Question

Dharma bought a cycle for 960 and sold it to Karma at a profit of 25/2 % Karma sold it to Narma at a profit of 10%. For how much did Narma get the cycle ? ​

Answer 1

Answer:

Dharma's cp=960

and gain %=25/2%

then sp=cp(100+gain%)/100

sp=960(100+25/2%)/100

sp of dharma=1080

now sp of dharma =cp of narma

then cp of narma =1080

profit=10%

then sp=1188

hence narma get the cycle worth rupees 1188

Answer 2

Given :

Cost price of a cycle : ₹960

Profit percent of Dharma : $\sf \dfrac{25}{2}$%

Profit percent of Karma : 10%

To find :

The cost paid by Narma to but the cycle.

Solution :

First, we should find the selling price of Dharma. We know that the selling price of Dharma is same as the cost price of Karma.

Selling price of Dharma :

$\sf \dashrightarrow \dfrac{(100 + Profit\%)}{100} \times CP$

$\sf \dashrightarrow \dfrac{(100 + \dfrac{25}{2}}{100} \times 960$

$\sf \dashrightarrow \dfrac{\dfrac{200 + 25}{2}}{100} \times 960$

$\sf \dashrightarrow \dfrac{\dfrac{225}{2}}{100} \times 960$

$\sf \dashrightarrow \bigg( \dfrac{225}{2} \times \dfrac{1}{100} \bigg) \times 960$

$\sf \dashrightarrow \dfrac{225}{200} \times 960$

$\sf \dashrightarrow \dfrac{9}{8} \times 960$

$\sf \dashrightarrow \dfrac{9 \times 960}{8} = \dfrac{8640}{8}$

$\sf \dashrightarrow \cancel \dfrac{8640}{8} = 1080$

Now, we should find the selling price of Karma. We know that the selling price of Karma is same as cost paid by Narma.

Cost paid by Narma :

$\sf \dashrightarrow \dfrac{(100 + Profit\%)}{100} \times CP$

$\sf \dashrightarrow \dfrac{(100 + 10)}{100} \times 1080$

$\sf \dashrightarrow \dfrac{110}{100} \times 1080$

$\sf \dashrightarrow \dfrac{11}{10} \times 1080$

$\sf \dashrightarrow \dfrac{11 \times 1080}{10} = \dfrac{11880}{10}$

$\sf \dashrightarrow \cancel \dfrac{11880}{10} = 1188$

Hence, the cost paid by Narma to get the cycle is ₹1188.