The ratio of male and female in a city is 7 : 8 respectively and percentage of children among male and female is 25 and 20 respectively. If number of adult females is 156800, what is the total population of the city?

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: 2:1

Explanation:

Let,   B1 : B2 : B3 = 3x : 4x : 5x 

 

again  B1 : B2 : B3 = 5y : 4y : 3y

 

Since there is increase in no.of oranges in first two baskets only, it means the no. of oranges remains constant in the third basket

 

Therefore,   5x = 3y

 

Hence    3x : 4x : 5x   =>    9 y 5 : 12 y 5 : 15 y 5 = 9y:12y:15y

 

and       5y : 4y : 3y   =>   25x : 20x : 15x

 

Therfore, increment in first basket = 16

 

Increment in second basket = 8

 

Thus, required ratio = 16/8 = 2:1

Correct Answer: 36% and 44%

Explanation:

Assume the weight of alloy a is 100 kg 

Therefore, The weight of alloy B is 400kg

 

             Gold          silver         copper

 

    A       40kg          60kg          0kg

 

    B      140kg         160kg        100kg

 

  total    180kg          220kg        100kg

 

Therefore, Ratio of gold and silver in new alloy =  180 500 : 200 500= 36% :44%

Correct Answer: 3:2

Explanation:

Concentration of petrol in    A        B        C

                                                1/2      3/5     4/5

Quantity of petrol taken from A = 1 litre out of 2 litre

Quantity of petrol taken from B = 1.8litre out of 3 litre

Quantity of petrol taken from C = 0.8 litre out of 1 litre

Therefore, total petrol taken out from A, B and C = 1+1.8+0.8 =3.6 litres

So, the quantity of kerosen =(2+3+1) - 3.6 =2.4 litre

Thus, the ratio of petrol to kerosene = 3.6/2.4 = 3/2

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: 12

Explanation:

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

Smallest part =  (76*3/19)  = 12

Correct Answer: Rs. 6000

Explanation:

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 ?
Ratio of increase of wages = 22:25
Ratio of decrease of labourers = 15:11
Compound ratio of wages of labourers = 22 x 15 : 25 x 11 = 330:275
Final bill = Rs. 5000
For 275 ratio wages = Rs. 5000
For 1 ratio wages = 5000/275
For 330 ratio wages = 5000/275 x 330 = Rs. 6000

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.