Que: As per the previous year's data, $q can buy p number of items. If the average cost of each item.......

[Max@Math Revolution]

Que: As per the previous year's data, $q can buy p number of items. If the average cost of each item increased by 25 percent this year, then the number of items can be bought with $6q equals?

(A) 4.8p
(B) 2.50p
(C) 8p
(D) 6p
(E) 7.50p

[Max@Math Revolution]

Solution: Cost of p items = $q

Since the cost increases by 25%, the new cost of p items = \(\frac{125}{100}\) * $q = $\(\frac{5q}{4}\)

Thus, with a budget of $\(\frac{5q}{4}\), 'p' items can be bought this year.

Thus, with a budget of $6q, the numbers of items that can be bought

=> \(\frac{6qp}{\frac{5q}{4}}\) (Since \(\frac{5q}{4}\) : p = $6q : x, we get x = \(\frac{6qp}{\frac{5q}{4}}\)

=> x = 4.8p

Therefore, A is the correct answer.

Answer A