P and Q start a shop with a capital of ₹1,50,000 and ₹4,50,000 respectively. After a year, out of the profit of ₹1,60,000, P gets his share of profit plus some money that is not apart of the profit, as his salary. If P gets a total of ₹70,000, what is the salary (in ₹) he received ?
Answer & explanation
Correct answer: option 2
P = Rs. 1,50,000
Q = Rs. 4,50,000
After a year, out of profit of Rs. 160000
P gets = Rs. 70,000
The ratio of investment of P and Q = Rs. 1,50,000 : Rs. 4,50,000)
⇒ 1 : 3
Let the ratio of investment of P and Q be 1x and 3x respectively
⇒ (1x + 3x) = Rs. 160000
⇒ 4x = 160000
⇒ x = Rs. 40000
The share of P = 1x = (1 × 40,000)
⇒ Rs. 40,000
According to the question
P gets a total = Rs. 70,000
Now,
The amount of salary that P received = Rs. (70,000 – 40,000)
⇒ Rs. 30,000