Sugal went on picnic along with his friends to Shimla. Sugal’s mother gave him Rs. 4xy2 and his father gave him Rs.(5xy2 + 10) Out of the total money during his trip to Shimla he spent Rs. (10 − 3xy2). What percentage of the total money is left unspent with Sugal?
Answers
Step-by-step explanation:
Given:-
Sugal went on picnic along with his friends to Shimla. Sugal’s mother gave him Rs. 4xy2 and his father gave him Rs.(5xy2 + 10) Out of the total money during his trip to Shimla he spent Rs. (10 − 3xy2).
To find:-
What percentage of the total money is left unspent with Sugal?
Solution:-
Money given by Sugal's mother for his picnic = Rs. 4xy²
Money given by Sugal's father for his picnic =
Rs. (5xy²+10)
Total money given by Sugal's mother and father
=4xy²+(5xy²+10)
=>4xy²+5xy²+10
=>9xy²+10
Total money is given by Sugal's parents for his picnic= Rs. (9xy²+10)
Money spent by Sugal during his trip to Shimla
= Rs. (10-3xy²)
Remaining money = Total money is given - Spent money
=>Remaining money = (9xy²+10)-(10-3xy²)
=>9xy²+10-10+3xy²
=>(9xy²+3xy²)+(10-10)
=>(9+3)xy²+0
=>12xy²
Unspent money by Sugal = Rs. 12xy²
Let the percentage of the total money is left unspent with Sugal be A
Unspent money = A%of Total money
12xy²= A% of (9xy²+10)
=>12xy²=(A/100)×(9xy²+10)
=>12xy²/(9xy²+10)=A/100
=>A=12xy²×100/(9xy²+10)
=>A=1200xy²/(9xy²+10)
Required percentage
=[1200xy²/(9xy²+10)]%
Answer:-
the percentage of the total money is left unspent with Sugal is
[1200xy²/(9xy²+10)]%