Rajesh bought P number of sports goods for Rs.9000. If each item was cheaper by Rs.30 then with the same amount he could have bought 50 more items than P. Find the number of items bought by Rajesh ?
Rajesh have bought P items for Rs.9000.
Then the cost of each item = Rs.9000/P If each item was cheaper by Rs.30, he could have bought 50 more items.
Therefore, with Rs.30 discount, the amount of each item = Rs.9000 / X + 50 ...(2)
he bought 50 more items when cost of each item is less by Rs.30 then we have
9000/P - 9000/P + 50 = 30
1/P - 1/P + 50 = 30/9000
50 / P(P + 50) = 1/300
P(P + 50) = 15000
P2 + 50P = 15000
P2 + 50P - 15000 = 0
(P+150)(P-100) = 0
P = -150 or P = 100
We don't take negitive value P = 100
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