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प्रश्न
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?
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उत्तर
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.
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