15) a sum of rs. 3115 is divided among a, b and c so that if rs. 25, rs. 28 and rs. 52 be diminshed from their sharesrespectively, the remainders shall be in the ratio 8:15:20. find the share of each.
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Given remainders shall be in the ratio 8:15:20 i.e., 8x,15x,20x
Also givenrs. 25, rs. 28 and rs. 52 be diminshed from their shares respectively.So.if we add them to thier individual shares respectively and sum up ,it will result in 3115
i.e., 8x+25+15x+28+20x+52=3115
ON solving this equation we get x=43
HEnce their original shares are 8x=8*43=344 ; 15x=15*43=645 ; 20x=20*43=860 are their actual shares
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