Question

Gurpreet sells two watches for ₹ 1995 each, gaining 15% on one and losing 15% on the other. Find his gain or loss per cent in the whole transaction.

Answer 1

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%

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✯ @shivamsinghamrajput ✯