Question

A mango and an
orange cost Rs. 20
and
Rs. 10
respectively. Assume
the price of a mango
is increased by 20 %
and price of an
orange is increased
by 25 %. A person
wants to buy 10
mangoes and
5
oranges. Then what
is the percentage
change in the total
amount spent by
him/her
after
increase in the
price?
16​

Answer 1

Question:

A mango and an orange cost Rs. 20  and  Rs. 10  respectively. Assume  the price of a mango  is increased by 20 %  and the price of an  orange is increased  by 25 %. A person  wants to buy 10  mangoes and  5  oranges. Then what  is the percentage  change in the total  amount spent by  him/her  after  increase in the  price?

SOLUTION:

Price of  10  mangoes  =  20  ×  10  =  200

Price of  5  oranges  =  10  ×  5  =  50

Now,

Total amount before the increase in price  

= 200  +  50  = 250

 

So, after the price increased,

Price of  10  mangoes are

$= (20+\frac{20}{100} \times 20) \times 10$

= (20 + 4) × 10

= (24) × 10

= 240

Now,

Price of  5 oranges are

$= (10+\frac{25}{100}\times 10) \times 5$

= 12.5 × 5

= 62.5

So,

The total amount after an increase in price,

= 240 + 62.5  = 302.5

Now,

The percentage change in price will be

$= \frac{302.5-250}{250} \times 100$

$= \frac{525}{25\not0 \times 1\not0} \times 1\not0\not0$

$= \boxed{21\%}$

Hence,

21% is the percentage  change in the total  amount spent by  him/her  after  increase in the  price.