Question

Pooja makes a profit of Rs. $9$ for every large basket she sells and loses Rs. $4$ on every small basket. She cannot make only large baskets as buyers require that she supplies baskets of both sizes.
(i) If she gets an order to supply $7200$ large baskets and $11,200$ small baskets, what is the profit or loss she will be making from this order?
(ii) If in the next order she has to supply $8100$ small baskets, how many large baskets does she need to make so that makes neither profit nor loss in this order?

• A. (i)- Loss of Rs. $20000$, (ii)-$300$
• B. (i)-Profit of Rs. $20000$, (ii)-$3600$
• C. (i)-Loss of Rs. $25000$, (ii)-$3600$
• D. (i)-Profit of Rs. $30000$, (ii)-$2000$

Answer 1

Answer: (B)

(i)-Profit of Rs. $20000$, (ii)-$3600$

(i) Profit on large baskets
$=$ Rs.$(7200\times 9)=$ Rs. $64800$.
Loss on small baskets $=$ Rs. $(11200\times 4=$ Rs. $44800)$
Profit $=64800-44800=$ Rs. $20000$
(ii) Number of small baskets $=8100$
Loss on $8100$ small baskets $=$ Rs. $(8100\times 4)$ $=$ Rs. $32400$
Let number of large baskets be $x$
Therefore, profit on large baskets $=$ Rs. $32400$
$\Rightarrow 9x=32400$

$\Rightarrow x=\frac{32400}{9}$

$\Rightarrow x=3600$