We often come across such information in our daily life as.
(i) 25% off on marked prices (ii) 10% hike in the price of petrol
Let us consider a few such examples.
Example : The price of a scooter was Rs. 34,000 last year. It has increased by 20% this year. What is the price now?
Amita said that she would first find the increase in the price, which is 20% of Rs. 34,000, and then find the new price
20% of Rs. 34000 = Rs. `20/100 xx 34000`
= Rs. 6800
New price = Old price + Increase
= Rs.34,000 + Rs. 6,800
= Rs. 40,800
Sunita used the unitary method. 20% increase means,Rs.100 increased to Rs.120. So, Rs. 34,000 will increase to?
Increased price = Rs. `120/100 xx 34000`
Similarly, a percentage decrease in price would imply finding the actual decrease followed by its subtraction the from original price.
Suppose in order to increase its sale, the price of scooter was decreased by 5%. Then let us find the price of scooter.
Price of scooter = Rs. 34000
Reduction = 5% of Rs. 34000
`= Rs. 5/100 xx 34000 = Rs. 1700`
New price = Old price – Reduction
= Rs.34000 – Rs. 1700 =Rs. 32300
Shaalaa.com | Finding the Increase or Decrease Per cent
Mohan's income is Rs 15500 per month. He saves 11% of his income. If his income increases by 10%, then he reduces his saving by 1%, how much does he save now?