Quiz-1

cp of book=60
sp of book=70
profit=10
again cp=80
then loss =80-70=10

If she has x sons
each son has x-1 brothers.
Total no of grandchildren=x(x-1)
Total No OF Sons+Grandchildren= x+x(x-1)=x^2
=>Lucia\'s age is a perfect square between 50 and 70.
The only number that satisfies this condition is 64.

If you add the same mixture again,the ratio will still remain the same.
The question should be how much water to be added

In 10 litres, let quantity of milk = 2x and quantity of water = x
=> 2x + x = 10
=> x = 10/3 , 2x = 20/3

Let y litres of water be added to make the ratio 1:2
=> (20/3) / (10/3 + y) = 1 / 2
=> 40/3 = 10/3 + y
=> y = 10 liters

Therefore,10 liters of water to be added.

S.I = PTR/100
S.I =15000*9*2/100
S.I= 2700
C.I =P(1+r/100)^n -P
C.I= 12000(1+8/100)^2-12000
C.I=1996.8
total amount in 2 years
as interest = S.I +C.I
= 2700+1996.8
=4696.8

ssume that the Third Variety of Tea quantity is X.
Then (126*1+135*1+2*x)/(1+1+2)= 153
on solving
261 + 2x = 4x153
2x = 612-261
x=351/2
X= 175.50

Let the cost of 1 litre milk be Re. 1

Milk in 1 litre mix. in 1st can = 3 litre, C.P. of 1 litre mix. in 1st can Re. 3
4 4
Milk in 1 litre mix. in 2nd can = 1 litre, C.P. of 1 litre mix. in 2nd can Re. 1
2 2
Milk in 1 litre of final mix. = 5 litre, Mean price = Re. 5
8 8
By the rule of alligation, we have:

C.P. of 1 litre mixture in 1st can C.P. of 1 litre mixture in 2nd can
3
4
Mean Price
5
8
1
2
1
8
1
8
Ratio of two mixtures = 1 : 1 = 1 : 1.
8 8
So, quantity of mixture taken from each can = 1 x 12 = 6 litres

S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%.

C.P. of 1 kg of the mixture = Rs. 100 x 68.20 = Rs. 62.
110
By the rule of alligation, we have:

Cost of 1 kg tea of 1st kind.Cost of 1 kg tea of 2nd kind.
Rs. 60 Mean Price
Rs. 62 Rs. 65
3 2
Required ratio = 3 : 2

If x is earlier price, then

300/(x-5)- 300/x = 5
solving this , we get, x=20 or -15 out of which only 20 is acceptable.

let c.p of 1 mango Re 1.
then c.p of 18 mangoes= Rs 18
c.p of 20 mangoes Rs 20 = s.p of 18 mangoes
profit= s.p of 18 mangoes - c.p of 18 mangoes
=20 - 18
= 2
profit %= 2/18*100
=11.11 ans

Let us assume that the cost price of the article = Rs.100
Therefore, the merchant would have marked it to Rs.100 + 75% of Rs.100 = 100 + 75 = 175.

Now, if he sells it at no profit or loss, he sells it at the cost price.
i.e. he offers a discount of Rs.75 on his selling price of Rs.175

Therefore, his % discount =  = 42.85%