Top 100 Aptitude Questions and Answers for Competitive Exams

Q.91. Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?

(A) Rs. 890

(B) Rs. 1335

(C) Rs. 1602

(D) Rs. 1780

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Q.92. Shekhar started a business investing Rs. 25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Shekhar invested another additional amount of Rs. 10,000 and Jatin joined them with an amount of Rs. 35,000. What will be Rajeev’s share in the profit of Rs. 1,50,000 earned at the end of 3 years from the start of the business in 1999?

(A) Rs. 45,000

(B) Rs. 50,000

(C) Rs. 70,000

(D) Rs. 75, 000

(E) None of these

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Problems on Time and Distance

Q.93 A man covers a certain distance at 36 km/ph. How many meters does he cover in 2 minutes?

(A) 1000 mt

(B) 120 mt

(C) 1200 mt

(D) 600 mt 

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Q.94 Walking 5/6 of its usual speed, a train is 10 minutes late. Find its usual time to cover the journey?

(A)20 min

(B) 50 min

(C) 60 min

(D) 40 min

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Q.95. A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and Rs. 1,50,000 respectively. Find the share of each, out of an annual profit of Rs. 56,700.

Solution:

Ratio of shares of A,B and C = Ratio of their investments

= 120000 : 135000 : 150000 = 8 : 9 : 10.

             ∴. A's Share = Rs. =Rs.16800.  

             B's share = Rs.= Rs 18900.

           C's share = Rs.= Rs. 21000.

Q.96. Alfred started a business investing Rs. 45,000. After 3 months, Peter joined him with a capital of Rs. 60,000. After another 6 months, Ronald joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 16,500. Find the share of each.

Solution:

Clearly, Alfred invested his capita for 12 months, Peter for 9 months and Ronald for 3 months.

So ratio of their capitals = (45000×12) : (60000×9) : (90000×3)

                                                = 540000 : 540000 : 270000 = 2 : 2 : 1

             ∴. Alfred's share = Rs. = Rs. 6600;

  Peter's share = Rs. = Rs. 6600;

          Ronald's Share = Rs. = Rs. 3300;

Q.97. A, B and C start a business each investing Rs. 20,000. After 5 months A withdrew Rs.5000, B withdrew Rs. 4000 and C invests Rs. 6000 more. At the end of the year, a total profit of Rs. 69,900 was recorded. Find the share of each. 

Solution: 

Ratio of the capitals of A, B and C

= 20000×5+15000×7 : 20000×5+16000×7: 20000×5+26000×7

= 205000 : 212000 : 282000 = 205 : 212 : 282.

          ∴.A's Share = Rs. =Rs.20500;

B's share = Rs.=Rs.21200;  

             C's share = Rs.=Rs.28200;  

Q.98. A, B and C enter into partnership. A invests 3 times as much as B invests and invests two-thirds of what C invests. At the end of the year, the profit earned is Rs. 6600. What is the share of B?

Solution:

Let C’s capital = Rs. x. Then, B, capital = Rs. x

         A′scapital=Rs. =Rs.2x.  

            2x:x:x=6:2:3.  

            Hence,B′sshare=Rs. =Rs.1200.            

Q.99. Four milkman rented a pasture. A grazed 24 cows for 3 months, B 10 cows for 5 months; C 35 cows for 4 months and D 21 cows for 3 months.If A’s share of rent is Rs. 720, find the total rent of the field.

Solution:

Ratio of shares of A, B, C, D = (24×3) : (10×5) : (35×4) : (21×3)

                                              = 72 : 50 : 140 : 63.

Let total rent be Rs. x. Then, A’s share = Rs.

            ∴ =720↔x=             

            Hence, total rent of the field is Rs. 3250.

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