Aspire Faculty ID #16585 · Topic: NIMCET 2008 · Just now
NIMCET 2008

Four friends – Arjan, Bhuvan, Guran and Lakha were comparing the number of sheep they owned. Guran has 10 more sheep than Lakha. Arjan gave one third to Bhuvan, Bhuvan gave one fourth of what he then held to Guran, Guran passed one fifth of his holding to Lakha. After this, all had equal number of sheep. How many sheep did each possess? (Minimum possible)

Solution

Assume the final equal number and work backwards so that all transfers are integers. The minimum set satisfying all conditions is: Arjan = 90, Bhuvan = 50, Guran = 55, Lakha = 45.

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