49. If the price of sugar increases by 20%
intends to spend only an additiona
then by how much percent Wine
quantity of sugar purchased?
gar increases by 20% and Vaibhav
to spend only an additional 10% on sugar,
nuch percent will he reduce the
(2) 15 2/3%
(1) 12 2/3 %
(3) 8 1/3%
(4) 12%
Answers
Answer:
The correct option is (3): 8 1/3 % i.e. 25/3 %
Step-by-step explanation:
This question can be solved by the following method.
r=r1 + r2 + r1r2 /100
where r = 10% and r1=20%
Now put the values in the above formula .
10=20+r2+20r2/100
20 - 10=r2 + r2/5
10=6 r2/5
50=6 r2
r2=50/6
r2=25/3 %
Thus the percentage quantity of sugar reduced will be 25/3 %.
if Price of sugar increase by 20% but expenses increases by 10% only then Consumption should be reduced by 8 1/3 %
Step-by-step explanation:
Let say Price of Sugar = P Rs kg
Consumption of sugar by Vaibhav = C kg
Cost = CP Rs
Price of Sugar increased by 20 %
Then Price of Sugar = P + (20/100)P = 1.2P rs /kg
Vaibhav to spend only an additional 10% on sugar,
=> Vaibhav to spend = CP + (10/100)CP = 1.1CP
Sugar to be Consumed = 1.1CP/1.2P = 11C/12
Reduction in Consumption of Sugar = C - 11C/12 = C/12
% reduction in Consumption = 100 * (C/12)/C
= 100/12
= 25/3
= 8 1/3 %
Consumption should be reduced by 8 1/3 %