Sahana sells two watches for Rs. 1955 each gaining 15% on one and losing 15% on the other. Find her gain or loss percent in the whole transaction.
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Solutions :-
We have,
Suhana sells two watches for Rs 1955 each
Find the cost price of one watch at gain of 15% :-
C.P = (S.P × 100)/(100 + gain)
= (1955 × 100)/(100 + 15)
= 195500/115
= 1700
Find the cost price of other watch at loss of 15% :-
C.P = (S.P × 100)/(100 - loss)
= (1955 × 100)/(100 - 15)
= 195500/85
= 2300
Now,
We have,
Selling price of two watch = Rs (1955 + 1955) = Rs 3910
Cost price of two watch = Rs (1700 + 2300) = Rs 4000
Cost Price > Selling price
Loss = C.P - S.P
= Rs (4000 - 3910)
= Rs 90
Loss % = (loss × 100)/ C.P %
= (90 × 100)/4000 %
= 9000/4000 %
= 2.25 %
Answer : His loss percentage in the whole transaction = 2.25%
We have,
Suhana sells two watches for Rs 1955 each
Find the cost price of one watch at gain of 15% :-
C.P = (S.P × 100)/(100 + gain)
= (1955 × 100)/(100 + 15)
= 195500/115
= 1700
Find the cost price of other watch at loss of 15% :-
C.P = (S.P × 100)/(100 - loss)
= (1955 × 100)/(100 - 15)
= 195500/85
= 2300
Now,
We have,
Selling price of two watch = Rs (1955 + 1955) = Rs 3910
Cost price of two watch = Rs (1700 + 2300) = Rs 4000
Cost Price > Selling price
Loss = C.P - S.P
= Rs (4000 - 3910)
= Rs 90
Loss % = (loss × 100)/ C.P %
= (90 × 100)/4000 %
= 9000/4000 %
= 2.25 %
Answer : His loss percentage in the whole transaction = 2.25%
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