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Four siblings M, N, P and Q have a certain amount in their wallets. The average amount of all four is Rs.80. Amount of N is 60% more than the amount of Q and difference in the amount of N and M is 10 where N > M. The sum of the amount of P and M is equal to Rs. 190. Find the sum of amounts of N and P.

Four siblings M, N, P and Q have a certain amount in their wallets. The average amount of all four is Rs.80. Amount of N is 60% more than the amount of Q and difference in the amount of N and M is 10 where N > M. The sum of the amount of P and M is equal to Rs. 190. Find the sum of amounts of N and P. Correct Answer Rs. 200

Given,

⇒ (M + N + P + Q)/4 = 80

⇒ M + N + P + Q = 320

Given,

⇒ N = Q + Q × 60/100

⇒ N = 8Q/5

⇒ M + P = 190

Then,

⇒ 8Q/5 + 190 + Q = 320

⇒ 13Q/5 = 130

⇒ Q = Rs.50

⇒ N = 50 × 8/5 = 80

⇒ N – M = 10

⇒ M = Rs. 70

⇒ P + M = 190

⇒ P = Rs.120

∴ Total sum of amounts of N and P = 120 + 80 = Rs. 200

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