1+r/100 =21/20 find the value
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vinaygupta7785:
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1 + (r÷100) = 21÷20
(100+r) ÷ 100 = 21÷20
Multiplying 20 on both sides,
((100+r) ÷ 100 )20 = (21÷20)20
(100+r)÷5 = 21
100 + r = 21 x 5 = 105
r = 105 - 100 = 5
Therefore, r = 5
Verification:
1 + 5÷100 = 21÷20
(100+5)/100 = 21÷20
105/100 = 21÷20
Simplify 105 and 100,
21÷20 = 21÷20
LHS = RHS.
Hence proved that r = 5
(100+r) ÷ 100 = 21÷20
Multiplying 20 on both sides,
((100+r) ÷ 100 )20 = (21÷20)20
(100+r)÷5 = 21
100 + r = 21 x 5 = 105
r = 105 - 100 = 5
Therefore, r = 5
Verification:
1 + 5÷100 = 21÷20
(100+5)/100 = 21÷20
105/100 = 21÷20
Simplify 105 and 100,
21÷20 = 21÷20
LHS = RHS.
Hence proved that r = 5
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