A merchant sells out sugar to a customer, using false weights and thereby gains 25 percent on his outlay. What weight does he substitute for one kg? Plz show working
Answers
Solution :-
Let us assume that, the merchant use x gm less weight in place of 1 kg (1000gm) , and he gains 25% on his outlay .
then,
→ Weight Less used = x gm .
→ Actual weight used = (1000 - x) gm.
→ Gain = 25%
So,
→ (x * 100) / (1000 - x) = 25
→ 100x = 25(1000 - x)
→ 100x = 25000 - 25x
→ 100x + 25x = 25000
→ 125x = 25000
→ x = 200 gm.
Therefore,
→ Weight he substitute for one kg = (1000 - x) = 1000 - 200 = 800 gm (Ans.)
Learn more :-
Raju buys 3 goats for rs 11600. when he sells goats for 20 percent profit and sheep at 10 percent loss. he earns total p...
https://brainly.in/question/26745258
An item was sold at a profit of 12% after giving a discount of 12.5% on the list price. what would be the gain or loss p...
https://brainly.in/question/26616270
Step-by-step explanation:
Given A merchant sells out sugar to a customer, using false weights and thereby gains 25 percent on his outlay. What weight does he substitute for one kg? Plz show working
- Let the error is p gm. So we have
- Error / True weight – error x 100 = percentage profit
- p / 1000 – p x 100 = 25
- p / 1000 – p = 25/100
- p / 1000 – p = ¼
- 4p = 1000 – p
- 5p = 1000
- Or p = 1000 / 5
- Or p = 200 gm
- Therefore the weight used = 1000 – 200 = 800 gm
Reference link will be
https://brainly.in/question/1821492