2002 · Q47
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 Re. 1 more than they had originally planned. What was the price of the cassettes if the boys contributed equally and in whole number of rupees?
General Mental Ability, Quantitative Aptitude and StatisticsNumber system and arithmetic
- ARs. 220/-
- BRs. 210/-
- CRs. 230/-
- DRs. 240/-
Explanation
Let n boys each pay x rupees: then nx = (n-2)(x+1), which simplifies to n = 2x+2, so the total price is P = nx = n(n-2)/2. The price must lie between Rs 200 and Rs 250 with x a whole number. For n = 22, x = 10 and P = 22x20/2 = Rs 220, which falls in the required range. Hence (A) is correct.