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If 662366\frac{2}{3}6632​​% goods are sold at a 30% profit, 25% goods are sold at a 16% profit and the rest at a 48% loss, there is a profit of ₹180.
Question

If 662366\frac{2}{3}​% goods are sold at a 30% profit, 25% goods are sold at a 16% profit and the rest at a 48% loss, there is a profit of ₹180. The cost price of the goods is:

A.

₹1,080

B.

₹840

C.

₹900

D.

₹720

Correct option is C

Given:

6623%66\frac{2}{3}\%​  goods sold at 30% profit

25% goods sold at 16% profit

Remaining (100% − 66⅔% − 25% = 8⅓% or 112112 112\frac{1}{12}​) sold at 48% loss

Overall profit = ₹180

Formula Used:

Profit/Loss=C.P. share×Profit/Loss%\text{Profit/Loss} = \text{C.P. share} \times \text{Profit/Loss\%}​​

Solution:

Let CP = ₹100

30% profit on 6623%66\frac{2}{3} \% of 100 = ₹66.67

Profit = 66.67×3010066.67 \times \frac{30}{100}​ = ₹20

16% profit on 25% of 100 = ₹25

Profit = 25×1610025 \times \frac{16}{100}​ = ₹4

48% loss on remaining = 100 − 66.67 − 25 = ₹8.33
Loss = 8.33×481008.33 \times \frac{48}{100}​ = ₹4

Net Profit = ₹20 + ₹4 − ₹4 = ₹20

But actual profit = ₹180

Now scale = 10020×180\frac{100}{20} \times 180​ = ₹900

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