১.
(a% of b) + (b% of a) is equal to:
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
ব্যাংক ডেইলি কুইজ [লং কোর্সের অংশ]
মোট প্রশ্ন১৪
সিলেবাস
Exam - 89
Math:
Topic: Percentage, Discount
ব্যাংক ডেইলি কুইজ [লং কোর্সের অংশ]
ব্যাংক ডেইলি কুইজ [লং কোর্সের অংশ] · তারিখ অনির্ধারিত · ১৪ প্রশ্ন
২.
A number reduced by 25% becomes 225. What percent should it be increase so that it becomes 360 ?
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 :
Increase % :
= (60/300) × 100%
= 20%
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-
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:
Marked price of the goods = 100 + 40% of 100
= 100 + (40 × 100)/100
= 100 + 40
= 140
Let
the C.P. of the goods Tk.100
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.
= (140 × 80)/100
= 112
profit = 112 - 100 = 12 Tk.
profit percentage is = (12/100) × 100%
= 12%
= 12%
৪.
180 fazley mangoes were bought from a fruits shop. After two days 9 mangoes rotted. How many mangoes are quite good?
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 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 :
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
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-
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:
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
= 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.
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.
Again,
Total discount = 300 + 70 = Tk. 370
Solution:
40% discount on 1000 = 1000 × 40% = 400
Two consecutive discount on 1000.
30% discount on 1000 = 30% of 1000
= 300
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?
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?
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
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 ?
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?
ব্যাখ্যা
Question: 64% of a number is 1920. What is 88% of that number?
Solution:
Then,
64% of x = 1920
64x/100 = 1920
x = (1920 × 100)/64
x = 3000
88% of 3000 = 3000 × (88/100)
= 2640
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%
ব্যাখ্যা
Question: Find the single discount equivalent to two successive discounts of 20% and 10%
Solution:
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
= 80 × 10/100
= 8
Price after second discount = Tk. (80 - 8) = 72
Single discount equivalent to given successive discounts
=(100 - 72)%
= 28%
= 28%
১৩.
If 75% of the students in a school are boys and the number of girls is 520, the number of boys is:
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.
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
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