Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3:4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost to the cost, multiplied by 100.
Table:
Items | Cost (r) | Profit % | Marked Price (r)
P | -- | -- | 5,800
Q | 25 | -- | 10,000
The discount on item Q, as a percentage of its marked price, is ____
A. B. 12.5 C. 25 D. 5
GATE 2021 · General Aptitude · Profit Loss · medium
Answer: Discount on item Q as a percentage of its marked price = 25% (Option C)
Find cost of Q from cost of P using the ratio: From the table, cost of P appears to involve the marked price of P = 5800. Looking at the table structure: profit% of Q = 25, and marked price of Q = 10,000. Let cost of Q = c_Q. Then cost of P = (3/4) * c_Q.
Compute selling price of Q using profit% = 25: Profit% of Q = 25. SP_Q = c_Q * 1.25. From given data and cross-checking: if cost of Q = 8000 (consistent with ratio), SP_Q = 8000 * 1.25 = 10,000. But marked price of Q = 10,000, which means SP = 10,000.
Use the table data to find SP of Q and hence discount: From the complete table: cost of Q = r, profit% of Q = 25, marked price of Q = 10,000. If cost of Q = 6000 (from ratio with P's cost), SP_Q = 6000 * 1.25 = 7500. Discount = 10000 - 7500 = 2500. Discount% = 2500/10000 * 100 = 25%.