Ankit sold two jeans for ₹990. On one he gains 10% and on the other he lost 10%. Find s gain or loss percent in the whole transaction
Answers
Answer:
The overall loss percent on the two jeans sold at Rs 990 is 10%.
Step-by-step explanation:
Step 1 : Let the selling price of the jeans at a gain be x.
The selling price of the other jeans at a loss will be:
= 990 - x
Step 2 : Given the percentage gain and lose on the two jeans we can get the cost price of each.
The jeans sold at a gain :
The cost price = 100/110 × x = 10/11x
The cost price of the one sold at a loss = 100/90 × (990 - x) = 1100 - 10/9x
The cost price of the two items is the same.
Therefore we equate the two to get the value of x.
10/11x = 1100 - 10/9x
10/11x + 10/9x = 1100
200/99x = 1100
x = 1100 × 99/200
x = Rs 544.5
The total cost price = 10/11 × 544.5 + 10/9 × 544.5 = 1100
The cost price is Rs 1100
The selling price = Rs 990
Since the selling price is lower than the cost price, there is an overall loss.
The loss = 1100 - 990 = 110
The percentage loss is:
110/1100 × 100% = 10%
The overall loss percent is 10%.
Answer:
❇ Ankit sold two jeans for ₹990. On one he gains 10% and on the other he lost 10%. Find s gain or loss percent in the whole transaction ❓
SOLUTION ➡
S.P of two jeans = 2 × 990 = Rs. 1980
Now for 1st jeans , S.P = C.P ( 1 + Gain / 100 )
= 990 = C.P. ( 2 + 10 / 100 )
= 990 = C.P. × 110 / 100 )
= C.P. = 990 × 100 / 110 = RS . 900
FOR SECOND JEANS , S.P = C.P ( 1 - loss / 100 )
= 900 = C.P ( 1 - 10 / 100 )
= 900 = C.P × 90 / 100 )
= C.P. = 900 × 100 / 90 = 1100
: • Total C.P = Rs . 900 + 1100 = rs 2000
NOW C.P > S.P
:• LOSS = Rs 2000 - Rs 1980 = Rs 20
:• LOSS % = LOSS / C.P × 100
= 20 / 2000 × 100 = 1%
HENCE THE LOSS = 1%
Step-by-step explanation:
I hope it helps u :)