High School

We appreciate your visit to A man buys 2 varieties of rice the first at Rs 65 per kilo and the second at Rs 72 per kilo After thoroughly mixing. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A man buys 2 varieties of rice, the first at Rs. 65 per kilo and the second at Rs. 72 per kilo. After thoroughly mixing them, he sells the mixture for Rs. 84 per kilo, making a 20% profit. If he sold 21 kilos of this mixture, how many kilos of the first variety of rice must he have bought?

Answer :

Answer:

6

Step-by-step explanation:

You want the number of kilos of rice at ₹65 per kg that are mixed with rice at ₹72 per kg such that sale of 21 kg of the mixture at ₹84 results in a 20% profit.

Setup

Let x represent the number of kg of ₹65 rice. Then (21-x) is the number of kg of ₹72 rice. The purchase price is multiplied by 1.20 to find the selling price. The total revenue from sales is ...

(65x +72(21-x))×1.20 = 84×21

Solution

Simplifying the equation gives ...

1.20×72×21 -1.20×7x = 84×21 . . . . . . . eliminate parentheses

1814.40 -8.4x = 1764 . . . . . . . . . . . simplify the products

50.4 = 8.4x . . . . . . . . . . . . . . . . subtract 1764-8.4x

6 = x . . . . . . . . . . . . . . . . . . divide by 8.4

6 kilos of ₹65/kg rice were bought for the mix.

Thanks for taking the time to read A man buys 2 varieties of rice the first at Rs 65 per kilo and the second at Rs 72 per kilo After thoroughly mixing. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada