Question

A flat screen TV set was sold at a gain of 10%. Had it been sold for3000
more, the gain would have been 15%. Find the cost price of the TV set.​

Answer 1

Step-by-step explanation:

given 10%

at rs 3000

$\frac{10}{100}$

10×3000\100=30rs gain

Answer 2

$i)Let \: cost \:price \: of \:a \\flat \:screen \:TV = Rs\:x$

$Gain (g) = 10\% \\Let \: selling \:price = Rs\:y$

$\boxed { \pink { selling \:price = c.p\Big(\frac{100+g}{100} \Big) }}$

$y= x\Big(\frac{100+10}{100}\Big) \\= \frac{110x}{100} \: ---(1)$

$2) If \: he \: would \:had \:been \:sold \:for \\Rs\:3000 \:Gain \: 15\% ,$

$y + 3000 = x\Big(\frac{100+15}{100}\Big) \\= \frac{115x}{100} \: ---(2)$

/* Do Equation (1) ÷ Equation (2) , we get */

$\frac{y}{y+3000} = \frac{\frac{110x}{100}}{\frac{115x}{100}}$

$\implies \frac{y}{y+3000} = \frac{110}{115}$

$\implies \frac{y}{y+3000} = \frac{22}{23}$

$\implies 23y = 22(y+3000)$

$\implies 23y = 22y + 66000$

$\implies 23y - 22y = 66000$

$\implies y = Rs \:66000$

/* Substitute value of y ,in equation (1) , we get */

$66000 = \frac{110x}{100}$

$\implies 66000 \times \frac{100}{110} = x$

$\implies x = Rs \:60000$

Therefore.,

$\red { Cost\:Price \:of \:the \:T.V} \green { = Rs \:60000}$

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