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The true discount on a sum of money due 2 years hence at 5% is 15. Find the sum.

a

150

b

170

c

165

d

160

Answer : Option C
Explanation :

True discount = Amount ×R×T100+(R×T)=frac{ ext { Amount } imes mathrm{R} imes mathrm{T}}{100+(mathrm{R} imes mathrm{T})}

15=A×5×2100+10Rightarrow 15=frac{mathrm{A} imes 5 imes 2}{100+10}

A=11×15=Rs.165Rightarrow mathrm{A}=11 imes 15=mathrm{Rs} .165

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