Cost price of two types of rice say a and b is rs 11 per kg and rs 13 per kg.to obtain a profit of 20% by selling the mixture and b at the selling price of rs 13.68 kg,how many kilograms of b should be mixed with 26 kg of a
Answers
Answer:
92
Q:
The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is
A) Rs. 19.50B) Rs. 19C) Rs. 18D) Rs. 18.50
Answer: C) Rs. 18
Explanation:
Let the price of the mixed variety be Rs. x per kg. By the rule of alligation, we have :
Cost of 1 kg of type 1 rice Cost of 1 kg of type 2 rice
∴" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">∴∴(20-x)/(x-15) = 2/3
⇒" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">⇒⇒ 60 - 3x = 2x - 30
⇒" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">⇒⇒ x = 18.
Given : Cost price of two types of rice say a and b is rs 11 per kg and rs 13 per kg.
obtain a profit of 20% by selling the mixture and b at the selling price of rs 13.68 kg
To Find : how many kilograms of b should be mixed with 26 kg of a
Solution:
Let say x kg of b should be mixed with 26 kg of a
cost of 26 kg of a = 26 * 11 = 276 Rs
Cost of x kg of b = 13x Rs
Total cost = 276 + 13x Rs
20 % profit = (20/100)(276 + 13x) rs
Total SP = 276 + 13x + 0.2(276 + 13x)
= 1.2(276 + 13x)
Total Mixture = 26 + x kg
Rate = Rs 13.68 kg
Total SP = (26 + x)(13.68)
Equate total SP
1.2(276 + 13x) = (26 + x)(13.68)
=> 331.2 + 15.6x = 355.68 + 13.68x
=> 1.92x = 24.48
=> x = 12.75
Hence 12.75 kilograms of b should be mixed with 26 kg of a
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