Riya bought a cycle with 21% discount on the labeled price. She sold the cycle for Rs.3000 with 20%

M4maths Previous Puzzles

26 Jan 2017 Cost Price

Riya bought a cycle with 21% discount on the labeled price. She sold the cycle for Rs.3000 with 20% profit on the labeled price. At what price did she buy the cycle?

OPtion

1) Rs. 2500
2) Rs. 2450
3) Rs. 2375
4) Rs. 2250
5) Rs. 2175
6) Rs. 2025
7) Rs. 1975
8) Rs. 1850
9) Rs. 1725
10)Rs. 1650

Solution

Riya sold the cycle with 20% profit on the Labeled Price
⇒3000=120×Labeled Price/100
⇒Labeled Price=(3000×100)/120= 2500
Riya bought cycle with 21% discount on the labeled price
=> CP = Labeled Price×79/100=2500×79/100=1975

Option 7)

Correct Option: 7 Best Solution (21)

G.S.Kantharao   7 years AGO

Profit on Marked Price =20%
Let the marked price =X
120X/100 =3000
X= 3000*100/120=2500
Discount Given =21%
Cost Price = 2500*79/100=25*79=1975
My choice is 7

Like? Yes (4) | No (1)  

sruthi pujari   7 years AGO

20% profit on labelled price=> 3000*120/100=2500
21% of discount is offered=> 21% of 2500 =525
She bought at cost price of 2500-525=1975

Like? Yes (1) | No   

DIVYANSHU SHEKHAR   7 years AGO

Let label price=x
20% profit on x is 3000
=>x*120/100=3000 so, x=2500
cost price=2500-21% of 2500
=2500-525
=1975

Like? Yes (1) | No   

Rakesh   7 years AGO

cp=100*3000/120
cp=2500
21%discount so price is 1975

Like? Yes | No   

sanju   7 years AGO

3000-X/X=0.2
X=Labeled Price=2500
Cost Price=79/100*X=1975

Like? Yes | No   

Ansh   7 years AGO

SP/CP = 20%
CP = 3000/(1.2)
CP = 2500

PRICE AT WHICH SHE BUYS THE CYCLE = 2500 - (21% OF 2500)
= 1975

Like? Yes | No   

DHANANJAY KUMAR   7 years AGO

Let be the labeled price is x then,
3000-x=20*x/100
so x=2500
buying price = 2500-(2500*21)/100 = 1975

Like? Yes | No   

Mukund Manohar   7 years AGO

Let the labeled price be Rs x
3000 = 120x/100
=> x = 30000/12 = 2500
CP = 79*x/100 = 79 * 25 = 1975
Riya bought the cycle for Rs 1975

Like? Yes | No   

TANIYA ROY   7 years AGO

let marked price be Rs. x
discounted price=x-(21/100*x)=79x/100
as given,x+(x*20/100)=3000
=>x=Rs.2500
79x/100=1975

Like? Yes | No   

Vivek Pandey   7 years AGO

(3000/120)*100=2500 i.e. labelled price after 21% discount it will be 1975 Rs which is CP

Like? Yes | No   

Ajay Sharma   7 years AGO

on selling cycle at price 3000 at 30%
let x be the labelled price
so, x*20/100=3000-x
x=15000-5x
x=15000/6=2500
so labelled price is 1500
since riya bought it on 21% discount
so the price at which she bought cycle is 79% of labelled price
so 2500*79/100=25*79
=1975

Like? Yes | No   

Parveen Soni   7 years AGO

let labeled price is x then she bought it in
x-(21x/100)=79x/100

and she sold it in
x+(20x/100)=120x/100=3000 which gives x=2500

so she bought it in (79*2500)/100=1975

Like? Yes | No   

Jamil Ahmed   7 years AGO

Labeled price = Rs.3000*100/120 = Rs.2500
Price at which she bought the cycle = Rs.2500*(100-21)% = 1975

Like? Yes | No   

Chirag Kothari   7 years AGO

3000 is 120% of label price
whose 79% We have to calculate

Like? Yes | No   

Vijayakumar   7 years AGO

20% profit on Labeled price is 3000. Therefore labelled price is 2500.
21% discount on labelled price. So ans is 1975

Like? Yes | No   

RAJ   7 years AGO

let labeled price be Rs x
now, 1.2x=3000
x=2500
now,21% discount on labeled price
means .79*2500=1975

Like? Yes | No   

Basant Bothra   7 years AGO

Let,
labeled price=x
cp=(100/120*3000)=2500
labeled price=(79*2500)/100=1975

Like? Yes | No   

Anandita Rani   7 years AGO

Let the labelled price be Rs x .
Then , 120% of x = 3000 => x = 2500

CP = 79% of 2500 = 1975

Like? Yes | No   

vishal vats   7 years AGO

cp would be on labeled price..so let lp is x..now cp is 79 % of x.. also 120 % of x= 3000 ...solving these equations we get the value of x which is 2500..now cp is 79× 25 = 1975

Like? Yes | No   

vaishali   7 years AGO

c.p=(100/(100+profit))*s.p
c.p=100*3000/120
=2500
now discount r.s=2500 of 21%
=525
now real c.p=2500-525
=1975

Like? Yes | No   

A.P.Singh   7 years AGO

labelled price = 3000/1.2=Rs 2500
Buying price = 2500*(1-0.21)= 2500*0.79= Rs. 1975

Like? Yes | No