Question

P,Q and R together earn Rs. 1620 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn
Rs.910. How much amount does R can earn per day?​

Answer 1

Answer:

70

Explanation:

Amount Earned by P,Q and R in 1 day = 1620/9 = 180 ---[1]

Amount Earned by P and R in 1 day = 600/5 = 120 ---[2]

Amount Earned by Q and R in 1 day = 910/7 = 130 ---[3]

+- => Amount Earned by P , Q and 2R in 1 day

Amount Earned by P,Q and R in 1 day = -180 = 70

=>Amount Earned by R in 1 day = 70

Answer 2

Given:

✰ P, Q and R together earn Rs. 1620 in 9 days.

✰ P and R can earn Rs.600 in 5 days.

✰ Q and R can earn Rs.910 in 7 days.

To find:

✠ Amount does R can earn per day.

Solution:

We will solve this question by using unitary method,

➤ Amount earned by P, Q and R in 9 days = Rs. 1620

⟹ Amount earned by P, Q and R in 1 day = 1620/9

⟹ Amount earned by P, Q and R in 1 day = Rs. 180

➤ Amount earned by P and R in 5 days = Rs.600

⟹ Amount earned by P and R in 1 day = 600/5

⟹ Amount earned by P and R in 1 day = Rs. 120

➤ Amount earned by Q and R in 7 days = Rs.910

⟹ Amount earned by Q and R in 1 in day = 910/7

⟹ Amount earned by Q and R in 1 in day = Rs. 130

Now, we will add Amount earned by P and R in 1 day and Amount earned by Q and R in 1 in day. After adding it, we will substract the result from total amount of all i.e, from total amount earned by P, Q and R in 1 day.

⟹ Amount earned by P and R in 1 day + Amount earned by Q and R in 1 in day

⟹ 120 + 130

⟹ Rs. 250

Now,

• Amount earned by R in one day = (Amount earned by P and R in 1 day + Amount earned by Q and R in 1 in day) - Amount earned by P, Q and R in 1 day

• Amount earned by R in one day = 250 - 180

• Amount earned by R in one day = Rs. 70

∴ Amount that R can earn per day = Rs. 70

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