HCL Interest,Mixture and Allegation Quiz-1

Interest = PRT/100 = (20,000 x 5 x 3)/100 = 3000

SI = (7000 x 4 x 5)/100 = 1400

Total amount = 7000 + 1400 = 8400

Let, the amount be ‘P’

So, the interest he needed to pay = (P x 2 x 4)/100

Now, (P x 2 x 4)/100 = 640

=>P = (640 x 100)/8 = 8000

For 4 years, the interest is = 4200 - 4000 = 200

So, the interest on rs 5000 for 4 years at R% interest = 200

=>\frac{(5000\times R\times 4)}{100} = 200

=>R = \frac{(200 x 100)}{(5000 x 4)} = 1%

The interest amount is = 700 - 500 = 200

Let, the years = T

So, (500 x 10 x T)/100 = 200

=>50T = 200

=>T = 200/50 = 4

SI for 400rs in 3 years = (400 x 5 x 3)/100 = 60 rs.

So, the total amount will be = 400 + 60 = 460 rs.

Now, the excess amount = 600 - 460 = 140 rs.

The amount of milk = (3/7) x 700 = 300 lit

After removing milk, the remaining amount of milk = 300 - 120 = 180 lit.

Let, the amount of sugar = 4a

The amount of water = 5a

After adding 10 lit of water, the amount of water = 5a + 10

So, 4a/(5a+10) = 2/3

=>12a = 10a + 20

=>2a = 20

=>a = 20/2 = 10

Amount of sugar = 4a = 4 x 10 = 40.

As, 5 lit of water is taken out, 5 lit of Soda is added.

So, amount of water = 20-5 = 15 lit

Amount of Soda = 5 lit

Now, Water : Soda = 15 : 5 = 3:1

Amount of fresh syrup left after 3 times process = 70\times (1 - \frac{10}{70})^3

So, required amount = 70\times \frac{6}{7}\times \frac{6}{7}\times {6}{7} = 44 lit