A shopkeeper mixes two varieties of tea – one costing ` 75 per kg and the other costing ` 50 per kg in the… · ABC26GN2950
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: S.S.C. 2008
A shopkeeper mixes two varieties of tea – one costing ` 75 per kg and the other costing ` 50 per kg in the ratio 3 : 2. If he sells the mixed variety at ` 62.40 per kg, find his gain or loss percent.
Answer
No answer key was printed for this question.
Explanation
Suppose the shopkeeper mixes $3x$ kg of the first variety and $2x$ kg of the second variety. Then, C.P. of $(5x)$ kg of mixture $=₹(3x\times 75+2x\times 50)=₹(325x)$. S.P. of $(5x)$ kg of mixture $=₹(5x\times 62.40)=₹(312x)$. Loss $=₹(325x-312x)=₹(13x)$. $$\therefore \quad \text{Loss \%}=\left(\frac{13x}{325x}\times 100\right)\%=4\%.$$
Explanation as extracted from the printed page; notation may be imperfect.