Question : In what ratio should tea at Rs. 240 per kg be mixed with tea at Rs. 280 per kg so that, on selling the mixture at Rs. 324 per kg, there is a profit of 20%?
Option 1: 1 : 1
Option 2: 1 : 2
Option 3: 1 : 3
Option 4: 1 : 4
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Correct Answer: 1 : 3
Solution : Let the cost price (CP) of Tea A = Rs. 240 and CP of Tea B = Rs. 280 Let the CP of the mixture be Rs. $x$. The mixture is sold at Rs. 324 with a gain of 20%. So, $\frac{120x}{100}$ = 324 $\therefore x$ = 270 Thus, the CP of the mixture is Rs. 270. Now, using the concept of alligation, we get, Required ratio = (Higher value – Mean value) : (Mean value – Lower value) = 280 – 270 : 270 – 240 = 10 : 30 = 1 : 3 Hence, the correct answer is 1 : 3.
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