maths
posted by arshad .
a man started to play a card game .in the first round he doubled the amount and he gave away a certain amount say P to his friend.In the second round,he tripled the amount left with him after the first round and gavew away an amount 2P to his friends.in the third round he quadrupled the amount left with him after the second round and gave away an amount P to his friend and was finally left with no money.if he gave away a total of RS.160 to his friend,then what was the money left with him?

maths 
Reiny
let the amount he started with be x
after first round he has 2xP
in 2nd round he tripled that and gave away 2P
so has left
6x  3P  2P = 6x  5P
in 3rd round he quadrupled the amount and gave away P
so he has left
24x  20P  P = 24x  21P
amount given away = P + 2P + P = 160
P = 40
but at the end he has nothing left, so
24x  21P = 0
24x  21(40) = 0
x = 35
He started with RS 35
check:
in first round: doubled , gave away P
7040 = 30
in 2nd round: tripled, gave away 2P
90  80 = 10
in 3rd round: quadrupled , gave away P
40  40 = 0
my solution checks out.
Respond to this Question
Similar Questions

Probability
You and a friend play the following game: You pay your friend $3 each turn and then flip a fair coin. It it’s tails, your friend pays you $(2^n), where n is the number of times you’ve flipped the coin, and the game ends. If it’s … 
Maths
Can someone help me with this... Mr and Mrs Lim went shopping with a total of $712.50. After buying some items each, the amount Mrs Lim had left was 4 times the amount she spent and the amount Mr Lim had left was trice the amount he … 
Math
Anne now has a balance of $900 on her credit card, on which 1.5% interest per month is charged. Assume that she makes no further purchases or payments (and that the credit card company doesn't turn her account over to a bill collector). … 
math
Jose was playing a game with marbles.In the first round ,he lost 1/4 of his marbles.In the Second round,he lost 1/3 of his remaining marbles.In the third round,he lost 1/2 of his remaining marbles.He gave 1 marbles to his friend shavana.He … 
maths
at a fairground, the table shows the prbability of winning an amount on a spinner. what is the minimum amount that can be charged to make profit from the game? 
PreCalculus
At time t hours after taking the cough suppressant hydrocodone bitartrate, the amount A, in mg, remaining in the body is given by A=13(0.82)^t. a) What was the initial amount taken? 
Business maths
calculate the amount that will be accumulated after 20 years if $1600 is invested at the beginning of every six months at 13.5% compounded semi annually. Do not round intermediate calculations, just round the final answer to 2 decimal … 
Algebra ASAP
The halflife of krypton91 ^(91Kr) is 10 seconds. At time t = 0 a heavy canister contains 6 g of this radioactive gas. (a) Find a function m(t) = m02^−t/h that models the amount of ^(91)Kr remaining in the canister after t seconds. … 
Probabiliy
Another card game. In a new card game, you start with a wellshuffed full deck and draw 3 cards without replacement. If you draw 3 hearts, you win $50. If you draw 3 black cards, you win $25. For any other draws, you win nothing. (a) … 
Math
Find the accumulated amount A if the principal, P = $3700 is invested at the interest rate r = 7%/year for t = 12.5 years compounded semiannually. Round your answers to two decimal places. a. The accumulated amount is $8544.01. …