Question

9. A man sells two goats at Rs 120 each and by doing so gains 25% on one goat and loses 25% on the other. Does he gain or lose on the whole
and by how much?​

Answer 1

Answer:

Loss = 6.25% 16 Rupees

Step-by-step explanation:

Either you use the formula or use the trick to solve it to solve it

Trick

$\frac{(Profit)*(-loss)}{100} \\\frac{25*(-25)}{100}$

-6.25% (-) means overall loss

Cost price of 1 goat = $\frac{SP*100}{100+gain}$

                                   $\frac{120*100}{100+25} \\\frac{120*100}{125} \\\\\frac{12000}{125}$

= 96 Rs

Cost price of 2nd goat = $\frac{SP*100}{100-loss}$

                                   $\frac{120*100}{100-25} \\\frac{120*100}{75} \\\\\frac{12000}{75}$

= 160

Total CP = 160+96

= 256

Total SP = 120 +120

= 240

Loss = 256-240

Loss = 16

Loss % = 16/256 * 100

= 6.25%

Hope it helps