You need a 18% acid solution for a certain test, but your supplier only ships a 13% solution and a 43% solution. You need 120 lts of the 18% acid solution. The 13% solution costs rs 82 per ltr for the first 67 ltrs, and rs 66 per ltr for any amount in access of 67 ltrs. What is the cost of the 13% solution you should buy?
a. 8002 b. 7012
c. 7672 d. 7342
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Answer:
Step-by-step explanation:
0.13x + 0.43y = 0.18 * 120 & x + y =120 => y = 120 - x
=> 0.13x + 0.43 (120 - x) = 0.18 * 120
=> x = 100
=> 100 lts of 13% solution
100 - 67 = 33
So,
67 * 82 + 33 * 66 = 7672
Therefore, Answer is Rs. 7672 for 100 lts of 13% solution.
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