Raj invested in 3 companies - indigo, hul, and sbi - at rs. 300, rs. 200, and rs. 5 per share. If he bought 100 shares for rs. 10000, then how many indigo and hul shares did he buy?
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Hello Dear,
This question can't be answered without options.
# Options are -
(1) 15, 25
(2) 23, 17
(3) 17, 23
(4) 17, 60
◆ Answer -
(3) 17, 23
◆ Explanation -
Let x, y and z be no of shares Raj bought in Indigo, Hul and SBI respectively.
Given that total no of shares are 100.
x + y + z = 100 ...(1)
300x + 200y + 5z = 10000 ...(2)
So here,
300x + 200y + 5z = 10000
60x + 40y + z = 2000
60x + 40y + 100 - x - y = 2000
59x + 39y = 1900
This eqn can be satisfied by multiple solution.
From the options, x = 17 & y = 23 satisfy eqn,
LHS = 59×17 + 39×23
LHS = 1900
LHS = RHS
Hence, answer is 17 and 23.
thanks dear...
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