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Answer to Q126

A person sells a TV set at 35% loss. Had he sold it for $135 more, his loss would have been reduced by 15%. How much did he buy the TV?

Let the price of the TV = X
Let the amount he sold the TV = Y

A person sells a TV set at 35% loss

Y = (100% - 35%) of X
Y = (1 - 0.35) of X
Y = 0.65X (eqn 1)

Had he sold it for $135 more, his loss would have been reduced by 15%.

Y + 135 = ((100% - 35%) + 15%) of X
Y + 135 = (0.65 + 0.15) of X
Y + 135 = 0.8X (eqn 2)

How much did he buy the TV?

In short, what is X (A.K.A: find X 😂)

Put (eqn 1) into (eqn 2)
0.65X + 135 = 0.8X
135 = 0.8X - 0.65X
135 = 0.15X
X = 135 ÷ 0.15
X = 900

Answer: $900

Riddles Repository - Answers
Answer to Q126

A person sells a TV set at 35% loss. Had he sold it for $135 more, his loss would have been reduced by 15%. How much did he buy the TV?

Let the price of the TV = X
Let the amount he sold the TV = Y

A person sells a TV set at 35% loss

Y = (100% - 35%) of X
Y = (1 - 0.35) of X
Y = 0.65X (eqn 1)

Had he sold it for $135 more, his loss would have been reduced by 15%.

Y + 135 = ((100% - 35%) + 15%) of X
Y + 135 = (0.65 + 0.15) of X
Y + 135 = 0.8X (eqn 2)

How much did he buy the TV?

In short, what is X (A.K.A: find X 😂)

Put (eqn 1) into (eqn 2)
0.65X + 135 = 0.8X
135 = 0.8X - 0.65X
135 = 0.15X
X = 135 ÷ 0.15
X = 900

Answer: $900
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