Simplification for IBPS clerk test 7-Solved questions with detailed explanations for SSC, IBPS PO, SBI PO, RRB, RBI, CSE, CGL, CHSL, CDA, CSE, UPSC

21)

What will come in place of question mark (?) in the following questions

40% of 250 =50% of ?

[BOB (PO), 2008]

A)
200
B)
100
C)
150
D)
400
E)
None of these

Answer: Option A

Explanation

$\begin{array}{l} Here, \\ \Rightarrow 40% of 250 = 50% of ? \\ It can be also written as \\ \frac{40}{100} \times 250 = \frac{50}{100} \times x [∵ p u t t i n g x = ?] \\ \Rightarrow 40 \times 2.5 = \frac{1}{2} \times x \\ \Rightarrow x = 100 \times 2 \\ \Rightarrow x = 200 \end{array}$

Hence, option A is correct.

Discussion

22)

(23.6% of 1254) - (16.6% of 834)=?

[Andhra Bank (PO), 2007]

A)
159.5
B)
157.5
C)
155.5
D)
153.5
E)
None of these

Answer: Option B

Explanation

$\begin{array}{l} Here, \\ we can simplify it as \\ \Rightarrow (23.6% of 1254) - (16.6% of 834) \\ = (\frac{23 .6}{100} \times 1254) - (\frac{16 .6}{100} \times 834) \\ = (23.6 \times 12.54) - (16.6 \times 8.34) \\ = 295.944 - 138.444=157.5 \end{array}$

Hence, Option B is correct.

Discussion

23)

20.3% of 530 + 16.8% of 225 =?

[Andhra Bank (PO), 2007]

A)
123.27
B)
145.39
C)
165.49
D)
186.57
E)
None of these

Answer: Option B

Explanation

$\begin{array}{l} Here, \\ \Rightarrow 20.3% of 530 + 16.8% of 225 = ? \\ It can be further simplified as \\ = \frac{20 .3}{100} \times 530 + \frac{16 .8}{100} \times 225 \\ = 20 .3 \times 5 .3 + 16 .8 \times 225 \\ = 107.59 + 37.8 = 145.39 \end{array}$

Hence, option B is correct.

Discussion

24)

73% of 8523 + 32% of 6245 = ?

[Uttarakhand GBO, 2007]

A)
8042.21
B)
8136.28
C)
8625.35
D)
8220.190000000001
E)
None of these

Answer: Option D

Explanation

$\begin{array}{l} From the above question, \\ we can simplify as \\ \Rightarrow \frac{73}{100} \times 8523 + \frac{32}{100} \times 6245 = ? \\ \Rightarrow 73 \times 8523 + 32 \times 62.45 =? \\ \Rightarrow ? = 6221.79 + 1998.4 = ? \\ \Rightarrow ? = 8220.19 \end{array}$

Hence, Option D is correct.

Discussion

25)

56% of 958 + 67% of 1008 = ?% of 2000

[Union Bank of India (PO), 2005]

A)
60.592
B)
47.622
C)
42.86
D)
91.455
E)
None of these

Answer: Option A

Explanation

$\begin{array}{l} Here, \\ \Rightarrow 56% of 958 + 67% of 1008 =? % of 2000 \\ It can be further simplified as \\ \Rightarrow \frac{56}{100} \times 958 + \frac{67}{100} \times 1008 = ? % o f 2000 \\ \Rightarrow 56 \times 9.58 + 67 \times 10.08 =? % o f 2000 \\ \Rightarrow 536.48 + 675.36 = ? % of 2000 \\ \Rightarrow 1211.84 = ? % of 2000 \\ \Rightarrow 2000 \times \frac{x}{100} = 1211 .84 \\ \Rightarrow x = \frac{1211 .84}{20} \Rightarrow x = 60 .592 \end{array}$

Hence, Option A is correct.

Discussion

Simplification-Test 7 (Based on Simplification of Percentages)

Answer: Option A

Answer: Option B

Answer: Option B

Answer: Option D

Answer: Option A