If the difference between the cost price of item C and E is Rs. 640 and profit earned onitem C and E is 20% and 10% respectively. find the difference between the marked price ofboth iterns, if the discount given on both items is 20% each
Answers
Answer:
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Solution :-
Let us assume that, cost price of Item C is Rs. C and cost price of item E is Rs. E
So,
→ C - E = 640 ---------- Eqn.(1)
also,
→ SP of item C = C * 1.2 = Rs. 1.2C
→ SP of item E = E * 1.1 = Rs. 1.1 E
then,
→ MP of item C = (SP * 100) / (100 - Discount %) = (1.2C * 100)/80 = Rs. (3C/2)
→ MP of item E = (1.1E * 100)/80 = Rs. (11E/8)
therefore,
→ (3C/2) - (11E/8)
→ (12C - 11E)/8
→ {12C - 11(C - 640)}/8
→ {12C - 11C + 7040)/8
→ (C + 7040)/8
→ Rs. (C/8 + 880)
Method 2) :-
Let CP of item C is Rs. x .
So,
→ CP of item C = Rs. x
→ Profit = 20%
→ SP of item C = Rs. 1.2x
and,
→ CP of item E = Rs. (x - 640)
→ Profit = 10%
→ SP of item E = Rs. 1.1(x - 640) = Rs.(1.1x - 704)
Now,
→ SP of item C = Rs. 1.2x
→ Discount = 20%
→ MP of item C = (1.2x * 100)/80 = Rs. 1.5x
and,
→ SP of item E = Rs. (1.1x - 704)
→ Discount = 20%
→ MP of item C = [(1.1x - 704) * 100)/80 = 1.25(1.1x - 704) = Rs.(1.375x - 880)
then,
→ Required difference = 1.5x - (1.375x - 880) = (0.125x + 880) = Rs.(x/8 + 880)
therefore, we can conclude that, the difference between marked price of both items will depend upon the cost price of item C.
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