Question

Avinash bought two books for Rs.650. He sold one book at a profit of 20% and the other at a loss of 12%. If
the S.P. of both books is same, then the cost price of each book is,
Select one:
O a. None of these
b. R450 and Rs. 150
OC, RS.400 and Rs.250
O d. RS.375 and Rs.275​

Answer 1

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Interesting Facts about India:

•India never invaded any country in her last 100000 years of history.

•When many cultures were only nomadic forest dwellers over 5000 years ago, Indians established Harappan culture in Sindhu Valley (Indus Valley Civilization)

•The name 'India' is derived from the River Indus, the valleys around which were the home of the early settlers. The Aryan worshippers referred to the river Indus as the Sindhu.

•The Persian invaders converted it into Hindu. The name 'Hindustan' combines Sindhu and Hindu and thus refers to the land of the Hindus.

•Chess was invented in India.

•Algebra, Trigonometry and Calculus are studies, which originated in India.

•The 'Place Value System' and the 'Decimal System' were developed in India in 100 B.C.

•The World's First Granite Temple is the Brihadeswara Temple at Tanjavur, Tamil Nadu. The shikhara of the temple is made from a single 80-tonne piece of granite. This magnificent temple was built in just five years, (between 1004 AD and 1009 AD) during the reign of Rajaraja Chola.

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Answer 2

The cost price of two books are Rs. 375 and Rs. 275 [ The correct option is d. Rs. 375 and Rs. 275 ]

Given :

• Avinash bought two books for Rs. 650

• He sold one book at a profit of 20% and the other at a loss of 12%

• The SP of both books is same

To find :

The cost price of two books are

a. None of these

b. Rs. 450 and Rs. 150

c. Rs. 400 and Rs. 250

d. Rs. 375 and Rs. 275

Solution :

Step 1 of 2 :

Form the equation to calculate cost price of two books

Avinash bought two books for Rs. 650

Let cost price of two books are Rs. C and Rs. (650 - C) respectively

Avinash sold one book at a profit of 20% and the other at a loss of 12%

So by the given condition

$\displaystyle \sf C \times \frac{120}{100} = (650 - C) \times \frac{88}{100}$

Step 2 of 2 :

Calculate cost price of two books

$\displaystyle \sf C \times \frac{120}{100} = (650 - C) \times \frac{88}{100}$

$\displaystyle \sf{ \implies } C \times 120 = (650 - C) \times 88$

$\displaystyle \sf{ \implies } 120C = 57200 - 88C$

$\displaystyle \sf{ \implies } 120C + 88C = 57200$

$\displaystyle \sf{ \implies } 208C = 57200$

$\displaystyle \sf{ \implies } C = \frac{57200}{208}$

$\displaystyle \sf{ \implies } C = 275$

Cost price of 1st book = Rs. C = Rs. 275

Cost price of 2nd book

= Rs. (650 - C)

= Rs. (650 - 275)

= Rs. 375

∴ The cost price of two books are Rs. 375 and Rs. 275

Hence the correct option is d. Rs. 375 and Rs. 275

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