ব্যাংক ডেইলি কুইজ [লং কোর্সের অংশ]

ব্যাংক ডেইলি কুইজ [লং কোর্সের অংশ] · তারিখ অনির্ধারিত · ১৪ প্রশ্ন

১.

(a% of b) + (b% of a) is equal to:

ক
a% of b
খ
2% of ab
গ
2% of 100ab
ঘ
100% of ab

সঠিক উত্তর: খ

2% of ab

উত্তর

সঠিক উত্তর: খ

2% of ab

খ

ব্যাখ্যা

Question: (a% of b) + (b% of a) is equal to:

Solution:
According to question
(a% of b) + (b% of a)
= b × (a/100) + a × (b/100)
= (ab/100) + (ab/100)
= 2ab/100
= 2% of ab

২.

A number reduced by 25% becomes 225. What percent should it be increase so that it becomes 360 ?

ক
15%
খ
20%
গ
25%
ঘ
30%

সঠিক উত্তর: খ

20%

উত্তর

সঠিক উত্তর: খ

20%

খ

ব্যাখ্যা

Question: A number reduced by 25% becomes 225. What percent should it be increase so that it becomes 360 ?

Solution:
Let
the number be x

Now
x - 25% of x = 225
x - 25x/100 = 225
(100x - 25x)/100 = 225
75x/100 = 225
75x = (225 × 100)
x = (225 × 100)/75
x = 300

Required increase :

= (360 - 300)

= 60

Increase % :
= (60/300) × 100%
= 20%

৩.

A trader marks his goods at 40% above the cost price but allows a discount of 20% on the marked price. His profit percentage is-

ক
8%
খ
10%
গ
12%
ঘ
15%

সঠিক উত্তর: গ

12%

উত্তর

সঠিক উত্তর: গ

12%

গ

ব্যাখ্যা

Question: A trader marks his goods at 40% above the cost price but allows a discount of 20% on the marked price. His profit percentage is-

Solution:

Let
the C.P. of the goods Tk.100

Marked price of the goods = 100 + 40% of 100
= 100 + (40 × 100)/100
= 100 + 40
= 140

S.P. of the goods = 80% of 140
= (140 × 80)/100
= 112

profit = 112 - 100 = 12 Tk.

profit percentage is = (12/100) × 100%
= 12%

৪.

180 fazley mangoes were bought from a fruits shop. After two days 9 mangoes rotted. How many mangoes are quite good?

ক
80%
খ
85%
গ
90%
ঘ
95%

সঠিক উত্তর: ঘ

95%

উত্তর

সঠিক উত্তর: ঘ

95%

ঘ

ব্যাখ্যা

Question: 180 fazley mangoes were bought from a fruits shop. After two days 9 mangoes rotted. How many mangoes are quite good?

Solution:
The total number of mangoes which were bought = 180
The number of rotten mangoes = 9.

The number of good mangoes = 180 - 9 = 171.

The percentage of good mangoes is (171 × 100)/180
= 95%.

৫.

If 60% of A's income is equal to 75% of B's income, then B's income is equal to x% of A's income. The value of x is :

ক
60
খ
70
গ
75
ঘ
80

সঠিক উত্তর: ঘ

উত্তর

সঠিক উত্তর: ঘ

ঘ

ব্যাখ্যা

Question: If 60% of A's income is equal to 75% of B's income, then B's income is equal to x% of A's income. The value of x is :

Solution:
According to the question,
60 × (A/100) = 75 × (B/100)
60A = 75B
4A = 5B
B = 4A/5

Again
B = A × (x/100)
4A/5 = A × (x/100)
4/5 = x/100
5x = 400
x = 400/5
x = 80

৬.

The price of the sugar rise by 25%. If a family wants to keep their expenses on sugar the same as earlier, the family will have to decrease its consumption of sugar by-

ক
10%
খ
12%
গ
20%
ঘ
25%

সঠিক উত্তর: গ

20%

উত্তর

সঠিক উত্তর: গ

20%

গ

ব্যাখ্যা

Question: The price of the sugar rise by 25%. If a family wants to keep their expenses on sugar the same as earlier, the family will have to decrease its consumption of sugar by-

Solution:

২৫% বৃদ্ধিতে দাম = (১০০ + ২৫) = ১২৫টাকা।

১২৫ টাকায় চিনি খাওয়া কমে = ১২৫ - ১০০ = ২৫ টাকা

১ টাকায় চিনি খাওয়া কমে = ২৫/১২৫ টাকা

১০০ টাকায় চিনি খাওয়া কমে = (২৫ × ১০০)/১২৫
= ২০ টাকা

অর্থাৎ, শতকরা ২০% কমিয়েছিল

৭.

Find the difference of amount if 40% discount is given on Tk. 1000 and two consecutive discounts 30% and 10% are given on the same amount.

ক
Tk. 15
খ
Tk. 20
গ
Tk. 25
ঘ
Tk. 30

সঠিক উত্তর: ঘ

Tk. 30

উত্তর

সঠিক উত্তর: ঘ

Tk. 30

ঘ

ব্যাখ্যা

Question: Find the difference of amount if 40% discount is given on Tk. 1000 and two consecutive discounts 30% and 10% are given on the same amount.

Solution:

40% discount on 1000 = 1000 × 40% = 400

Two consecutive discount on 1000.
30% discount on 1000 = 30% of 1000
= 300

After 30% discount on 1000 = 1000 - 300

=700

Again,

After 10% discount on 700 = 10% of 700

= 70

Total discount = 300 + 70 = Tk. 370

So, difference = 400 - 370 = Tk. 30

৮.

A table fan is quoted for Tk.1500. Saadman pays Tk. 1173 for it. If he gets a series of two discounts and the rate of the first discount is 15%, then the rate of the second discount is?

ক
5%
খ
8%
গ
10%
ঘ
12%

সঠিক উত্তর: খ

উত্তর

সঠিক উত্তর: খ

খ

ব্যাখ্যা

Question: A table fan is quoted for Tk.1500. Saadman pays Tk. 1173 for it. If he gets a series of two discounts and the rate of the first discount is 15%, then the rate of the second discount is?

Solution:

After first discount = 1500 - 1500 × 15%

= 1500 - 1500 × 15/100

= 1500 -225

= 1275 taka

let second discount is x%

1275 - 1275 × x/100 = 1173

⇒ 1275x/100 = 1275 - 1173 = 102

⇒ x = 102 × 100/1275

= 8

৯.

A student scores 55% marks in 8 papers of 100 marks each. He scores 15% of the total marks in Bangla How much does he score in Bangla?

ক
62
খ
66
গ
68
ঘ
72

সঠিক উত্তর: খ

উত্তর

সঠিক উত্তর: খ

খ

ব্যাখ্যা

Question: A student scores 55% marks in 8 papers of 100 marks each. He scores 15% of the total marks in Bangla How much does he score in Bangla?

Solution:
৮ টি বিষয়ে মোট নম্বর = 8 × 100 = 800
সে নম্বর পেয়েছে = 800 এর 55%
= 800 এর 55/100
= 440

সে বাংলায় নম্বর পেয়েছে = 440 এর 15%
= 440 এর 15/100
= 66

১০.

A shopkeeper marks the price of an article at TK. 240. What will be the selling price. if he allows two successive discounts of 5% each ?

ক
Tk. 206.60
খ
Tk. 216.60
গ
Tk. 226.60
ঘ
Tk. 236.60

সঠিক উত্তর: খ

Tk. 216.60

উত্তর

সঠিক উত্তর: খ

Tk. 216.60

খ

ব্যাখ্যা

Question: A shopkeeper marks the price of an article at TK. 240. What will be the selling price. if he allows two successive discounts of 5% each ?

Solution:

At 5% discount for the first time = (240 × 95)/100 = Tk.228

At 5% discount for second time = (228 × 95)/100 = Tk. 216.60

১১.

64% of a number is 1920. What is 88% of that number?

ক
2160
খ
2420
গ
2240
ঘ
2640

সঠিক উত্তর: ঘ

2640

উত্তর

সঠিক উত্তর: ঘ

2640

ঘ

ব্যাখ্যা

Question: 64% of a number is 1920. What is 88% of that number?

Solution:

Let the number be x

Then,
64% of x = 1920
64x/100 = 1920
x = (1920 × 100)/64
x = 3000

88% of 3000 = 3000 × (88/100)
= 2640

১২.

Find the single discount equivalent to two successive discounts of 20% and 10%

ক
18%
খ
24%
গ
30%
ঘ
28%

সঠিক উত্তর: ঘ

28%

উত্তর

সঠিক উত্তর: ঘ

28%

ঘ

ব্যাখ্যা

Question: Find the single discount equivalent to two successive discounts of 20% and 10%

Solution:

Let the marked price of an article be Tk.100

Then first discount on it = Tk. 20

Price after discount = Tk. (100 - 20) = Tk. 80

Second discount on it = 10% of 80
= 80 × 10/100
= 8

Price after second discount = Tk. (80 - 8) = 72

Single discount equivalent to given successive discounts

=(100 - 72)%
= 28%

১৩.

If 75% of the students in a school are boys and the number of girls is 520, the number of boys is:

ক
1450
খ
1560
গ
1230
ঘ
1280

সঠিক উত্তর: খ

1560

উত্তর

সঠিক উত্তর: খ

1560

খ

ব্যাখ্যা

Question: If 75% of the students in a school are boys and the number of girls is 520, the number of boys is:

Solution:
No. of boys = 75%
No. Girls = 25% = 520

Now
25% = 520
1% = 520/25
75% = (520 × 75)/25
= 1560

১৪.

In an election 4% of votes cast are invalid. A candidate gets 55% of casted votes and wins the election by 4800 votes. Find the total number of votes casted.

ক
50000
খ
45000
গ
42000
ঘ
60000

সঠিক উত্তর: ক

50000

উত্তর

সঠিক উত্তর: ক

50000

ক

ব্যাখ্যা

Question: In an election 4% of votes cast are invalid. A candidate gets 55% of casted votes and wins the election by 4800 votes. Find the total number of votes casted.

Solution:
বিজয়ী প্রার্থী ভোট পায়= 55%
বৈধ ভোট = (100 - 4)% = 96%

বিজয়ী প্রার্থী বৈধ ভোটের শতকরা পায় = (55 × 96)/100
= 52.8%

পরাজিত প্রার্থী ভোট পায় = (96 - 52.8)%
= 43.2%

বিজয়ী প্রার্থী ও পরাজিত প্রার্থীর ভোটের পার্থক্য = (52.8 - 43.2)%
= 9.6%

প্রশ্নমতে
9.6% = 4800
1% = 4800/9.6
100% = (4800 × 100)/9.6
= 50000