Question

1. Verify the following a×(b+c) =(a×b)+(a×c):

a=8,b=-4,c=2.

2. A fruit merchant earns a profit of Rs 6 per bag of oranges sold and a loss of Rs.4 per bag of grapes sold. What is the number of bags of oranges to be sold to have neither profit nor loss if the number of grapes bags are sold are 900bags.
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Answer 1

Step-by-step explanation:

1 LHS

a×(b+c)

8×(4+2)

8×6

48

RHS

(a×b)+(a×c)

(8×4)+(8×2)

32 + 16

48

LHS = RHS

Hence verified!!!

2.

loss on 1 bag of grapes = ₹ 4

total loss on 900 bags of grapes = 900 ×4

= ₹3600

given neither profit nor loss

so total profit should be ₹3600

profit on 1 bag of oranges = ₹6

no. of bags of oranges = 3600 ÷ 6

= 600 bags