Ajay who is a King, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth1,30,900 kilograms of gold, find the quantity of gold King Ajay was having initially?

Correct Answer: decrease 12%

Explanation:

Given the price of a commodity is decreased by  p = 20%

And its consumption is increased by q = 10%

Now, required increase or decrease in the expenditure on the commodity can be 

p + q + pq/100 = -20 + 10 - 200/100 = -10 - 2 = -12%.

 

Hence, decrease in the expenditure = 12%

 

Correct Answer: 606

Explanation:

56% of 870 = 56x870/100 = 487.20

82% of 180 = 82x180/100 = 147.60

32% of 90 = 32x90/100

487.20 + 147.6 - 28.8  =  ?

? = 634.8  - 28.8

? = 606.

Correct Answer: 45

Explanation:

Let 36 is p% of 80

=> p x 80/100 = 36

=> p = 36 x 10/8 = 45.

Correct Answer: Rs. 66512

Explanation:

The discount offered by showroom = 18%

Raghu purchased at Rs. 54540

Then,

The marked price is given by 

54540 x 100/82

=~ Rs. 66,512

Correct Answer: 812.5

Explanation:

$$\begin{gathered} Given 3 . 2 % of 500 × 2 . 4 % of ? = 312 \\ Then , \\ 3 . 2 x 500 100 x 2 . 4 x ? 100 = 312 \\ 16 x 2 . 4 x ? 100 = 312 \\ 9 . 6 x ? 25 = 312 \\ 9 . 6 x ? = 7800 \\ ? = 7800 9 . 6 \\ ? = 812 . 5 \end{gathered}$$

Correct Answer: 92.8%

Explanation:

Here, x = 40 and y = 30;
Therefore second number
= [[ 100 + y 100 + x] x 100 ]% of first number
= [[ 100 + y 100 + x] x 100 ]% of first number
Second number = 92.8% of the first number.

Correct Answer: Rs.12,000

Explanation:

We have P = 8748, R = -10 and n = 3
Therefore, the purchase price of the machine
= P 1 + R 100 n= 8748 1 - 10 100 3
= 8748 x (100/90) x (100/90) x (100/90)
= 12,000.

 

Therefore, the purchase price of the machine was Rs. 12,000.

Correct Answer: 8000

Explanation:

Let the amount collected be 'A'
Then, from the given conditions,
A x 110/100 x 90/100 = 7920
A x 0.99 = 7920
A = 7920/0.99
=> 8000

Correct Answer: 2834

Explanation:

Let the total number of votes polled in the election be 100k.
Number of valid votes = 100k - 20% (100k) = 80k
Let the number of votes polled in favour of K and L be a and b respectively.
a - b = 15% (100k) => a = b + 15k
=> a + b = b + 15k + b
Now, 2b + 15k = 80k and hence b = 32.5k
It is given that 100k = 8720
32.5k = 32.5k/100k x 8720 = 2834

The number of valid votes polled in favour of L is 2834.

Correct Answer: 35

Explanation:

what is 70 of 50 means 70% of 50

 

$$\begin{gathered} ? 70 x 50 100 \\ = 7 x 5 \\ = 35 \end{gathered}$$

 

Hence, 70 of 50 is 35.