4
A certain number of capsules were purchased for Rs. 216. Fifteen more capsules could have been purchased in the same amount if each capsule was cheaper by Rs.10 What, was the original number of capsules purchased ?
- A6
- B14
- C8
- D12
Answer not set
Discussion 1
Log in or create a free account to reply and vote.
0
CCommunity
Solution
cost of 1 capsule = Rs. x
Total capsules purchased = n
According to the question :-
n*x = 216..........................(1)
(n+15)*(x-10) = nx
nx + 15x - 150 - 10n = nx
3x - 2n = 30
x = $\frac{30+2n}{3}$
substituting x in eqn (1)
$\frac{30+2n}{3}$ * n = 216
30n + 2$n^2$ = 648
(n+27)(n-12) = 0
n =12
originally 12 capsules were purchased
cost of 1 capsule = Rs. x
Total capsules purchased = n
According to the question :-
n*x = 216..........................(1)
(n+15)*(x-10) = nx
nx + 15x - 150 - 10n = nx
3x - 2n = 30
x = $\frac{30+2n}{3}$
substituting x in eqn (1)
$\frac{30+2n}{3}$ * n = 216
30n + 2$n^2$ = 648
(n+27)(n-12) = 0
n =12
originally 12 capsules were purchased