Question

Nikita bought $30$ $kg$ of wheat at the rate of $Rs.$ $9.50$ $per$ $kg$ and $40$ $per$ $kg$ of wheat at the rate of $Rs.$ $8.50$ $per$ $kg$ mixed them. She sold the mixture at the rate of $Rs.$ $8.90$ $per$ $kg$. Her total profit or loss in the transaction was

• A. $Rs.$ $2$ loss
• B. $Rs.$ $7$ loss
• C. $Rs.$ $2$ profit
• D. $Rs.$ $7$ profit

Answer 1

The correct option is A $Rs.$ $2$ loss

Given, Cost of wheat${}_1$ = Rs. $9.50$

Cost of $30$ kg wheat${}_1=9.50\times 30=Rs.285$

Cost of wheat${}_2$ = Rs. $8.50$

Cost of $40$ kg wheat${}_2=8.50\times 40=Rs.340$

Total cost price $=285+340=$ Rs. $625$

S.P of $1$ kg of wheat = Rs.$8.90$

S.P of $70$ kg of wheat = $8.90\times 70=Rs.623$

CP > SP

$\Rightarrow$ we have loss

Loss $=CP-SP=625-623=2$

Loss = Rs. $2$