By selling a book for ₹50, a shopkeeper suffers a loss of 10%. The cost price of the book is ₹60. State whether the statement is true or false.

Solution:

By selling a book for ₹50, a shopkeeper suffers a loss of 10%. The cost price of the book is ₹60.

We have to determine if the given statement is true or false.

According to the question,

SP = ₹50

Loss% = 10%

We know, Loss = CP - SP

Loss% = Loss/CP × 100

10 = (CP - SP)/CP × 100

10 = (CP - 50)CP × 100

10 = 1 - 50/CP × 100

10/100 = 1 - 50/CP

1/10 - 1 = -50/CP

(1 - 10)/10 = -50/CP

-9/10 = -50/CP

9/10 = 50/CP

CP = 50×10/9

= 500/9

= 55.55

Therefore, CP is ₹55.55

✦ Try This: By selling a chair for ₹250, a shopkeeper suffers a loss of 20%. The cost price of the chair is ₹180. 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 72

By selling a book for ₹50, a shopkeeper suffers a loss of 10%. The cost price of the book is ₹60. State whether the statement is true or false

Summary:

The given statement,”By selling a book for ₹50, a shopkeeper suffers a loss of 10%. The cost price of the book is ₹60” is false.

---

☛ Related Questions:

• If a chair is bought for ₹2000 and is sold at a gain of 10%, then the selling price of the chair is . . . .
• If a bicycle was bought for ₹650 and sold for ₹585, then the percentage of profit is 10. State wheth . . . .
• Sushma sold her watch for ₹3320 at a gain of ₹320. For earning a gain of 10% she should have sold th . . . .