Question

An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ?
A) 2000
B) 3000
C) 2500
D) 3500

Answer 1

$\boxed{Question-}$An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ?
A) 2000
B) 3000
C) 2500
D) 3500


$\huge\bold{Solution}$



Let 's' be the number of small packets and 'b' the number of large packets sold on that day.  


Therefore, s + b = 5000 ... eqn (1)  

Each small packet was sold for Rs.150.Therefore, 's' small packets would have fetched Rs.150s.  


Each large packets was sold for Rs.250.Therefore, 'b' large packets would have fetched Rs.250b.  


Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given)  

Or

150s + 250b = 10,50,000 ... eqn (2)  


Multiplying equation (1) by 150,
we get 150s + 150b = 7,50,000 ... eqn (3)  

Subtracting eqn (3) from eqn (2), we get

100b = 3,00,000

Or

b = 3000  


➡️We know that s + b = 5000

So,

s = 5000 - b = 5000 - 3000 = 2000.  



➡️Hence correct option is "A" 2000 s mall packets were sold.⬅️