Discussion

Match List I with List II.

List I	List II
a. Profit Percentage	I. \(\frac{PRT}{100}\)
b. Loss Percentage	II. \(\frac{(SP-CP)}{CP} \times 100\)
c. Compound Interest	III. \(\left[P\left(1+\frac{r}{100}\right)^{T}-P\right]\)
d. Simple Interest	IV. \(\frac{(CP-SP)}{CP} \times 100\)

Choose the most appropriate answer from the options given below:

Answer: B

The correct matching is a-II, b-IV, c-III, d-I.

Profit percentage is profit over cost price: \(\frac{SP - CP}{CP} \times 100\) (II).
Loss percentage is loss over cost price: \(\frac{CP - SP}{CP} \times 100\) (IV).
Compound interest is the amount minus the principal: \(P\left(1 + \frac{r}{100}\right)^T - P\) (III).
Simple interest is \(\frac{PRT}{100}\) (I).

Profit and loss are both calculated on the cost price; the only difference is which of SP and CP is larger, which is what separates II from IV.

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