Question

23. A person purchased a television and a radio for Rs.5,550. He sold
the television at a profit of 10% and the radio at a profit of 20%. His
total profit was 14%. Find the cost price of television
1. Rs.2.220 2. Rs.3,330 3. Rs.4,000 4. Rs.5,000​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given:

A person purchased a television and a radio for Rs.5,550

He sold  the television at a profit of 10% and the radio at a profit of 20%

His  total profit was 14%.

To find:

The cost price of television.

Solution:

A person purchased a television and a radio for Rs.5,550

Let the cost price of television be x

Cost price of radio will be y

x + y = 5550   -------------------------------- Eq (1)

His  total profit was 14%.

14% of 5550 = 14 × $\frac{5550}{100}$

14% of 5550 = 777

Total profit = Rs. 777

He sold  the television at a profit of 10% and the radio at a profit of 20%

$\frac{10x}{100}$ + $\frac{20y}{100}$ = 777

$\frac{x}{10} + \frac{2y}{10}$  = 777

$\frac{x+2y}{10}$ = 777

x + 2y = 777 × 10

x + 2y = 7770     -------------------------------- Eq (2)

Subtracting Eq(1) from Eq(2)

x + 2y - x - y = 7770 - 5550

y = 2,220

Cost price of radio = Rs 2,220

Cost price of television = 5550 - 2220

Cost price of television = Rs 3,330

Final answer:

The cost price of television is Rs 3,330

Thus, the correct option is 2. Rs.3,330