Let third number be N
Then, first number = 70% of N = 7N/10 and,
Second number = 63% of N = 63N/100
Difference = 7N/10 - 63N/100 = 7N/100
? Required percentage = (7N/100) x (10/7N) x 100 % = 10%
? 721/2% of N = 87
? {(145/2) x N} / 100 = 87
? N = (87 x 2 x 100) / 145 = 120
? 1371/2% of N = 33
? {(275/2) x N} / 100 = 33
? N = (33 x 2 x 100) / 275 = 24
Let his income be Rs. N, then N - 5% of N - 20% of 95% of N = 1919
? N - N/20 - (20 x 95 x N)/(100 x 100) = 1919
? N - N/20 - 19N/100 = 1919
? 100N - 5N - 9N = 191900
? N = 191900 / 76 = 2525
Let salary be Rs. A, then A - 15 % of A - 30% of 85% of A = 2380
? A - 15A/100 - (30 x 85 x A)/(100 x 100) = 2380
? 200A - 30A - 51A = 2380 x 200
? 119A = 2380 x 200
? A = (2380 x 200)/199 = 4000
CP of the chair which is sold at 25% of profit = Rs 4000/ (1+ 25%)
= Rs 4000/1.25
= Rs 3200
Now given, that sum of CP pf table and chair= sum of SP of table and Chair
? 8000= 3200 + CP of Table
? CP of Table = Rs 4800
? Loss on Cost price of table = Rs 4800- Rs 4000= Rs 8000
? Loss % = 8000/4800 = 16.66%
? (62% of N - 38% of N) =144
? 24% of N = 144
? N = (144 x 100)/24 = 600
Reduction in consumption = (20/120) x 100% = 50/3%
? Reduction in consumption /Original consumption = (50/3) / 100 = 1/6 = 1 : 6
Let tax = Rs. 100 and Consumption = 100 units
Original expenditure = Rs. (100 x 100) = 10000
New expenditure = Rs. (120 x 80) = Rs. 9600
? Decreased in expenditure = (400 x 100)/1000 % = 4%
Alcohol in 15 litres =(20 x 15)/100 litres = 3 litres
Now, alcohol in 18 litres = 3 litres
? strength of alcohal =(3/18) x 100 % = 162/3%
Let price = Rs. 100, sale = 100
Then sale value = Rs. (100 x 100) = Rs. 10000
New sale value = Rs. (70 x 120) = Rs. 8400
Decrease% = (1600/10000) x 100 % = 16%
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