Q1. A person invested Rs 4400 in two parts one at 6% and the other at 10% rate of interest. If his overall gain is 9%, find the money invested at 10% interest.
(a) 4400
(b) 3300
(c) 5500
(d) 3500
(e) 6000
Q2. The average age of P and Q is 20 years. If R were to replace P, the average would be 19 and if R were to replace Q, the average would be 21. What are the age of P, Q and R?
(a) 22, 18, 20
(b) 20, 20, 18
(c) 18, 22, 20
(d) 18, 20, 22
(e) None of these
Q3. 3 years ago, the average age of a family of 5 members was 17 years. With the birth of a new baby, the average age of six members remains the same even today. Find the age of the new baby.
(a) 1 year
(b) 2 year
(c) 3/2 year
(d) 4 year
(e) None of these
Q4. In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for?
(a)160
(b)175
(c)180
(d)195
(e) None of these
Q5. David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?
(a)19
(b)28
(c)30
(d)37
(e) None of these
Q6. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 66 2/3% of the number of students of 8 years age which is 96. What is the total number of students in the school?
(a) 172
(b) 180
(c) 200
(d) 190
(e) None of these
Q7. If the length, breadth and height of a cuboid is increased by 10%, 20%, 30% respectively. Then find the percentage increase in the volume of the cuboid?
(a) 71.6%
(b) 60%
(c) 171.6%
(d) Can’t be determined
(e) None of these
Q8. By selling 88 meters of cloth a man loses the selling price of 22 meters. Find the loss per cent.
(a) 20%
(b) 25%
(c) 30%
(d) 35%
(e) None of these
Q9. A sells a tube to B at a profit of 25% and B sells it to C at profit of 20%. If C pays Rs 450 for it, what did A pay for it?
(a) Rs 240
(b) Rs 247.5
(c) Rs 300
(d) Rs 500
(e) None of these
Q10. A, B and C started a business investing Rs 9000, 12000, 10000 respectively. A kept the money for whole year. B took his entire amount after 3 months and C with drew 3000 Rs after 3 months. If after a year, the total profit was Rs 7,900, what was A’s share in it?
(a) Rs 4,000
(b) Rs 3,600
(c) Rs 3900
(d) Rs 3500
(e) None of these
Q11. A lent Rs 2500 to B for 4 years and Rs 4000 to C for 3 years on simple interest at the same rate of interest and received Rs 4400 in all from both of them as interest. The rate of interest per annum is:
(a) 25%
(b) 17%
(c) 22%
(d) 20%
(e) None of these
Q12. A sum of Rs 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs 362.50 more is lent but at the rate twice the former. At the end of the year, Rs 29 is earned as interest from both the loans. What was the original rate of interest?
(a) 3.6%
(b) 4.5%
(c) 5%
(d) 3%
(e) None of these
Q13. The difference between the simple interest received from two different sources on Rs 1500 for 3 years is Rs 1.350. The difference between their rates of interest is:
(a) 0.01%
(b) 0.02%
(c) 0.03%
(d) 0.3%
(e) None of these
Q14. An amount of Rs 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and the second, 13% p.a. If the total interest at the end of one year is 10%, then the amount invested in each share was:
(a) Rs 52,500, Rs 47,500
(b) Rs 75,000, Rs 25,000
(c) Rs 72,500, Rs 27,500
(d) Rs 82,500, Rs 17,500
(e) None of these
Q15. Ram purchased a Maruti for Rs 200,000 then, find the difference in the final depreciated values in 2 years for 2 cases, where in one case depreciation is valid for original value and in another case depreciation is valid for remaining value and the rate of depreciation is 10% per year.
(a) Rs 3000
(b) Rs 2000
(c) Rs 1500
(d) Rs 1800
(e) None of these
SOLUTIONS:
S2. Ans.(a)
Sol. Given P + Q = 40 …(i)
R + Q = 38 …(ii)
P + R = 42 …(iii)
Adding all the three equations we have,
P + Q + R = 60 …(iv)
Solving these equations, we have,
R = 20 years, Q = 18 years and P = 22 years.
S3. Ans.(b)
Sol. Sum of present age of the six members = (17 × 6) = 102 years.
Average of the present age of the 5 members (excluding baby) = 17 + 3 = 20 years.
Sum of present ages of the 5 members = 5 × 20 = 100 years.
⇒ Age of the baby = 102 – 100 = 2 years.
S4. Ans.(b)
Sol. Suppose the man works overtime for x hours.
Now, working hours in 4 weeks = (5 x 8 x 4) = 160.
160 x 2.40 + x X 3.20 = 432
3.20x = 432 - 384 = 48
x = 15.
Hence, total hours of work = (160 + 15) = 175.
S5. Ans.(c)
Sol. Suppose their paths cross after x minutes.
Then, 11 + 57x = 51 - 63x 120x = 40
x = 1
3
Number of floors covered by David in (1/3) min. = 1 x 57 = 19.
3
So, their paths cross at (11 +19) i.e., 30th floor.
S6. Ans.(c)
Sol. Let the number of students be x. Then total number of students of 8 years and above 8 years
= (100 – 20)% of x = 80% of x
⇒ 80% of x = 96+2/3×96⇒80/100 x=160
⇒ x = 200
S7. Ans.(a)
Sol. Initial volume = l × b × h. Increased volume will be equal to 1.1l ×1.2b ×1.3h = 1.716lbh. Therefore percentage increase in volume will be given by the expression ((1.716 - 1) ×lbh)/lbh×100=71.6%
S8. Ans.(a)
Sol. We know C.P – loss = S.P. Hence we get the relation as, C.P of 88m – S.P. of 22m = S.P of 88m. Hence S.P of 110m = C.P of 88m. Therefore ratio of S.P : C.P :: 4 : 5. Therefore there will be loss and given by loss % =(5 - 4)/5×100=20%.
S9. Ans.(c)
Sol. Let A paid = Rs x
120% of 125 % of x = 450 ⇒ 120/100×125/100×x=450
⇒ x = Rs 300
S10. Ans.(b)
Sol. In partnership problems profit earned is directly proportional to the product of Investment and Time period for which investment was made in the partnership business.
Required ratio of profit distribution among A, B, and C respectively will be as followed,
= 9 × 12: 12 × 3: 10 × 3 + 7 × 9 = 36: 12:31,
hence A will get 36/(36 + 12 + 31)×7900= Rs 3600.
S13. S.13 Ans.(c)
Sol. Difference of S.I = Rs 1.35 for 3 years, hence difference of SI for 1 year is Rs 0.45 therefore R% of the principal will equal Rs 0.45 or R% of 1500 will be equal to 0.45 or R = 0.03%, where R equals difference of rates.
\
S15. Ans.(b)
Sol. Case 1: Depreciation is valid for original value then total depreciation will be 10% × 2 × 200000 = 40,000
Case 2:
If depreciation is valid for remaining value then depreciation for first year will be 10% × 1 × 200000 = 20,000 and depreciation for second year will be 10% × 1 × 180000 = 18,000 and total depreciation will be 38000. Therefore, the difference in the final depreciated values for 2 cases,
where in one case depreciation is valid for original value and in another case depreciation is valid for remaining value will be 2000.
S15.
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