Percentage Online Test 2

Formula:
First value = last value×100/(100-p1)×100/(100-p2)× 100/(100-p3) (p=percentage)
First value = 5760×100/(100 – 40)×100/(100 – 20)×100/(100 – 40 )
= 5760 × 100/60× 100/80× 100/60
= 5760 × 5/3 × 5/4 × 5/3
= 5760 ×125/36
= 720000/36
= 20000

Let the amount paid to X per week = x
and the amount paid to Y per week = y
Then x + y = 4950
But x = 150% of y
= 150y/100
= 15y/10
∴15y/10 + y = 4950
⇒ y[15/10 + 1] = 4950
⇒ 25y/10 = 4950
⇒ 25y = 49500
⇒ y = 49500/25
y = Rs.1980

Quantity×Rate=Price
1×1=1
1.4×1.75=2.45
Decrease in price = (0.175/1) × 100
= 17.5%

Let the money he took for shopping be x.
Money he spent = 40 % of x
= 40/100 × x
= 4/10 x
Money left with him = x – 4/10 x = (10x – 4x)/10 = 6x/10
But money left with him = 3600
Therefore 6x/10 = 3600
x = 3600× 10/6
x = 36000/6
x = 6000
Therefore, the money he took for shopping is 6000.

Total hours in a day = 24
Required percent = 12/24 ×100
= 50%

60 kg = 36 kg dhal 24 kg rice
——– 15 kg dhal
Total = 15 kg dhal 24 kg rice (new)
24/75×100=32%

Total cost of the items he purchased = Rs.75
Given that out of this Rs.75, 90 Paise is given as tax

=> Total tax incurred = 90 Paise
= Rs.90/100
Let the cost of the tax free items = x
Given that tax rate = 18%
∴ (75− 90/100 − x)18/100 = 90/100
⇒ 18(75 −0.9 −x) = 90
⇒ (75 − 0.9 − x) = 5
x = 75 − 0.9 – 5
X=69.1

(1/6) ×(1/2)×(3/4)× x = 25
x/16 =25
x = 25×16
x = 400
30 % of 400 = 30/100 ×400
= 12000/100
= 120

She spends = 50% remaining 50% = 8450
Total salary = 8450 × 100 / 50
= 845000 / 50
= 16900

90 kg = 81 kg sugar 9 kg rava
Adding = 30 kg sugar
Total = 111kg sugar 9kg rava (new)
111/120 × 100 = 92.5 =92 1 /2