Aptitude

How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

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Question:
How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

[A].

36 kg

[B].

42 kg

[C].

54 kg

[D].

63 kg

Answer: Option D

Explanation:

S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%.

C.P. of 1 kg of mixture = Rs. 100 x 9.24 = Rs. 8.40
110

By the rule of allilation, we have:

C.P. of 1 kg sugar of 1st kind
Cost of 1 kg sugar of 2nd kind
Rs. 9 Mean Price
Rs. 8.40 		Rs. 7
1.40 0.60

Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.

Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind.

Then, 7 : 3 = x : 27

x = 7 x 27 = 63 kg.
3

The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:

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The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:

[A].

Rs. 18

[B].

Rs. 18.50

[C].

Rs. 19

[D].

Rs. 19.50

Answer: Option A

Explanation:

Let the price of the mixed variety be Rs. x per kg.

By rule of alligation, we have:

Cost of 1 kg of Type 1 rice
Cost of 1 kg of Type 2 rice
Rs. 15 Mean Price
Rs. x 		Rs. 20
(20 – x) (x – 15)
(20 – x) = 2
(x – 15) 3

60 – 3x = 2x – 30

5x = 90

x = 18.

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

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Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

[A].

1 : 3

[B].

2 : 3

[C].

3 : 4

[D].

4 : 5

Answer: Option B

Explanation:

By the rule of alligation:

Cost of 1 kg of 1st kind
Cost of 1 kg of 2nd kind
720 p Mean Price
630 p 		570 p
60 90

Required ratio = 60 : 90 = 2 : 3.

In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

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In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
[A].
3 : 7
[B].

5 : 7
[C].

7 : 3
[D].

7 : 5 

Answer: Option C

Explanation:

By the rule of alligation:

Cost of 1 kg pulses of 1st kind
Cost of 1 kg pulses of 2nd kind
Rs. 15 Mean Price
Rs. 16.50		 Rs. 20
3.50 1.50

Required rate = 3.50 : 1.50 = 7 : 3.

Hafeez invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Hafeez at the end of the year will be?

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Hafeez invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Hafeez at the end of the year will be?

A. Rs. 16,500
B. Rs. 16,525.50
C. Rs. 16,537.50
D. Rs. 18,150
Explanation:
P = Rs. 15000; R = 10% p.a. = 5% per half-year; T = 1 year = 2 half-year
Amount = [15000 * (1 + 5/100)2]
= (15000 * 21/20 * 21/20) = Rs. 16537.50

A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?

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A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?

A. Rs. 565.25
B. Rs. 635
C. Rs. 662.02
D. Rs. 666.50
Explanation:
Amount = [200(1 + 5/100)3 + 200(1 + 5/100)2 + 200(1 + 5/100)]
= [200 * 21/20(21/20 * 21/20 + 21/20 + 1)] = Rs. 662.02

Shohaib invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Shohaib get on maturity of the fixed deposit?

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Shohaib invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Shohaib get on maturity of the fixed deposit?

A. Rs. 8600
B. Rs. 8620
C. Rs. 8800
D. Rs. 8840
E. None of these
Explanation:
Amount = [8000 * (1 + 5/100)2]
= 8000 * 21/20 * 21/20
= Rs. 8820

Afnan wants to borrow Rs.6000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?

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Afnan wants to borrow Rs.6000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?

A. Rs.21.60
B. Rs.24.00
C. Rs.25.20
D. Rs.27.80
E. None of these

Rayan invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Rayan’s investments if the interests from those investments are equal?

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Rayan invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Rayan’s investments if the interests from those investments are equal?

A. 4 : 3
B. 3 : 2
C. 6 : 5
D. 7 : 6
E. None of these
Explanation:
Let x be the investment of Rayan in 6% and y be in 7%
x(6)(n)/100 = y(7)(n)/100
=> x/y = 7/6
x : y = 7 : 6