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Kamlesh buys some sarees and suits for ₹10,000. The cost of each saree is ₹1,500, and the cost of each suit is ₹1,000. The total number of sarees
Question

Kamlesh buys some sarees and suits for ₹10,000. The cost of each saree is ₹1,500, and the cost of each suit is ₹1,000. The total number of sarees and suits is 8. Find the number of suits and sarees.

A.

4 sarees and 4 suits

B.

3 sarees and 5 suits

C.

2 sarees and 6 suits

D.

5 sarees and 3 suits

Correct option is A

Given:

Total items = 8 (sarees + suits)

Total cost = ₹10,000

Cost per saree = ₹1,500

Cost per suit = ₹1,000

Solution:

Let number of sarees = s, suits = t.
s + t = 8 
1500s + 1000t = 10000

Solve simultaneous linear equations.

From s + t = 8

t = 8 - s.
Substitute:
1500s + 1000(8 - s) = 10000
1500s + 8000 - 1000s = 10000
500s = 2000
s = 4,  t = 8 - 4 = 4.
Sarees = 4, Suits = 4

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