d) Mrs. Sharma fixed the price of cosmetic items 30 % above the cost price. When
she sold an item at 25 % discount, there was a loss of Rs 15. Find the cost price
and marked price of the item.
I will amrk you branliest if correct!
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Answer:
600, 780
Step-by-step explanation:
SHORT METHOD
Cp. Mp. Sp
10. 13
4. 3
-------------------------
40. 52. 39
1 => 15
Cp = 40 => 600
Mp = 52 => 780
LONG METHOD
(M.p-C.p)/C.p = 30/100 = 3/10
10M.p = 13C.p or M.p : C.p = 13 : 10. (1)
(M.p-S.p)/M.p = 25/100 = 1/4
3M.p = 4S.p or M.p : S.p = 4 : 3. (2)
Multiply (1) by 4 and (2) by 13
Then M.p : S.p : C.p = 52 : 39 : 40
(Cp - S.p) = 15
40x - 39x = 15
x=15
40x = 600
52x = 780
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