Hema bought two pairs of jeans for Rs.1450 each. She sold one of them

1.	Hema bought two pairs of jeans for Rs.1450 each. She sold one of them at a gain of 8% and the other at a loss of 4%. Find her gain or loss per cent in the whole transaction.
Answer» CP of first jeans = Rs.1450 SP of first jeans \(=\frac{100\,+\,Gain\%}{100}\times CP\) \(=\frac{100\,+\,8}{100}\times1450\) \(=\frac{108\,\times\,1450}{100}\) = Rs.1566 CP of second jeans = Rs.1450 SP of second jeans = \(=\frac{100\,+\,Loss\%}{100}\times CP\) \(=\frac{100\,-\,4}{100}\times1450\) \(=\frac{96}{100}\times1450\) = Rs.1392 CP of both the bat = 1450 + 1450 = Rs.2900 SP of both bats = 1566 + 1392 = Rs.2958 It is a case of Gain because SP is more than CP. Gain = SP – CP =2958 - 2900 = Rs58 \(Gain\%=\frac{Gain\times100}{CP}\) \(=\frac{58\,\times\,100}{2900}\) = 2%

Hema bought two pairs of jeans for Rs.1450 each. She sold one of them at a gain of 8% and the other at a loss of 4%. Find her gain or loss per cent in the whole transaction.

Answer»

CP of first jeans = Rs.1450

SP of first jeans \(=\frac{100\,+\,Gain\%}{100}\times CP\)

\(=\frac{100\,+\,8}{100}\times1450\)

\(=\frac{108\,\times\,1450}{100}\)

= Rs.1566

CP of second jeans = Rs.1450

SP of second jeans = \(=\frac{100\,+\,Loss\%}{100}\times CP\)

\(=\frac{100\,-\,4}{100}\times1450\)

\(=\frac{96}{100}\times1450\)

= Rs.1392

CP of both the bat = 1450 + 1450

= Rs.2900

SP of both bats = 1566 + 1392

= Rs.2958

It is a case of Gain because SP is more than CP.

Gain = SP – CP

=2958 - 2900

= Rs58

\(Gain\%=\frac{Gain\times100}{CP}\)

\(=\frac{58\,\times\,100}{2900}\)

= 2%