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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
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B
345
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C
415
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D
474
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E
505
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Solution

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,
$${ S }_{ n }=\dfrac { n }{ 2 } \left[ 2a+\left( n-1 \right) d \right] $$
 $$=\dfrac { 10 }{ 2 } \left[ 2\times 12+\left( 10-1 \right) 5 \right] $$
 $$=5\left[ 24+45 \right] $$
 $$=5\times 69$$
 $$=345$$
She sold $$345$$ boxes of chocolates.

Mathematics

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