pocket money of ishan and raghav are in the ratio 5:7 if the pocket money of both of them is increased by rs.225,then the new ratio will. be 3:4 find the pocket money they have
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Let the pocket money of Ishan and Raghav be
5x and 7x initially.
Pocket money of both has increased by rs 225
so, new pocket money of Ishan is 5x + 225
and that of Raghav is 7x + 225
As, new ratio is 3 : 4
so, (5x+225)/(7x+225) = 3/4
or, 4(5x+225) = 3(7x+225)
or, 20x + 4×225 = 21x + 3×225
or, x = 225(4 - 3 ) = 225×1
so, x = 225
Hence their pocket money is
Ishan : 225×5 = 1125
Raghav : 225×7 = 1575
5x and 7x initially.
Pocket money of both has increased by rs 225
so, new pocket money of Ishan is 5x + 225
and that of Raghav is 7x + 225
As, new ratio is 3 : 4
so, (5x+225)/(7x+225) = 3/4
or, 4(5x+225) = 3(7x+225)
or, 20x + 4×225 = 21x + 3×225
or, x = 225(4 - 3 ) = 225×1
so, x = 225
Hence their pocket money is
Ishan : 225×5 = 1125
Raghav : 225×7 = 1575
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