Question

plz make my 13^th question do fast

Answer 1

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$\boxed{SOLUTION}$ ➡

Given,

Selling price of the radio set where the man incure 4% loss = Rs.900

Let,

Cost price of the radio set = Rs. x

Loss = 4%

•°• Selling price of the radio set = Rs.(x - 4% of x)

= Rs.(x - 4/100 × x)

= Rs.(x - x/25)

= Rs.(24x/25)

A.T.Q.,

24x/25 = 900

=> 24x = 900 × 25

=> 24x = 22500

=> x = 22500/24

=> x = 937.50

•°• Cost price of the radio set = Rs. 937.50

Now,

To find the selling price where the man would gain 16%.

Cost price of the radio set = Rs. 937.50

Gain = 16%

•°• Selling price of the radio set = Rs.(93750 + 16% of 937.50)

= Rs.(937.50 + 16/100 × 937.50)

= Rs.(937.50 + 150)

= Rs.1087.50

So,

If the man sells the radio set at Rs. 1087.50 ,he would gain 16%.

$\boxed{ANSWER}$ ➡ Rs. 1087.50

Answer 2

Find the percentage of the selling price the radio was sold :

Loss = 4%

Selling Price = 100 - 4 = 96%

Find the cost price:

Selling Price = 96%

Selling Price = Rs 900

96% = 900

1% = 900 ÷ 96 = Rs 9.375

100% = 9.375 x 100 = Rs 937.50

Find the new selling price:

Gain = 16%

Gain = 16% x 937.50 = 0.16 x 937.50 = Rs 150

New Selling Price = 937.50 + 150 = Rs 1087.50

Answer: He should sell it at  Rs 1087.50