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A sum of Rs 700 is to be used to give se...

A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of each of the prizes.

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Let first prize be of Rs. 'a'.
Then, other prizes will be of `Rs. (a-20),Rs.(a-40),Rs. (a-60),Rs.(a-80),Rs.(a-100)` and `Rs. (a-120)`
`:. a+(a-20)+(a-40)+(a-60)+(a-80)+(a-100)+(a-120)=700`
`rArr 7a-420=700`
`rArr 7a=1120`
`rArr a=160`
`:.` Amount of prizes=Rs. `160, Rs. 140, Rs. 120, Rs. 100, Rs. 80, Rs. 60, Rs. 40.`
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