Question

Raja purchases a box and wants to put a price tag on it, in order to get 15% profit on selling the box at 10%
discount on the price written on the tag. For this to happen, what percent greater should the price on the tag be
when compared to the cost price of the box?​

Answer 1

The correct answer is 100.

Step-by-step-explanation:

Let the total boxes purchased be N

If discount is 10%, SP of 1 box = 120*(1-10/100) =Rs.108

If discount is 20%, SP of 1 box = 120*(1-20/100) =Rs.96

Now,

Total SP = Rs.3552

2 dozens = 24 boxes

⇒ 24× 108 +96× (N – 24) =3552

⇒ On solving, N = 34

∴ 34 boxes are sold

If Cost price of 1 box= x ;

Profit by selling 34 boxes = 76/17 %

Then,

⇒ 34*x*(1+76/1700) = 3552

⇒ 1776x = 177600

⇒ x= Rs.100

i.e., CP of 1 box= Rs.100

The complete question is '' Raj purchased some boxes at some price. He was given a discount of 10% by the seller on the first two dozen of boxes purchased and then for the remaining, he got 20% discount. Total bill of Raj amounted to Rs.3552. If the seller made a profit of from him by marking one Box at Rs.120. Find the cost price of one box.

A. Rs. 100

B. Rs. 105

C. Rs. 90

D. Rs. 200

#SPJ2

Answer 2

Answer:

The price on the tag should be 28% more than the cost price.

Explanation:

Given,

Profit Percentage = 15%

Discount percentage = 10%

To find,

what percent greater should the price on the tag be when compared to the cost price

Recall the formulas

S.P = CP (1 + $\frac{ Profit \ percent }{100}$) -----------------(1)

S.P = MP (1 - $\frac{ discount \ percent }{100}$) -------------------(2)

Where S.P is the selling price, C.P is the cost price, and M.P is the marked price

Solution

Comparing the equation(1) and (2) we get

CP (1 + $\frac{ Profit \ percent }{100}$) =  MP (1 - $\frac{ discount \ percent }{100}$)

Substituting profit percent and discount percent in the above equation

CP(1+$\frac{15}{100}$) = MP(1-$\frac{10}{100}$)

CP×$\frac{115}{100}$ = MP ×$\frac{90}{100}$

CP × 115 = MP ×90

MP = $\frac{115}{90} CP$

MP =  1.28CP

MP = CP+0.28CP

MP = CP +$\frac{28}{100}$CP

Hence we have marked price is 28% greater than the Cost Price.

∴ The price on the tag should be 28% more than the cost price.

#SPJ3