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Question

In what ratio must a grocer mix two varieties of tea worth Tk.60 per kg and Tk.80 per kg that by selling the mixture at Tk.68.20per kg he may gain 10%?

3:2

3:4

3:5

4:5

None of these

ANSWER : 1

Descrption

<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">***The question is erroneous...</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Let the mixture be made up of x kg tea of worth TK 60 per kg and y kg tea of worth TK. 80 per kg.</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Total cost price  =  60x   +   80y</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Total selling price  =  68.2(x  +  y)</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Now, {</span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">68.2(x  +  y)  -  (</span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">60x   +   80y)} / (</span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">60x   +   80y)  =  10/100</span></p>
<p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">or,&nbsp; (68.2x   +   68.2y  -  60x  -  80y) / (60x   +   80y)  =  1/10</span></p>
<p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">or,&nbsp; (8.2x  -  11.8y) / (60x   +   80y)  =  1/10</span></p>
<p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">or,&nbsp; 82x  -  118y  =  60x   +   80y</span></p>
<p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">or,&nbsp; 82x  -  60x  =  80y   +   118y</span></p>
<p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">or,&nbsp; 22x  =  198y</span></p>
<p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">or,&nbsp; x / y  =  198 / 22</span></p>
<p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">or, x / y  =  9 / 1</span></p>
<p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">So, x : y  =  <strong>9 : 1</strong></span></p>

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