On a Rs. 10000 payment order, a person has choice between 3 successive discounts of 10%, 10% and 30%, and 3 successive discounts of 40%, 5% and 5%. By choosing the better one he can save (in rupees)

Solution(By Examveda Team)

Final price in 1^st case
= 70% of 90% of 90% of Rs. 10000
$$\eqalign{ & = {\text{Rs}}{\text{.}}\left( {\frac{{70}}{{100}} \times \frac{{90}}{{100}} \times \frac{{90}}{{100}} \times 10000} \right) \cr & = {\text{Rs}}{\text{. 5670}}{\text{}} \cr} $$
Final price in 2^nd case
= 95% of 95% of 60% of Rs. 10000
$$\eqalign{ & = {\text{Rs}}{\text{.}}\left( {\frac{{95}}{{100}} \times \frac{{95}}{{100}} \times \frac{{60}}{{100}} \times 10000} \right) \cr & = {\text{Rs}}{\text{. 5415}}{\text{}} \cr} $$
∴ Money saved by choosing the better offer
= Rs. (5670 - 5415)
= Rs. 255