the given data,

M1/S1 = 3/4  .....(1)

M1/M2 = 4/5 .....(2)

S1/S2 = 2/3  .....(3)

and M2 + S2 = 4160  .....(4)

 

Solving all these eqtns, we get M2 = Rs. 1600.

Correct Answer: 30

Correct Answer: 3:4

Explanation:

m + n m - n = 7 x x ? m n = 4 x 3 x  

 

Again    m n = 12 x 2 

 

and         mn =60x  

 

so,  60 x = 12 x 2 ? x = 5    

 

=>  m= 20  and    n= 15

 

Hence,     1 m : 1 n = 1 20 : 1 15 = 3 : 4

Correct Answer: 48

Explanation:

If you double the sides of a cube, the ratio of the surface areas of the old and new cubes will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8.

Weight is proportional to volume. So, If the first weighs 6 pounds, the second weighs 6x8 pounds =48.