Question

UNIT-O2 (Topic/Theme/Concept: Fraction)
On Sunday, Aditi planned to help her
mother. Water storage tank of her house
has a capacity of x litres. She used (1/5)th of
the water or kitchen and use (2/5)th of the
water for bathing and washing clothes.
After using the water for kitchen, bathing
and washing, she measured the remaining
water in the water tank and found 200 litres
of water. She used the remaining water for
watering plants in the garden of house.​

Answer 1

Fractions

Given:

• Water storage capacity = x litres
• Used for kitchen: 1/5 th of x litres
• Used for bathing and washing clothers: 2/5 th of x litres

To find: Capacity of the water storage tank

Solution:

• Used for kitchen = 1/5 * x litres = x/5 litres
• Used for bathing and washing clothes = 2/5 * x litres = 2x/5 litres

Then remaining water = x - (x/5 + 2x/5) litres

= x - 3x/5 litres

= (5x - 3x)/5 litres

= 2x/5 litres

By the given condition,

remaining water = 200 litres

or, 2x/5 = 200

or, x = 200 * 5/2

or, x = 500

Answer: the capacity of the water storage tank is 500 litres.