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# 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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