A trader sells total 315 TV sets. He sells black and white TV sets at a loss of 6% and color TV sets at a profit of 15% thus he gains 9% on the whole. What are the no. of black and white sets which he has sold?(Solve this question assuming that cost price of coloured T.V. is equal to cost price of black and white T.V. )

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Solution

Let the number of black and white T.V sets sold be $X$
Then no. of coloured T.V. sold = $315 - X$
Let the cost price of coloured and black and white T.V be $C$
According to question , $X \times C \times \frac{94}{100} +$ ( $315 - X$ ) ( $C \times \frac{115}{100}$ )= $315 \times C \times \frac{109}{100}$
Solving we get , $X$ = $90$

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Let the number of black and white T.V sets sold be XThen no. of coloured T.V. sold = 315−XLet the cost price of coloured and black and white T.V be CAccording to question , X×C×94100+ (315−X) (C×115100)=315×C×109100Solving we get , X=90