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Q.1) A sum of money is divided in the ratio 3:5. If the larger part is Rs 315, find the smaller part.

Q.2) A sum of money is divided between Marry and Jean in the ratio 4:7. If Jean's share is Rs. 595, find the total amount. Q.3) Two numbers are in the ratio 5:8. If their difference is 48, find the number. Q.4) A certain sum of money is divided into three parts in the ratio 5:7:8. If the first part is Rs.225, find the total amount and the other two parts.

1) Sum of the ratio = 3 + 5 = 8 5/8 of x = 315 5x = 315 * 8 5x = 2520 x = 2520/5 = Rs 504 Total money = Rs 504 3/8 * 504 = Rs 189 The smaller part is Rs 189. 2) Sum of the ratio = 4 + 7 = 11 7/11 of x = 595 7x = 595 * 11 7x = 6545 x = 6545/7 x = Rs 935 Total money = Rs 935 3) 8x - 5x = 48 3x = 48 x = 48/3 x = 16 5x = 16 * 5 = 80 8x = 16 * 8 = 128 The 2 numbers are 128 and 80. 4) Sum of the ratios = 5 + 7 + 8 = 20 5/20 of x = 225 5x = 225 * 20 5x = 4500 x = 4500/5 x = Rs 900 Total money = Rs 900 7/20 * 900 = Rs 315 8/20 * 900 = Rs 360 The total money is Rs 900. The other 2 parts are Rs 315 and Rs 360.

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