Sarita sells two sarees for Rs 9000 each.she gain 10% on one saree and she loses 10% on the other. find her gain or loss % on the whole transaction
Answers
Step-by-step explanation:
Given :-
Sarita sells two sarees for Rs 9000 each.
She gains 10% on one saree and she loses 10% on the other.
To find :-
Percentage of gain or loss on the whole transaction.
Solution :-
Given that
Selling Price of the first saree
(SP) = Rs. 9000
Gain Percentage on it (g%) = 10%
We know that
Cost Price = (100×SP)/(100+g)
=> Cost Price = (100×9000)/(100+10)
=> CP = 900000/110
=> CP = 90000/11
=> CP = 8181.8181...
Therefore, Cost Price of the first saree
= Rs. 8181.82
and
Selling Price of the second saree
(SP) = Rs. 9000
Loss Percentage on it (l%) = 10%
We know that
Cost Price = (100×SP)/(100-l)
=> Cost Price = (100×9000)/(100-10)
=> CP = 900000/90
=> CP = 90000/9
=> CP = 10000
Therefore, Cost Price of the second saree = Rs. 10000
We have
CP of the first saree = Rs. 8181.82
CP of the second saree = Rs. 10000
Total Cost Price of two sarees
= 8181.82+10000
= Rs. 18181.82
SP of the first saree = Rs. 9000
SP of the second saree = Rs. 9000
Selling Price of the two sarees
= 9000+9000
= Rs. 18000
CP > SP
Therefore, Loss occurs.
We know that
Loss = CP - SP
=> Loss = 18181.82-18000
=> Loss = Rs. 181.82
We know that
Loss % = (Loss / CP) × 100
=> L% = (181.82/18181.82)×100
=> L% = (181.82×100)/18181.82
=> L% = 18182/18181.82
=> L% = 1.000009...
=> Loss % = 1%
Answer :-
The loss percentage on the whole transaction is 1%
Used formulae:-
→ Loss = Cost Price-Selling Price
→ Loss % = (Loss / CP)×100
→ Cost Price = (100×SP)/(100+g)
→ Cost Price = (100×SP)/(100-l)
- CP = Cost Price
- SP = Selling Price
- g = Profit or gain
- l = loss
Step-by-step explanation:
Step-by-step explanation:
Given :-
Sarita sells two sarees for Rs 9000 each.
She gains 10% on one saree and she loses 10% on the other.
To find :-
Percentage of gain or loss on the whole transaction.
Solution :-
Given that
Selling Price of the first saree
(SP) = Rs. 9000
Gain Percentage on it (g%) = 10%
We know that
Cost Price = (100×SP)/(100+g)
=> Cost Price = (100×9000)/(100+10)
=> CP = 900000/110
=> CP = 90000/11
=> CP = 8181.8181...
Therefore, Cost Price of the first saree
= Rs. 8181.82
and
Selling Price of the second saree
(SP) = Rs. 9000
Loss Percentage on it (l%) = 10%
We know that
Cost Price = (100×SP)/(100-l)
=> Cost Price = (100×9000)/(100-10)
=> CP = 900000/90
=> CP = 90000/9
=> CP = 10000
Therefore, Cost Price of the second saree = Rs. 10000
We have
CP of the first saree = Rs. 8181.82
CP of the second saree = Rs. 10000
Total Cost Price of two sarees
= 8181.82+10000
= Rs. 18181.82
SP of the first saree = Rs. 9000
SP of the second saree = Rs. 9000
Selling Price of the two sarees
= 9000+9000
= Rs. 18000
CP > SP
Therefore, Loss occurs.
We know that
Loss = CP - SP
=> Loss = 18181.82-18000
=> Loss = Rs. 181.82
We know that
Loss % = (Loss / CP) × 100
=> L% = (181.82/18181.82)×100
=> L% = (181.82×100)/18181.82
=> L% = 18182/18181.82
=> L% = 1.000009...
=> Loss % = 1%
Answer :-
The loss percentage on the whole transaction is 1%
Used formulae:-
→ Loss = Cost Price-Selling Price
→ Loss % = (Loss / CP)×100
→ Cost Price = (100×SP)/(100+g)
→ Cost Price = (100×SP)/(100-l)
CP = Cost Price
SP = Selling Price
g = Profit or gain
l = loss