M4maths Previous Puzzles

28 Jan 2015 Taxes

In Mac Donald following taxes are added on the price of purchased items.
1) Vat 12.5% of purchased items.
2) Service tax 4% of purchased items.
3) Edu. cess 2% of service tax.
4) Add. Ed. Cess 1% of service tax.
Diana went to Mac Donald with his daughter and they purchased some burger, Mc pizza & Coffee. Diana paid 932.96 rupee as bill. The cost of items without all taxes was

OPtion

1) 780
2) 790
3) 800
4) 810
5) 820
6) 830
7) 840
8) 850
9) 860
10)870

Solution

Let the cost 1 rupee
Total taxes = 12.5*1/100 + 4*1/100 + 4*(1/100)*(2/100) + 4*(1/100)*(1/100)
= .125 + .04 + .0008 + .0004
= 0.1664
So paid cost for 1 rupee is 1.1662 rupee
So real cost = 932.96 * 1/1.1662 = 800
Option 3)

Correct Option: 3 Best Solution (37)

Supriya Mondal   9 years AGO

Let,the cost of items without all taxes was Rs. x
From the question we can write,
[x+(12.5*x)/100+(4*x)/100+(8*x)/10000+(4*x)/10000]=932.96
Solving this equation we get x=800
So, option 3)800 is the right answer

Like? Yes (6) | No (1)  

Pankaj   9 years AGO

if price=100/-
Vat 12.5% of purchased items=12.5/-
Service tax 4% of purchased items=4/-
Edu. cess 2% of service tax=0.08
Add. Ed. Cess 1% of service tax=0.04

total bill=116.62/-

if price is 116.62/- is bill then cost=100/-
if " " 1/- " " " "=100/116.62
if " "932.96/- " " " "=(100/116.62)*932.96/-

=800/-

Like? Yes (4) | No   

MRITUNJAY KUMAR   9 years AGO

Options)3

Like? Yes (2) | No   

Rakshit Shetty   9 years AGO

let x be the cost without taxes
x + (12.5% of x) + (4% of x) + (2% of 4% of x) + (1% of 4% of x) = 932.96
10000x + 1650x + 12x = 9329600
11662x = 9329600
x=800
option 3

Like? Yes (2) | No   

Rats   9 years AGO

x+(12.5x/100)+(4x/100)+(8x/10000)+(4x/10000)=932.96
x=800

Like? Yes (2) | No (1)  

Sanu Panji   9 years AGO

932.96/(1+12.5/100+4/100+8/10000+4/10000)=800

Like? Yes (1) | No   

sivaramakrishna   9 years AGO

let purchased cost is p
then
p+(1/8)p+(1/25)p+(3/2500)p=932.96
p=800

Like? Yes (1) | No   

sompon temtheerakij   9 years AGO

The cost of items without all taxes = a
vat = 0.125a
Service tax = 0.04a
Edu. cess = 0.0008a
Add. Ed. Cess = 0.0004a
so, a+0.125a+0.04a+0.0008a+0.0004a = 932.96
1.1662a = 932.96
a = 800

Like? Yes (1) | No   

Pradyumna K S   9 years AGO

x+12%(x)+4%(x)+2%(4%)(x)+1%(4%)(x)=932.96
(10000+1250+400+8+4)x=9329600
(11662)x=9329600
x=9329600/11662=800
Therefore the answer is option 3

Like? Yes (2) | No (1)  

AISHA KHAN   9 years AGO

Let the total original purchased price be Rs x.
Then, [x+12.5x/100+4x/100+2/100*(4x/100)+1/100*(4x/100)]=932.96
x=800
Original price without tax=Rs 800

Like? Yes (1) | No   

ABHINAV PUSHPAM   9 years AGO

800 is right answer

Like? Yes (1) | No   

Ponni   9 years AGO

800*12.5/100= 100
800*4/100 = 32
32*2/100 = 0.64
32*1/100 = 0.32
cost price = 800
total = 932.96
so option 3). 800

Like? Yes (1) | No   

Deepak Kumar Sahu   9 years AGO

let x is the purchased price
vat is x*(12.5/100)
service tax x*(4/100)
edu cess x*(4/100)*(2/100)
add edu cess x*(4/100)*(1/100)
so if we add all it should give 932.96
so x is 800 by calculating

Like? Yes (1) | No   

Shafi   9 years AGO

Suppose the total amount of items she buy is=x
So,vat=0.125x
Service tax=0.04x
Edu.cess=0.0008x
Add.Ed.Cess=0.0004x
Hence the total amount we get is by adding all of the above,which we get=1.1662x.
Now equating it with amount she buy i.e. 932.96
we get x=800(Answer)

Like? Yes (1) | No   

harvinder   9 years AGO

let cost without tax is x

932.96 = x + 0.125x + .04x + .0.2*0.4*x + 0.1*0.4 *x

solving it ...we get
x =400

Like? Yes (1) | No   

khushboo goenka   9 years AGO

total tax is .1662x total cost=1.1662 x

Like? Yes (1) | No   

arush gupta   9 years AGO

ans 800 rs

Like? Yes (1) | No   

mohini gupta   9 years AGO

let actual amount be x.
then, 12.5x/100 + 4x/100 + 2/100*4x/100 +1/100*4x/100 + x =932.96

Like? Yes (1) | No   

Swathy Murugan   9 years AGO

12.5% of 800 =100
4% of 800=32
2% of 32=0.64
1% of 32=0.32
so 100+800+0.32+0.64+32=932.96

Like? Yes (1) | No   

Gitanjali K   9 years AGO

total tax=100+32+0.64+0.32
=132.9
so, cost of items=932.96-132.96=800

Like? Yes (1) | No   

Anshul Garg   9 years AGO

Let the cost of purchased items be x.

According to statement given

x + x(0.125 + 0.04 + 0.0008 + 0.0004) = 932.96

After Solving for x we get 800.

Like? Yes (1) | No   

Jitendra Kumar   9 years AGO

let cost be x$
vat=0.125x
stax=.04x
edu.cess=0.02(0.04x)
add.edu.cess=0.01(0.04x)
so
x+0.125x+0.04x+0.02(0.04x)+0.01(0.04x)=932.96
1.1662x=932.96
x=800

Like? Yes (1) | No   

guru   9 years AGO

Total Tax on the purchased item= 12.5%+4%+.08%+.04%=16.62%
So, for the cost price of 100 the amount to be paid=116.62
So actual cost price = 93296/116.62= 800

Like? Yes (1) | No   

RAKESH   9 years AGO

x + ( .125x +.04x + .04x*.02 + .04x*.01) = 932.96

=> x = 800

Like? Yes (1) | No   

MRITUNJAY   9 years AGO

let the purchase price be x
12.5%*x+4%*x+3%*4%*x=932.96
x=800

Like? Yes (1) | No   

Jaspalsingh Parmar   9 years AGO

800 is answer. Let x be actual cost of the purchased items. So, 12.5% of X+4% of X+2%of 4% of X+ 1% of 4% of X= 932.96. Find X= 800

Like? Yes (1) | No   

Preethi   9 years AGO

let p be the cost before taxes
p+3% of (4%of p)+16.5 % of p = 932.96

Like? Yes (1) | No   

Abhik Das   9 years AGO

Let the original price is=x
so according to the given condition
(x+5*x/40+x/25+x/1250+x/2500)=932.96
or, x=800

Like? Yes (1) | No   

mayank agarwal   9 years AGO

Let the price of items be x.

Then, vat = (12.5/100)*x
Service tax = (4/100)*x
Edu cess = (2/100)*(4x/100)
Add Ed Cess = (1/100)*(4x/100)

So, x+(12.5/100)*x+ (4/100)*x + (2/100)*(4x/100) + (1/100)*(4x/100) = 932.96

On Calculation, x = 800 Ans.

Like? Yes (1) | No   

A M ANKIT KALLURAYA   9 years AGO

800 is answer. Let x be actual cost of the purchased items. So, 12.5% of X+4% of X+2%of 4% of X+ 1% of 4% of X= 932.96.
=> X= 800

Like? Yes (1) | No   

CHANDAN KUMAR   9 years AGO

X(1+0.125+0.04+0.0008+0.0004)=932.96
X=932.96/1.1662
X=800

Like? Yes (1) | No   

vinay kumar   9 years AGO

let x be answer.. then
x + 12.5%of x + 4% of x + 2 % of ( 4%of x ) + 1% of ( 4% of x ) = 932.96
solving for x we get
x= 800

Like? Yes (1) | No   

ganesh babu   9 years AGO

X+12.5x/100+4x/100+(2+1)(4x/100)/100=932.96
(10000+1250+400+12)x=9329600
(11662)x=9329600
X=800

Like? Yes (1) | No   

Saurabh Kumar Gupta   9 years AGO

Let x be the cost of items without all taxes.
Then,
x + (12.5%)*x + (4%)*x + (2+1)%*((4%)*x) = 932.96
x{1 + 12.5% + 4% + 3*(0.04)%} = 932.96
x(1 + 0.125 + 0.04 + 0.0012) = 932.96
x(1.1662) = 932.96
x = 932.96/1.1662
x = 800

Like? Yes (1) | No   

Sourabh Prasad   9 years AGO

Let x be the price of item bought without any tax.

932.96 = x+ x*12.5/100 + x*4/100 + x*4/100(3)
solve for x
x=800

Like? Yes (1) | No   

Sandeep Kumar   9 years AGO

hit and trail.

Like? Yes (1) | No   

prakash kumar   9 years AGO

Let x be actual cost of the purchased items. So, 12.5% of X+4% of X+2%of 4% of X+ 1% of 4% of X= 932.96.
X= 800

Like? Yes (1) | No