A trader mixes 26 kg of rice at Tk. 20 per kg with 30 kg of rice of other variety at Tk. 36 per kg and sells the mixture at Tk. 28 per kg. His profit or loss percent is-
A
2% loss
B
5% profit
C
2% profit
D
3% loss
উত্তরের বিবরণ
Question: A trader mixes 26 kg of rice at Tk. 20 per kg with 30 kg of rice of other variety at Tk. 36 per kg and sells the mixture at Tk. 28 per kg. His profit or loss percent is-
Solution:
C.P. of 56 kg rice = (26 × 20 + 30 × 36)
= (520 + 1080)
=1600
S.P. of 56 kg rice = (56 × 28)
= 1568
∴ Loss = 1600 - 1568
= 32
∴ Loss percentage = (32/1600) × 100% = 2%
0
Updated: 1 month ago
নিচের কোনটি x2 + ax - (3a + 1)(2a + 1) এর একটি উৎপাদক?
Created: 1 month ago
A
(x - 3a + 1)
B
(x - 2a - 1)
C
(x + 5a - 1)
D
(x + 2a - 1)
প্রশ্ন: নিচের কোনটি x2 + ax - (3a + 1)(2a + 1) এর একটি উৎপাদক?
সমাধান:
x2 + ax - (3a + 1)(2a + 1)
= x2 + ax - (3a + 1)(3a + 1 - a)
= x2 + ax - y(y - a) [ধরি, y = 3a + 1]
= x2 + ax - y2 + ay
= (x2 - y2) + (ax + ay)
= (x - y)(x + y) + a(x + y)
= (x + y)(x - y + a)
= (x + 3a + 1){x - (3a + 1) + a}
= (x + 3a + 1)(x - 3a - 1 + a)
= (x + 3a + 1)(x - 2a - 1)
0
Updated: 1 month ago
যদি x - y = 4 এবং xy = 5 হয়, তবে x3 - y3 + 8(x + y)2 এর মান কত?
Created: 2 months ago
A
288
B
344
C
412
D
448
প্রশ্ন: যদি x - y = 4 এবং xy = 5 হয়, তবে x3 - y3 + 8(x + y)2 এর মান কত?
সমাধান:
দেওয়া আছে,
x - y = 4
এবং xy = 5
∴ x3 - y3 + 8(x + y)2
= (x - y)3 + 3xy(x - y) + 8{(x - y)2 + 4xy}
= (4)3 + (3 × 5 × 4) + 8{42 + (4 × 5)} [মান বসিয়ে]
= 64 + 60 + 8 × (16 + 20)
= 124 + (8 × 36)
= 124 + 288
= 412
0
Updated: 2 months ago
If (a - 18)2 + (b - 12)2 + (c - 6)2 = 0 then, What is the value of (a + b + c)1/2 = ?
Created: 3 weeks ago
A
9
B
6
C
12
D
14
Question: If (a - 18)2 + (b - 12)2 + (c - 6)2 = 0 then, What is the value of (a + b + c)1/2 = ?
Solution:
দেওয়া আছে,
(a - 18)2 + (b - 12)2 + (c - 6)2 = 0
আমরা জানি, যেকোনো বর্গের যোগফল শূন্য হলে প্রতিটি বর্গই শূন্য হবে।
সুতরাং,
(a - 18)2 = 0
⇒ a - 18 = 0
∴ a = 18
আবার,
(b - 12)2 = 0
⇒ b - 12 = 0
∴ b = 12
এবং
(c - 6)2 = 0
⇒ c - 6 = 0
∴ c = 6
প্রদত্ত রাশি,
(a + b + c)1/2
= (18 + 12 + 6)1/2
= (36)1/2
= 6
0
Updated: 3 weeks ago
