1. Tina, Mina, Gina, Lina and Bina are 5 sisters, aged in that order, with Tina being the eldest. Each of them had to carry a bucket of water from a well to their house. Their buckets’ capacities were proportional to their ages. While returning, equal amount of water got splashed out of their buckets. Who lost maximum amount of water as a percentage of the bucket capacity?
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By: anil on 05 May 2019 02.37 am
Let the capacities of bucket of water carried by Tina, Mina, Gina, Lina and Bina respectively be $$W_T, W_M, W_G, W_L, W_B$$ It is given that : $$W_T > W_M > W_G > W_L > W_B$$ Let they spill $$x$$ litres of water from the bucket. Thus, %age of water spilled by them respectively be = $$frac{x}{W_T} imes 100 $$, $$frac{x}{W_M} imes 100$$, $$frac{x}{W_G} imes 100$$, $$frac{x}{W_L} imes 100$$, $$frac{x}{W_B} imes 100$$ $$ecause W_T > W_M > W_G > W_L > W_B$$ $$ herefore frac{x}{W_T} imes 100$$ < $$ frac{x}{W_M} imes 100$$ < $$frac{x}{W_G} imes 100$$ < $$frac{x}{W_L} imes 100$$ < $$frac{x}{W_B} imes 100$$ Thus, Bina lost maximum amount of water as a percentage of the bucket capacity.
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