Question
A group of boys decided to buy a few cassettes whose
price was between Rs.200/- and Rs.250/-. But at the time of purchase, two of the boys declined to contribute as a result of which the remaining boys had to pay Rs. 1/- more than they had originally planned. What was the price of the cassettes if the boys contributed equally and in the whole number of rupees?Solution
Let the total number of boys= Y Let the price of cassettes = Rs. C According to question, (C/(Y-2)}-{C/Y} = 1 (CY - CY + 2C)/ Y(Y-2) = 1 2C = Y2 - 2Y So, if we put the value of Y = 22. (We also know C to be between 200 and 250.) Then 2C = =(22)2-2(22) 2C= 48- 44 2C= 440 C = 220. So, the cost price of the cassettes is Rs.220
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