6 stools cost as much as 12 chairs, 4 chairs cost as much as 5 tables, 8 tables cost as much as 5 benches. if one stool costs rs. 96, find the cost of each bench
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6stool=12chairs........eq1
4chair=5tables
or
12chair=15tables
so from eq1
6stools =15 tables..........eq2
8table=5benches...........eq3
Now putting the cost of 1 stool =96 in eq2
we get
15 tables=6×96
1 table=(6×96)/15
8table=(8×6×96)/15
but 8 table =5benches. so
5 benches=(8×6×96)/15
1 bench=(8×6×96) / (15×5)
on solving you will get
1 bench cost=Rs61.44
4chair=5tables
or
12chair=15tables
so from eq1
6stools =15 tables..........eq2
8table=5benches...........eq3
Now putting the cost of 1 stool =96 in eq2
we get
15 tables=6×96
1 table=(6×96)/15
8table=(8×6×96)/15
but 8 table =5benches. so
5 benches=(8×6×96)/15
1 bench=(8×6×96) / (15×5)
on solving you will get
1 bench cost=Rs61.44
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