Q70 2021, Ratio, Proportion, Partnership and Mixture

An amount of money was distributed among A, B and C in the ratio p: q: r. Consider the following statements:
1. A gets the maximum share if p is greater than (q+r).
2. C gets the minimum share if r is less than (p+q).
Which of the above statements is/are correct?

कुछ धनराशि A, B और C के बीच में p:q:r के अनुपात में वितरित की गई। निम्नलिखित कथनों पर विचार कीजिए:
1. यदि p, (q+r) से अधिक हो, तो A को अधिकतम अंश मिलेगा ।
2. यदि r, (p+q) से कम हो, तो C को न्यूनतम अंश मिलेगा ।
उपर्युक्त कथनों में से कौन-सा/कौन-से सही है/हैं?

From statement (1), P > (q + r) i.e., A's amount is more than individual amount received by B and C.

From statement (2), r < (p + q) i.e., C's amount is less than the sum of amount of A and B. But Individual amount received by A or B may be greater than the amount received by C.

Thus, C may not get minimum share. Hence statement (2) is not correct. Thus, option (a) is correct answer