Question

Gurpreet sells two watches for Rs 1995 each gaining 15 percentage on one and loss in 15 percentage on the other find his gain or loss percentage in the whole transaction

Answer 1

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Solutions :-

We have,
Gurpreet sells two watches for Rs 1995 each

Find the cost price of one watch at gain of 15% :-

C.P = (S.P × 100)/(100 + gain)
= (1995 × 100)/(100 + 15)
= 199500/115
= 1734.78

Find the cost price of other watch at loss of 15% :-

C.P = (S.P × 100)/(100 - loss)
= (1995 × 100)/(100 - 15)
= 199500/85
= 2347.05

Now,
We have,

Selling price of two watch = Rs (1995 + 1995) = Rs 3990
Cost price of two watch = Rs (1734.78 + 2347.05) = Rs 4081.83

Cost Price > Selling price

Loss = C.P - S.P
= Rs (4081.83 - 3990)
= Rs 91.83

Loss % = (loss × 100)/ C.P %
= (91.83 × 100)/4081.83 %
= 9183/4081.83 %
= 2.25 %

Answer : His loss percentage in the whole transaction = Rs 2.25%

Answer 2

Solutions :-

Selling price = S.P
Cost Price = C.P

Given :
Gurpreet sells two watches for Rs 1995 each.

Find the cost price of one watch at gain of 15% :-

C.P = (S.P × 100)/(100 + gain)
= Rs (1995 × 100)/(100 + 15)
= Rs 199500/115
= Rs 1734.78

Find the cost price of other watch at loss of 15% :-

C.P = (S.P × 100)/(100 - loss)
= Rs (1995 × 100)/(100 - 15)
= Rs 199500/85
= Rs 2347.05

We get,
Cost price of two watch = Rs (1734.78 + 2347.05) = Rs 4081.83
Selling price of two watch = Rs (1995 + 1995) = Rs 3990

Here,
Cost Price is greater than the selling price. Therefore, Loss.

Find the loss :-
Loss = C.P - S.P
= Rs (4081.83 - 3990)
= Rs 91.83

Find the loss percent :-

Loss % = (loss × 100)/ C.P %
= (91.83 × 100)/4081.83 %
= 9183/4081.83 %
= 2.249 % approx,

Hence,
His loss percent in the whole transaction = Rs 2.25%