Matching List-I with List-II: Calculations

We need to calculate the values for each item in LIST-I and match them with the corresponding values in LIST-II.

Calculating Selling Price (A)

Given: Cost Price (C.P.) = Rs 600, Profit = 25%

Calculation:

• Profit Amount = 25% of C.P. = $0.25 \times 600 = 150$
• Selling Price (S.P.) = C.P. + Profit Amount = $600 + 150 = 750$

Match: A corresponds to Rs 750, which is item II in LIST-II.

Determining Cost Price (B)

Given: Selling Price (S.P.) = Rs 1680, Loss = 20%

Reasoning: If there is a 20% loss, the S.P. is 80% of the C.P. ($100\% - 20\% = 80\%$).

Calculation:

• $0.80 \times \text{C.P.} = 1680$
• C.P. = $\frac{1680}{0.80} = \frac{16800}{8} = 2100$

Match: B corresponds to Rs 2100, which is item IV in LIST-II.

Finding Selling Price with Discounts (C)

Given: Marked Price (M.P.) = Rs 1500, Successive Discounts = 20% and 10%

Calculation:

• Price after first discount (20%) = $1500 \times (1 - 0.20) = 1500 \times 0.80 = 1200$
• Selling Price (S.P.) after second discount (10%) = $1200 \times (1 - 0.10) = 1200 \times 0.90 = 1080$

Match: C corresponds to Rs 1080, which is item I in LIST-II.

Calculating Cost Price from Profit (D)

Given: Difference between C.P. and S.P. = Rs 240, Profit = 20%

Reasoning: The difference between C.P. and S.P. is the profit amount. So, Profit = Rs 240.

Calculation:

• Profit = 20% of C.P.
• $240 = 0.20 \times \text{C.P.}$
• C.P. = $\frac{240}{0.20} = \frac{2400}{2} = 1200$

Match: D corresponds to Rs 1200, which is item III in LIST-II.

Final Matching

Based on the calculations:

• A matches with II (Rs 750)
• B matches with IV (Rs 2100)
• C matches with I (Rs 1080)
• D matches with III (Rs 1200)

Therefore, the correct matching is A-II, B-IV, C-I, D-III.