Ratio of number of male of company X to company Y is 8 : 5. The ratio of female to male of company X and company Y is 3 : 4 and 7 : 5 respectively. The difference between number of female of company X and company Y is 150, then find total number of male and female in company Y ?
2700
2200
1800
1500
1200
Option C Let the number of male of company X and Y = 8a and 5a number of male and female of company X = 4a and 3a number of male and female of company Y = 5a and 7a The number of male and female of company X = 8a and 6a difference = 7a – 6a = 150 a = 150 sum of number of male and female of company Y = 5a + 7a = 12a = 12 * 15 = 1800
A and B entered into a partnership business with initial investments of rs.4000 and rs.5000 respectively. After 6 months A and B withdrew rs.1000 and rs.2000 respectively, while C joined with them capital of 4x. If after 14 months, C received rs.4000 as profit share out of total profit of rs.12500, then find how much amount invested by C ?
4000
4500
4800
6000
3200
Option D Profit sharing ratio of A, B and C = (4000 * 6 + 3000 * 8) : (5000 * 6 + 3000 * 8) : 4x * 8 = 48000 : 54000 : 32x profit of A and B = 12500 – 4000 = 8500 32x/102000 = 4000/8500 x = 1500 C invested = 4 * 1500 = 6000
Rohit invested rs.100x in a scheme offering compound interest at the rate of 20% p.a and after two years he again invested rs.80x in the same scheme. He received rs. 1243.2 as total interest after 3 years. If he rs.120x is invested at 10% p.a simple interest for 4 years the find how much interest he received ?
1128
672
845
862
920
Option B Compound interest after 2 years = 100x * 120/100 * 120/100 – 100x = 44x now total principal = 100x + 44x + 80x = 224x CI received after one year = 224x * 20/100 = 44.8x total CI after 3 years = 88.8x 88.8x = 1243.2 x = 14 If he received 120x at 10% p.a in SI for 4 years 120 * 14 * 40/100 = 672
The ratio of milk and water in Jar A is 5 : 3 and total mixture of container A is 480 liters. Jar B contains mixture of water to milk in the ratio of 7 : 9. Total mixture of jar A and B poured into another jar C such that quantity of milk in jar C is 60% of total mixture. Find the quantity of mixture in jar B ?
440 lt
480 lt
380 lt
240 lt
320 lt
Option E Quantity of milk in jar A = 480 * 5/8 = 300 quantity of water in jar B = 480 * 3/8 = 180 let the quantity of milk and water in jar B = 9x and 7x 300 + 9x = (480 + 16x) * 60/100 1500 + 45x = 48x + 1440 3x = 60 x = 20 total mixture in jar B = (9x + 7x) * 20 = 320 liters
A man deposited rs.8000 in a bank offering compound interest of 20% p.a compound annually for first 1.5 years and after 1.5 years he offering simple interest 50% p.a for rest of the time. If at the end of 1.5 years, he withdrew rs.3560, then how much amount received by him at the end of 3 years ?
12400
10500
18000
12250
15240
Option D Rate of compound interest after 1.5 years = 20 + 10 + 20 * 10/100 = 32% total amount after 1.5 years = 8000 * 132/100 = 10560 remaining amount after withdrawal by him = 10560 – 3560 = 7000 simple interest received for rest of time = 7000 * 1.5 * 50/100 = 5250 total amount received = 7000 + 5250 = 12250
Directions : What will come in place of questions (?) marks in the following questions given below ? 30% of 168 + √1024 + 42 = ?
