Question 22.

Tea of three different qualities costing ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, is bought in amounts which are in the proportion 2 : 3 : 5.

Let us assume that the amounts in which the Tea is bought is 6 : 9 : 15

(This is because 2 + 3 + 5 = 10, which is not a multiple of 6, further reading into the question, we find that we need to deal with one-sixth of the quantity, so having the total quantity as a multiple of 6 is beneficial to us.)

So, Total Cost Price = ₹ 800 * 6 + ₹ 500 * 9 + ₹ 300 * 15 = ₹ 13,800

Profit % = 50%

Profit = 50% of Cost Price = 50% of ₹ 13,800 = ₹ 6,900

Therefore, Selling Price = Cost Price + Profit = ₹ 13,800 + ₹ 6,900 = ₹ 20,700

Since one-sixth that $\frac{1}{6}$(6 + 9 + 15) = $\frac{1}{6}$(30) = 5kgs is sold at ₹ 700 per kg.

The Selling Price of these 5kgs is 5 * 700 = ₹ 3,500

The remaining ₹ 20,700 - ₹ 3,500 = ₹ 17,200 must be generated from selling the remaining 30 - 5 = 25 kgs.

So, the selling price of the remaining tea per kg must be $\frac{17,200}{25}$ = 172 * 4 = ₹ 688 per kg

The answer is '688'