Advertisements
Advertisements
Question
Mariam bought two fans for Rs 3605. She sold one at a profit of 15% and the other at a loss of 9%. If Mariam obtained the same amount for each fan, find the cost price of each fan.
Advertisements
Solution
\[\text { It is given that the S . P is same for both the fans } . \]
\[\text { Let C . P of the first fan be Rs . x }\]
\[\text { Therefore, C . P of the second fan = Rs }. (3605 - x)\]
\[\text { Profit on the first fan = 15 % } \]
\[\text { Loss on the second fan = 9 % } \]
\[\text { For the first fan }, \]
\[\text { S . P = C . P }\left( \frac{100 + \text { gain % }}{100} \right)\]
\[ = x\left( \frac{115}{100} \right)\]
\[ = \frac{23x}{20}\]
\[\text { For the second fan }, \]
\[\text { S . P = C . P }\left( \frac{100 -\text { loss % }}{100} \right)\]
\[ = \left( 3605 - x \right)\left( \frac{91}{100} \right)\]
\[\text { Since S . P of both the fans is the same, } \]
\[\frac{23x}{20} = \left( 3605 - x \right)\left( \frac{91}{100} \right)\]
\[2300x = 91\left( 72100 - 20x \right)\]
\[2300x = 6561100 - 1820x\]
\[4120x = 6561100\]
\[x = Rs . 1592 . 50\]
\[\text { Thus, C . P of the first fan is Rs } . 1592 . 50 . \]
\[\text { C . P of the second fan = Rs } . \left( 3605 - 1592 . 50 \right)\]
\[ = Rs . 2012 . 50\]
APPEARS IN
RELATED QUESTIONS
A dishonest shopkeeper professes to sell pulses at his cost price but uses a false weight of 950 gm for each kilogram. Find his gain percent.
A cycle merchant allows 20% discount on the marked price of the cycles and still makes a profit of 20%. If he gains Rs 360 over the sale of one cycle, find the marked price of the cycle.
The cost price and selling price are given in the following table. Find out whether there was a profit or a loss and how much it was.
| Cost Price (in Rs.) |
Selling Price (in Rs) |
Profit or Loss | How much? |
| 4100 | 4090 |
The meeting of the Meenkar Bank has just begun. Fazila is the president. Twenty fisherwomen have made their own bank. Each saves Rs 25 every month and puts it in the bank.
How much money does the group collect each month?
In case of loss, `C.P. = (100 xx S.P.)/(100 + Loss%)`
At a toy shop price of all the toys is reduced to 66% of the original price. How much money would you save on a toy costing Rs 90?
John sells a bat for ₹ 75 and suffers a loss of ₹ 8. The cost price of the bat is ______.
Nasim bought a pen for ₹ 60 and sold it for ₹ 54. His ______ % is ______.
By selling a chair for ₹ 1440, a shopkeeper loses 10%. At what price, did he buy it?
Match the entries in Column I with the appropriate entries in Column II:
| Column I | Column II |
| (i) 3:5 | (A) ₹ 54 |
| (ii) 2.5 | (B) ₹ 47 |
| (iii) 100% | (C) ₹ 53 |
| (iv) `2/3` | (D) ₹ 160 |
| (v) `6 1/4%` | (E) 60% |
| (vi) 12.5% | (F) 25% |
| (vii) SP when CP = ₹ 50 and loss = 6 % | (G) `1/16` |
| (viii) SP when CP = ₹ 50 and profit = ₹ 4 | (H) 250% |
| (ix) Profit% when CP = ₹ 40 and SP = ₹ 50 | (I) ₹ 159 |
| (x) Profit% when CP = ₹ 50 and SP = ₹ 60 | (J) `66 2/3%` |
| (xi) Interest when principal = ₹ 800, Rate of interest = 10% per annum nd period = 2 years |
(K) 20% |
| (xii) Amount when principal = ₹ 150, Rate of interest = 6% per annum and period = 1 year |
(L) 0.125 |
| (M) 3 : 2 | |
| (N) ₹ 164 | |
| (O) 3 : 3 |
