A vendor purchased 720 lemons at ₹120 per hundred.10% of the lemons were found rotten which he sold at ₹50 per hundred. If he sells the remaining lemons at ₹125 per hundred, then his profit will be 16%. State whether the statement is true or false
Solution:
A vendor purchased 720 lemons at ₹120 per hundred.10% of the lemons were found rotten which he sold at ₹50 per hundred.
If he sells the remaining lemons at ₹125 per hundred, then his profit will be 16%.
We have to determine if the given statement is true or false.
According to the question,
CP of 100 lemons = ₹120
CP of 1 lemon = ₹120/100 = ₹12/10 = ₹6/5
CP of 720 lemons = ₹6/5 × 720 = ₹864
Rotten lemons = 10% of 720
= (10/100) × 720
= 72
SP of 100 rotten lemons = ₹50
SP of 1 rotten lemon = ₹50/100
SP of 72 rotten lemon = ₹50/100 × 72 = ₹72/2 = ₹36
SP of 100 good lemons = ₹125
SP of 1 good lemon = ₹125/100 = ₹5/4
Good lemon = 720 - 72 = 648
SP of 648 good lemons = ₹5/4 × 648 = ₹5 × 162 = ₹810
Total SP = 36 + 810 = ₹846
Since SP < CP, it is loss
Therefore, the given statement is false.
✦ Try This: A vendor purchased 300 apples at ₹1000 per hundred.15% of the apples were found rotten which he sold at ₹700 per hundred. If he sells the remaining apples at ₹1550 per hundred, then his profit will be 18%. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8
NCERT Exemplar Class 7 Maths Chapter 7 Problem 79
A vendor purchased 720 lemons at ₹120 per hundred.10% of the lemons were found rotten which he sold at ₹50 per hundred. If he sells the remaining lemons at ₹125 per hundred, then his profit will be 16%. State whether the statement is true or false
Summary:
The given statement,”A vendor purchased 720 lemons at ₹120 per hundred.10% of the lemons were found rotten which he sold at ₹50 per hundred. If he sells the remaining lemons at ₹125 per hundred, then his profit will be 16%” is false.
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