1.A sum of Rs 731 is distributed among A, B and C, such that A receives 25% more than B and B receives 25% less than C. What is C’s share in the amount?
(1)Rs 172
(2)Rs 200
(3)Rs262
(4)Rs 272
(1)Rs 172
(2)Rs 200
(3)Rs262
(4)Rs 272
2.Manoj sold an article for Rs 15000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price?
(1)Rs12,500
(2)Rs13,500
(3)Rs12,250
(4)Rs13,250
(1)Rs12,500
(2)Rs13,500
(3)Rs12,250
(4)Rs13,250
3.What will be the compound interest accrued on an amount of Rs 10,000 @20p.c.p.a. in two years if the interest is compounded half-yearly?
(1)Rs4,400
(2)Rs4,600
(3)Rs4,641
(4)Rs 4,680
4.A committee of 3 members is to be selected out of 3 men and 2 women. What is the probability that the committee has at least 1 woman?
(1)1⁄10
(2)9⁄20
(3)9⁄10
(4)1⁄20
5.B and C together can complete a piece of work in 8 days. A and B can complete the same work in 12 days and A and C can complete the same work in 16 days. In how many days can A, B and C together can complete the work?
(1)3 3⁄9
(2)7 5⁄13
(3)7 5⁄12
(4)3 5⁄12
6.The average speed of a car is 1 4⁄5 times the average speed of the bus. A tractor covers 575km in 23 hours. How much distance the car cover in 4 hours of the speed of the bus is twice the speed of the tractor?
(1)340km
(2)480km
(3)360km
(4)450 km
7.A pump can fill a tank with water in 2 hours. Because of the leak, it took 2 1⁄3 hours to fill the tank. The leak can drain all the water of the tank in:
(1)4 1⁄3 hours
(2)7hours
(3)8 hours
(4)14 hours
8.A shopkeeper mixed two verities of rice at Rs. 20/kg and Rs. 30/kg in the ratio 2 : 3 and sell the mixture at 10% profit. Find the price per kg at which he sold the mixture?
(1)Rs.26
(2)Rs.28.8
(3)Rs.28
(4)Rs.28.6
9.The ratio of the present ages of Anju and Sandhya is 13:17 respectively. Four years ago the ratio of their respective ages was 11:15. What will be the respective ratio of their ages six years hence?
(1)3:4
(2)7:8
(3)4:5
(4)6:5
10.A shopkeeper bought 30kg of wheat at the rate of Rs45 per kg. He sold 40% of the total quantity at the rate of Rs50 per kg. Approximately, at what price per kg should he sell the remaining quantity to make a profit of 25% overall?
(1)Rs54
(2)Rs52
(3)Rs60
(4)Rs56
Answers With Explanations:
1. (4)
Let C's share be Rs x.
Then, B gets =0.75 x.
A gets = 1.25×0.75x
x+0.75x+0.9375x=731
2.6875x=731
x=731⁄2.6875 =272
2. (1)
SP=Rs15000
SP after 10% discount= 15000-10%of15000= 15000-1500=Rs13500
Profit on SP= 8%
CP= 13500⁄108 ×100=Rs 12500
3. (3)
CI=10000[{(11⁄10 )×(11⁄10 )×(11⁄10 )×(11⁄10 )}-1]
4.(3)
Probability that the committee has at least one woman
= 1-P(no. of woman in the committee)
= 1-P(all men in the committee)
=1-1⁄10 =9⁄10
5. (2)
(B+C)'s 1 day work= 1⁄8 ...(i)
(A+B)'s 1 day's work= 1⁄12 ...(ii)
(A+C)'s 1 day's work = 1⁄16 ...(iii)
On adding all these three equations,
2(A+B+C)'s one day's work = 1⁄8 +1⁄12 1⁄16 =(6+4+3)⁄48 =13⁄48
(A+B+C)'s one day's work= 13⁄96
∴A, B and C can complete the work in 96⁄13 =7 5⁄13
6. (3)
Speed of the tractor= distance/ time
=575⁄23 =25kmph
∴speed of bus= 50kmph
∴speed of car= 9⁄5 ×50=90kmph
∴distance covered by the car in 4 hours= 4×90=360km
7. (4)
Work done by the leak in 1 hour = (1⁄2 -3⁄7 )=1⁄14
∴leak will empty the tank in 14 hours.
8. (4)
CP of mixture = (20*2+30*3)⁄2+3 =26
SP of the mixture = 1.1×26=28.6
9.(3)
Let the present ages of Anju and Sandhya be 13x and 17x years respectively.
∴13x-4⁄17x-4 =11⁄15
=>187x-44=195x-60
=>195x-187x=60-40
=>x=2
∴Required ratio= (13×2+6):(17×2+6)
=4:5
10.(3)
CP of wheat= 30×45=Rs1350
40% of 30kg =12kg
SP of 12kg = 12×50 = Rs 600
For 25% profit, total SP of all the wheat is 1350×125⁄100 =Rs 1687.5
Remaining wheat (30-12)= 8kg
Rate of remaining wheat = 1087.5⁄18 ≈Rs60
Let C's share be Rs x.
Then, B gets =0.75 x.
A gets = 1.25×0.75x
x+0.75x+0.9375x=731
2.6875x=731
x=731⁄2.6875 =272
2. (1)
SP=Rs15000
SP after 10% discount= 15000-10%of15000= 15000-1500=Rs13500
Profit on SP= 8%
CP= 13500⁄108 ×100=Rs 12500
3. (3)
CI=10000[{(11⁄10 )×(11⁄10 )×(11⁄10 )×(11⁄10 )}-1]
4.(3)
Probability that the committee has at least one woman
= 1-P(no. of woman in the committee)
= 1-P(all men in the committee)
=1-1⁄10 =9⁄10
5. (2)
(B+C)'s 1 day work= 1⁄8 ...(i)
(A+B)'s 1 day's work= 1⁄12 ...(ii)
(A+C)'s 1 day's work = 1⁄16 ...(iii)
On adding all these three equations,
2(A+B+C)'s one day's work = 1⁄8 +1⁄12 1⁄16 =(6+4+3)⁄48 =13⁄48
(A+B+C)'s one day's work= 13⁄96
∴A, B and C can complete the work in 96⁄13 =7 5⁄13
6. (3)
Speed of the tractor= distance/ time
=575⁄23 =25kmph
∴speed of bus= 50kmph
∴speed of car= 9⁄5 ×50=90kmph
∴distance covered by the car in 4 hours= 4×90=360km
7. (4)
Work done by the leak in 1 hour = (1⁄2 -3⁄7 )=1⁄14
∴leak will empty the tank in 14 hours.
8. (4)
CP of mixture = (20*2+30*3)⁄2+3 =26
SP of the mixture = 1.1×26=28.6
9.(3)
Let the present ages of Anju and Sandhya be 13x and 17x years respectively.
∴13x-4⁄17x-4 =11⁄15
=>187x-44=195x-60
=>195x-187x=60-40
=>x=2
∴Required ratio= (13×2+6):(17×2+6)
=4:5
10.(3)
CP of wheat= 30×45=Rs1350
40% of 30kg =12kg
SP of 12kg = 12×50 = Rs 600
For 25% profit, total SP of all the wheat is 1350×125⁄100 =Rs 1687.5
Remaining wheat (30-12)= 8kg
Rate of remaining wheat = 1087.5⁄18 ≈Rs60
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