Question

A man bought a house for 80,000 and spent 20% of the cost of house for repairing the house. At what price should he sell the house to make a gain of 25%?​

Answer 1

Answer:

120000

Step-by-step explanation:

House price = 80000

cost of house repairing = 20% of 80000= 16000

total cost = 80000 + 16000 = 96000

for make gain of 25% he should sell the house at

= 96000 + (25% of 96000)

= 96000 + 24000

= 120000

Answer 2

Answer:

★ Selling Price = Rs 120,000 ★

Step-by-step explanation:

Given:

• Cost price of house Rs 80,000
• He spent 20% of cost of house on repairing

To Find:

• The amount he will get after selling house at 25% profit

Solution:

→ Total CP of house = Original price of house + Repairing price

$\small\implies{\sf }$ Total CP of house = 80,000+ 20% of 80,000

$\small\implies{\sf }$ Total CP = 80,000 + 20/100 x 80,000

$\small\implies{\sf }$ Total CP = 80,000 + 16,000 = Rs 96,000

★ Profit % = 25% ★

† Formula for finding S.P when CP and profit % are given =

• S.P = (100+profit%/100) x C.P

† Putting all the values †

$\small\implies{\sf }$ S.P = $\large{\sf {\frac{</strong><strong>1</strong><strong>0</strong><strong>0</strong><strong>+</strong><strong>2</strong><strong>5</strong><strong>}{</strong><strong>1</strong><strong>0</strong><strong>0</strong><strong>}}}$ x 96,000

$\small\implies{\sf }$ S.P = $\large{\sf {\frac{125}{100}}}$ x 96,000

$\small\implies{\sf }$ S.P= Rs 120,000

Hence, He should sell the house at Rs 120,000 to make a profit of 25%