Question

Rohan sells a T.V. to Roshan for rs. 8800 making a profit of 10%. Roshan sell the T.V. to
Sushant making a profit of 10%. Find the amount paid by Rohan and Roshan respectively to
buy the T.V. Find the purchase price of Sushant.

plz plz solve it fast
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please don't answer if he don't know plz ​

Answer 1

• Amount paid by Rohan to buy the T.V is Rs 8000.
• Amount paid by Roshan to buy the T.V is Rs 8800.
• Purchased price of Sushant is Rs.9680.

Step-by-step explanation:

To find:-

• Amount paid by Rohan to buy the T.V.
• Amount paid by Roshan to buy the T.V .
• Purchase price of Sushant.

Solution:-

For Rohan :

Selling price = Rs.8800

Profit percent = 10%

Profit = 8800 - C.P

Profit is 8800 - C.P

Now,

$\sf \longrightarrow 10 = \dfrac{8800 - C.P}{C.P} \times 100$

$\sf \longrightarrow 10 \times C.P = (8800 - C.P ) \times 100$

$\sf \longrightarrow \dfrac{10}{100} \times C.P = 8800-C.P$

$\sf \longrightarrow \dfrac{C.P}{10} = 8800 - C.P$

$\sf \longrightarrow C.P = 10 \times (8800-C.P)$

$\sf \longrightarrow C.P = 88000 - 10\: C.P$

$\sf \longrightarrow 10 \: C.P + C.P = 88000$

$\sf \longrightarrow 11 \: C.P = 88000$

$\sf \longrightarrow C.P = \dfrac{88000}{11}$

$\longrightarrow \blue{\boxed{\sf \bold{C.P=8000}}\star}$

Cost price of T.V for Rohan is Rs 8000.

• Cost price of T.V will be the amount which Rohan is paying to buy T.V .

Thus, Rohan paid Rs.8000 to buy T.V.

For Roshan :

Selling price of T.V for Rohan = Cost price for T.V of Roshan

[Because Rohan is Selling T.V to Roshan]

Cost price of T.V for Roshan is Rs 8800 .

• Cost price of T.V is the price which he will pay to Rohan to buy T.V .

So, Roshan paid Rs.8800 to Rohan to buy T.V.

Roshan is getting profit 10% by selling T.V to Sushant.

• We need to find, in how many rupees he sells T.V to Sushant.

So,

Profit = S.P - 8800

Profit is S.P - 8800.

Now,

$\sf \longrightarrow \dfrac{S.P - 8800}{8800} \times = 10$

$\sf \longrightarrow (S.P - 8800) \times 100 = 10 \times 8800$

$\sf \longrightarrow (S.P - 8800) \times 100 = 88000$

$\sf \longrightarrow S.P - 8800 = \dfrac{88000}{100}$

$\sf \longrightarrow S.P - 8800 = 880$

$\sf \longrightarrow S.P = 880 + 8800$

$\longrightarrow \pink{\boxed{\sf \bold{S.P = 9680}}\star}$

Selling price of Roshan is Rs. 9680.

For Sushant :

Selling price of Roshan = Cost price of T.V for Sushant.

Cost price of T.V for Sushant is Rs.9680.

• Cost price will be the amount which sushant pay to buy T.V.

Thus,

Sushant purchased T.V for Rs 9680.

______________________________

We have used Profit and Profit percent formulas here. Formulas are :

• $\boxed{\sf \bold{Profit = S.P - C.P}}$

• $\boxed{\sf \bold{Profit \: percent = \dfrac{Profit}{C.P} \times 100}}$

Here, C.P and S.P are Cost price and Selling price respectively.

Similarly, In above answer S.P and C.P are Selling price and Cost price.

Answer 2

Answer:

Given :-

• SP of TV = 8800
• Profit % when Rohan sell= 10%
• Profit% when Roshan sell = 10%

To Find :-

Amount paid by Rohan to buy the T.V.

Amount paid by Roshan to buy the T.V .

Purchase price of Sushant.

SoluTion :-

❶ For Rohan

SP = 8800

Profit % = 10%

Profit = 8800 of 10 - CP

Profit = 880 - CP

$\sf \mapsto \: 10 = \dfrac{880 - CP}{CP} \times$

$\sf \mapsto \: 10×C.P=(8800−CP)×100$

$\sf \mapsto \: \dfrac{10}{100} ×CP=8800−CP$

$\sf \mapsto \: \dfrac{CP}{10} = 8800 - CP$

$\sf \mapsto \: CP=10×(8800−CP)$

$\sf \mapsto 10 \: CP+ CP= 88000$

$\sf \mapsto \: 11 \: CP = 88000$

$\sf \mapsto \: CP \: = 88000 \div 11$

Cost price for Rohan is 8000.

As the profit percent is same in both people therefore.

Selling price of T.V for Rohan = Cost price for T.V of Roshan

8000 = Cost price for Rohan.

❷ For Roshan

Profit = SP - 8000

$\sf \mapsto \: \dfrac{SP- 8000}{SP} \times 10$

$\sf \mapsto(SP−8800)×100=10×8800$

$\sf \mapsto(SP−8800)×100=88000$

$\sf \mapsto \: SP - 8000 = \dfrac {88000}{100}$

$\sf \mapsto \: SP\: - 8800 = 880$

$\sf \mapsto SP=880+8800$

$\sf \mapsto \: \blue{\boxed{\sf \bold{SP = 9680}}\star}$

❸ For Sushant

Selling price of Roshan = Cost price of T.V for Sushant

Therefore, purchase for Sushant is 9680