Due to a 30% reduction in the price of sugar, a family buys 32 kg of sugar more so that the expenditure is reduced by only 16% then know the fresh consumption.
Answers
Answer:
Step-by-step explanation:
Let original rate of sugar was Rs x/kg. [expenditure Rs.x and consumption 1kg]
New rate of sugar = Rs(x-30/100×x)/kg= Rs.(7x/10)/kg
New expenditure = Rs.(x+10/100.x) = Rs.(11x/10)
In Rs.(7x/10) the quantity of sugar = 1 kg.
In. Re.1. the. quantity. of sugar. =10/7x kg
In. Rs. (11x/10)the quantity of sugar = (10×11x)/(10×7x)= 11/7kg.
Consumption increased = 11/7 - 1 = 4/7 kg.
Percentage increased in consumption= {(4/7)/1}×100= 400/7. % =57.14 %. Answer.
This is the original answer !
Hope it is correct.
Answer:
192 Kg
Step-by-step explanation:
Let,
Otiginal Price = a
Initial Consumption = b
Initial Expenditure, ab = ₹100 ------ (1)
Change in Price = a - 30% of a = 7a/10
increase in consumption = b + 32 Kg
New Expenditure:
(7a/10) x (b + 32) = ₹100 - 16 % of ₹100 = ₹84
=> (7ab/10) + (224a/10) = 84
=> 7ab + 224a = 84 x 10
=> 700 + 224a = 840 [since ab=100]
=> 224a = 840 - 700
=> a = 140/224 = 5/8 ------(2)
Therefore, value of equation 1 becomes
5b/8 = 100
=> b = 800/5 = 160
i.e., Initial consumption = 160 Kg
and fresh consumption = 160 + 32 = 192 Kg.