A company offers three types of successive discounts
i. 25% and 15%
ii. 30% and 10%
iii. 35% and 5%
Which offer is the best for a customer ?

Solution(By Examveda Team)

let the M.P. of an article be Rs. 100. We may calculate the final price of this article under each of the three offers:
i. Final Price = 85% of 75% of Rs. 100
$$\eqalign{ & {\text{ = Rs}}{\text{.}}\left( {\frac{{85}}{{100}} \times \frac{{75}}{{100}} \times 100} \right) \cr & = {\text{Rs}}{\text{. }}63.75 \cr} $$

ii. Final price = 90% of 70% of Rs. 100
$$\eqalign{ & = {\text{ Rs}}{\text{.}}\left( {\frac{{90}}{{100}} \times \frac{{70}}{{100}} \times 100} \right) \cr & = {\text{Rs}}{\text{. }}63 \cr} $$

iii. Final price = 95% of 65% of Rs. 100
$$\eqalign{ & {\text{ = Rs}}{\text{.}}\left( {\frac{{95}}{{100}} \times \frac{{65}}{{100}} \times 100} \right) \cr & = {\text{Rs}}{\text{. }}61.75 \cr} $$
The final price is lowest in (iii). So, it is the best offer.