Question
A person named 'P' purchased a
table for Rs. _____ and a bed for Rs. 1500. He marked the price of the table 20% higher than its cost price and the bed 25% higher than its cost price, offering a discount of Rs. 125 on the bed. The table was sold for Rs. _____ , and the profit earned on the table was equal to the profit earned on the bed. Which of the following options correctly fills the blanks in the question? I. 1000, 1200 II. 1600, 1850 III. 1300, 1560 IV. 1400, 1650Solution
ATQ, CP of Table = 'a' Rs., CP of Bed = 1500 Rs. MP of Table = 1.2a Rs., MP of Bed = 1.25 × 1500 = 1875 Rs. SP of Bed = 1875 – 125 = 1750 Rs. Profit = 1750 – 1500 = 250 Rs. SP of Table = a + 250 Rs. a = 1000, SP of Table = 1000 + 250 = 1250 Rs. [In option SP = 1200] a = 1600, SP of Table = 1600 + 250 = 1850 Rs. [in option SP = 1850] a = 1300, SP of Table = 1300 + 250 = 1550 Rs. [in option SP = 1560] a = 1400, SP of Table = 1400 + 250 = 1650 Rs. [in option SP = 1650] Hence, Only II & IV [since only in these 2 options profit is Rs.250]
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