An article is listed at Rs. 900 and two successive discounts of 8% and 8% are given on it. How much would the seller gain or lose, if he gives a single discounts of 16%, instead of two discounts?

1Gain of Rs. 4.76
2Loss of Rs. 5.76
3Loss of Rs. 4.76
4Gain of Rs. 5.76

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Loss = Rs . [(92 % of 92 % of 900)] \\ = Rs . [(\frac{92}{100} \times \frac{92}{100} \times 900) - (\frac{84}{100} \times 900)] \\ = Rs . (761.76 - 756) = Rs .5 .76 \\ = Loss of Rs . 5.76 \end{aligned}

$\eqalign{ & {\text{Loss}} = {\text{Rs}}.\left[ {\left( {92\% {\text{ of }}92\% {\text{ of }}900} \right)} \right] \cr & = {\text{Rs}}.\left[ {\left( {\frac{{92}}{{100}} \times \frac{{92}}{{100}} \times 900} \right) - \left( {\frac{{84}}{{100}} \times 900} \right)} \right] \cr & = {\text{Rs}}.\left( {761.76 - 756} \right) = {\text{Rs}}.5.76 \cr & = {\text{Loss of Rs}}{\text{. }}5.76 \cr}$