Question

A dealer bought 25 kg of rice at the rate of rs 6 per kg and 35 kg of rice at the rate of rs 7 per kg . He mixed the two and sold the mixture at the rate of rs 6.75 per kg . What was his gain /loss in this transaction.​

Answer 1

$\sf \Large Solution!!$

$\sf \large Given:$

$\sf \to CP\:of\:25\:kg\:of\:rice=Rs.\:6\:per\:kg$

$\sf \to CP\:of\:35\:kg\:of\:rice=Rs.\:7\:per\:kg$

$\sf \to SP\:of\:the\:mixture\:of\:rice=Rs.\:6.75\:per\:kg$

$\sf So,$

$\sf \to CP\:of\:25\:kg\:of\:rice=Rs.\:6\times 25$

$\sf \to CP\:of\:25\:kg\:of\:rice=Rs.\:150$

$\sf \to CP\:of\:35\:kg\:of\:rice=Rs.\:7\times 35$

$\sf \to CP\:of\:35\:kg\:of\:rice=Rs.\:245$

$\sf \to CP\:of\:mixture(60\:kg)\:rice=Rs.\:150+Rs.\:245$

$\sf \to CP\:of\:mixture(60\:kg)\:rice=Rs.\:150+Rs.\:245$

$\sf \to CP\:of\:mixture(60\:kg)\:rice=Rs.\:395$

$\sf \to SP\:of\:mixture(60\:kg)\:rice=Rs.\:6.75\times 60$

$\sf \to SP\:of\:mixture(60\:kg)\:rice=Rs.\:405$

$\sf \blue{SP>CP}$

$\sf \to Profit=SP-CP$

$\sf \to Profit=Rs.\:405-Rs.\:395$

$\sf \boxed{\bigstar Profit=Rs.\:10}$

Thanks for asking!! :)