Question

Sandeep filled water in `4/7` of an empty tank. After that, Ramakant filled the `1/4` part more of the same tank. Then Umesh used the `3/14` part of the tank to water the garden. If the tank has a maximum capacity of 560 litres, how many litres of water will be left in the tank?

Answer 1

Sandeep filled water = `4/7`

Ramakant filled water = `1/4`

Water used by Umesh = `3/14`

Capacity of water tank = 560 litres.

Water left in the tank = [Water filled by Sandeep + Water filled by Ramakant] - Water used by Umesh

= `[4/7 + 1/4] - 3/14`

= `[(4 xx 4)/(7 xx 4) + (1 xx 7)/(4 xx 7)] - 3/14`

= `[16/28 + 7/28] - 3/14`

= `[(16 + 7)/28] - 3/14`

= `23/28 - 3/14`

= `23/28 - (3 xx2)/(14 xx 2)`

= `23/28 - 6/28`

= `(23 - 6)/28`

Water left in the tank = `17/28`

∴ Remaining water = `17/28 xx 560`

∴ Remaining water = 340 litres.

∴ The tank will be left with 340 litres of water.