Question

the net selling price of a dozen pens is rupees 256.50. if successive discounts of 10% and 5% were allowed find the mp​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

MP of dozen pens = Rs. 300

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Case 1

SP of a dozen pens = Rs.256.5

Discount = 10 %

$\boxed{\sf{MP= SP \times \dfrac{100}{100 - Discount \%} }}$

$MP = 256.5 \times \dfrac{100}{100 - 10}$

$MP = 256.5 \times \dfrac{100}{90}$

$MP = \dfrac{25650}{90}$

$MP = 285$

So MP = Rs. 285 [in Case 1]

__________________________________

Case 2

SP of a dozen pens = Rs.285

Discount = 5 %

$\boxed{\sf{MP= SP \times \dfrac{100}{100 - Discount \%} }}$

$MP = 285 \times \dfrac{100}{100 - 5}$

$MP = 285 \times \dfrac{100}{95}$

$MP = \dfrac{28500}{95}$

$MP= 300$

So MP of dozen pens = Rs. 300

__________________________________

Answer 2

Answer:

case 1 ans will be ₹285/- 10% discount

case 2 ans will be ₹300/- 5% discount

See the above picture for complete solution

Hope it helps