A shopkeeper buys 20 quintals of wheat.
He sells 6 quintals at 15% profit, 8 quintals
at 20% profit and disposes of the rest for
25% profit. His total gain was 2000. At what
price per quintal did he buy the wheat?
plzz solve with formula
Answers
Answer:
Rs 500 price per quintal of wheat
Step-by-step explanation:
Given:
A shopkeeper buys 20 quintals of wheat
6 quintals sold at 15% profit
8 quintals sold at 20% profit
Disposes of the rest for 25% profit. (6 quintals)
Total gain = Rs 2000
To find :
Price per quintal did he buy the wheat
Solution :
Total gain = Rs 2000
Let,
Cost price of wheat = x
★ 6 quintals at 15% profit :
⇒ 15 / 100 × 6x
⇒ 0.9x
★ 8 quintals at 20% profit :
⇒ 20 / 100 × 8x
⇒ 1.6x
★ 6 quintals at 25% profit :
⇒ 25 / 100 × 6x
⇒ 1.5x
Total gain = Rs 2000
So,
⇒ 0.9x + 1.6x + 1.5x = 2000
⇒ 4x = 2000
⇒ x = 2000 / 4
⇒ x = 500
Therefore,
Rs 500 price per quintal of wheat
Given :-
A shopkeeper buys 20 quintals of wheat.
He sells 6 quintals at 15% profit, 8 quintals
at 20% profit and disposes of the rest for
25% profit. His total gain was 2000. At what
price per quintal did he buy the wheat?
To Find :-
- Wheat bought at what price / quintal
Solution :-
Total wheat bought :- 20 quintals
He sold
6 quintals at 15 % profit
8 quintals at 20 % profit
And rest 6 quintals at 25 % profit
Let he bought a quintal of wheat for ₹ x.
So, profit gained at :-
6 quintals at 15 % profit
❖ ( 15 × 6x ) / 100
90x / 100
0.9x
8 quintals at 20 % profit
❖ ( 20 × 8x ) / 100
160x / 100
1.6x
6 quintals at 25 % profit
❖ ( 25 × 6x ) / 100
150x / 100
1.5x
The total profit gained is
→ 0.9x + 1.6x + 1.5x = 2000
→ 4x = 2000
→ x = 2000 / 4 = 500
So, the CP of per quintal was ₹ 500