A television and a washing machine were sold for Rs 12500 each. If the

1.	A television and a washing machine were sold for Rs 12500 each. If the television was sold at a gain of 30% and the washing machine at a loss of 30%, then the entire transaction resulted in (a) 9% gain (b) 9% loss (c) 11% gain (d) Neither gain nor loss
Answer» (b) 9% loss S.P. of the T.V. and washing machine = 2 × Rs 12500 = Rs 25000 C.P. of the T.V. = Rs 12500 x \(\frac{100}{130}\) C.P. of the washing machine = Rs 12500 x \(\frac{100}{70}\) \(\therefore\) Total C.P. = Rs 12500\(\big(\frac{100}{130}+\frac{100}{70}\big)\) = Rs 12500 x \(\frac{200}{91}\) \(\therefore\) Reqd. loss % = \(\frac{\frac{2500000}{91}-25000}{\frac{2500000}{91}}\)x 100 = \(\frac{2500000-2275000}{2500000}\) x 100 = \(\frac{225000}{2500000}\) x 100 = 9%

A television and a washing machine were sold for Rs 12500 each. If the television was sold at a gain of 30% and the washing machine at a loss of 30%, then the entire transaction resulted in (a) 9% gain (b) 9% loss (c) 11% gain (d) Neither gain nor loss

Answer»

(b) 9% loss

S.P. of the T.V. and washing machine

= 2 × Rs 12500 = Rs 25000

C.P. of the T.V. = Rs 12500 x \(\frac{100}{130}\)

C.P. of the washing machine = Rs 12500 x \(\frac{100}{70}\)

\(\therefore\) Total C.P. = Rs 12500\(\big(\frac{100}{130}+\frac{100}{70}\big)\)

= Rs 12500 x \(\frac{200}{91}\)

\(\therefore\) Reqd. loss % = \(\frac{\frac{2500000}{91}-25000}{\frac{2500000}{91}}\)x 100

= \(\frac{2500000-2275000}{2500000}\) x 100

= \(\frac{225000}{2500000}\) x 100 = 9%