Single Choice
Not Set
QTo maintain the same expenditure on rice when the price increases from Rs. 6 per kg to Rs. 8 per kg, how much must a person reduce their consumption of sugar?
ID: #4453
Numbers
164 views
Question Info
#4453Q ID
Not SetDifficulty
NumbersTopic
Your Answer
Choose the Best Option
Click any option to instantly check if you're correct.
Correct Answer
Explanation
To maintain the same expenditure on rice when the price increases from Rs. 6 per kg to Rs. 8 per kg, a person must reduce their consumption of sugar by 25%. To see this, suppose that a person was originally spending X rupees on rice, and consuming Y kg of sugar. Then, the original cost of the sugar can be expressed as 6X rupees/Y kg. When the price of rice increases to Rs. 8 per kg, the person must reduce their consumption of sugar in order to maintain the same expenditure on rice. Let's say they reduce their consumption of sugar to Y - Z kg, where Z is the amount of sugar they need to reduce. The cost of the sugar after the reduction is (8X rupees)/(Y - Z kg). Setting this equal to the original cost of the sugar, we have: (8X rupees)/(Y - Z kg) = 6X rupees/Y kg Solving for Z, we find that Z = (3/4)Y. In other words, the person must reduce their consumption of sugar by 25% in order to maintain the same expenditure on rice when the price increases from Rs. 6 per kg to Rs. 8 per kg
Continue Practice
Share
Share This Question
Challenge a friend or share with your study group.
More from This Topic