Question

Priya is selling boxes of chocolates door-to-door. On her first day, she sells $12$ boxes of chocolates, and she intends to sell $5$ more boxes per day than on the day previous. If she meets her goal and sells boxes of chocolates for a total of $10$ days, Calculate the total number of boxes of chocolates she sold.

• A. 314
• B. 345
• C. 415
• D. 474
• E. 505

Answer 1

The correct option is B 345

Priya is selling boxes of chocolates door to door
On the first day, she sells $12$ boxes.
She intends to sell $5$ more boxes each day.
If she sells boxes for $10$ days, then total number of boxes she will sell will be,
$S_n=\frac{n}{2}[2a+(n-1)d]$
$=\frac{10}{2}[2\times 12+(10-1)5]$
$=5[24+45]$
$=5\times 69$
$=345$
She sold $345$ boxes of chocolates.