CAT 2022 Ratio, Proportion and Variation Question (Medium)

Question

A donation box can receive only cheques of 100, 250, and 500. On one good day, the donation box was found to contain exactly 100 cheques amounting to a total sum of 15250. Then, the maximum possible number of cheques of 500 that the donation box may have contained, is

Accepted Answer

Step 1 Let the donation box accept only cheques of x, y, and z. We are told there are 100 cheques totaling T. We want to find the maximum number of x cheques possible. Let the number of x cheques be , y cheques be , and z cheques be . So - - We want to maximize under these constraints. Step 2 Let s

CAT 2022

Quantitative

Ratio, Proportion and Variation

Medium

A donation box can receive only cheques of ₹100, ₹250, and ₹500. On one good day, the donation box was found to contain exactly 100 cheques amounting to a total sum of ₹15250. Then, the maximum possible number of cheques of ₹500 that the donation box may have contained, is

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