XYZ publication started with 2000 novels The printing cost packaging cost and delivery cost of each ...........

Quant (SSC) Percentage

XYZ publication started with 2000 novels. The printing cost, packaging cost and delivery cost of each novel is Rs. 150, Rs. 20 and Rs. 50 respectively. If 40% of the novels are sold at 3/4th of the cost price, then how much percent above the cost price should the remaining novels be sold to get 20% profit on total expenditure?

20%

30%

40%

50%

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Explanation:

Ratio of the quantity of novels sold = 40% /60%
40% novels are sold at 3/4^th of the cost price.
So, Loss on 40% of novels = 25%
= 25% (C.P is taken as Rs. 100)
Let us take profit percentage of 60% novels as x%
By Mixture and Allegation,
Profit of 40% of novels Profit of 60% novels
            – 25%                      x%
                          \                   /
20%
                                 /                \
                      (x – 20)        20 – (– 25) = 45

Ratio = 2 : 3
So,
x - 20 /45 = 2/3
x = 50%