甲比乙多25%，乙比甲少（）%？ 甲比乙多25%，乙比甲少（ ）% 过程
\u5224\u65ad\uff1a\u7532\u6bd4\u4e59\u591a25%\uff0c\u90a3\u4e48\u4e59\u6bd4\u7532\u5c1125%\uff08\uff09\u4f60\u597d\uff0c\u7532\u6bd4\u4e59\u591a25%\uff0c\u90a3\u4e48\u4e59\u6bd4\u7532\u5c1125%\uff08\u00d7\uff09\u56e0\u4e3a\u7532\u6bd4\u4e59\u591a\u4e59\u768425%\uff0c\u800c\u4e59\u4e0d\u4e00\u5b9a\u6bd4\u7532\u5c11\u7532\u768425%\u3002\u7b2c\u4e00\u4e2a25%\u662f\u6307\u4e59\u768425%\uff0c\u800c\u7b2c\u4e8c\u4e2a\u662f\u6307\u7532\u768425%\u3002\u7532\u4e0d\u7b49\u4e8e\u4e59\uff0c\u6240\u4ee5\u4ed6\u4eec\u768425%\u4e5f\u4e0d\u540c
\u6bd4\u5982\uff1a100\u548c125
100\u6bd4125\u5c11125-100/125=25/125=20%
125\u6bd4100\u591a125-100/100=25%
\u6240\u4ee5\u662f\u9519\u7684
\u671b\u91c7\u7eb3\uff0c\u8c22\u8c22
\u8bbe\uff1a\u4e59\u4e3aX
\u6839\u636e\u9898\u610f\uff0c\u5f97\u5230\uff1a\u7532\u4e3a\uff081+25%\uff09X=1.25X
\u4e59\u6bd4\u7532\u5c11\uff1a\uff081.25X-X\uff09\u00f71.25X=0.25X\u00f71.25X=0.2=20%
\u7b54\uff1a\u4e59\u6bd4\u7532\u5c11\uff0820\uff09%
甲=1.25乙
甲=5/4乙
乙=4/5甲
乙=(1-1/5)甲
乙=(1-20%)甲
所以：乙比甲少（20）%
甲比乙多25%，乙比甲少（20）%
25%÷（1+25%）=25%÷125%=20%
绛旓細鐢叉暟姣斾箼鏁板25%锛鍒欎箼鏁版瘮鐢叉暟灏20锛銆傝涔欐暟鏄100锛岀敳鏁版槸涔欐暟鐨(1+25%)锛屾妸涔欐暟鐪嬩綔鍗曚綅鈥1鈥濓紝鏍规嵁涓涓暟涔樺垎鏁扮殑鎰忎箟锛屾眰鍑虹敳鏁般傛眰涔欐暟姣旂敳鏁板皯鐧惧垎涔嬪嚑锛屾妸鐢叉暟鐪嬩綔鍗曚綅鈥1鈥濓紝鏍规嵁鈥(澶ф暟-灏忔暟)梅鍗曚綅鈥1鈥濈殑閲忊濆緱鍑虹粨璁恒傝В锛氳涔欐暟鏄100锛100脳(1+25%)锛=100脳1.25...
绛旓細锛1+25%-1锛壝凤紙1+25%锛=0.25梅1.25锛=0.2锛=20%锛涚瓟锛氫箼姣旂敳灏20%锛庢晠绛旀涓猴細20锛
绛旓細鐧惧垎涔20
绛旓細閭ｄ箞涔欐暟姣旂敳鏁板皯鐨勭櫨鍒嗘瘮=(1.25a-a)/(1.25a)*100 =0.25/1.25*100 =0.2*100%=20 鍗充箼鏁版瘮鐢叉暟灏20%銆
绛旓細涔欐暟姣旂敳鏁板皯20锛
绛旓細鐢-涔=鐢-0.75鐢=0.25鐢 鎵浠鐢叉瘮涔欏25%锛屼箼姣旂敳灏25%銆傛贩鍚堣绠楃殑鎬ц川锛氬湪娣峰悎璁＄畻涓紝 濡傛灉涓绾э紝浜岀骇锛屼笁绾ц繍绠楋紙鍗充箻鏂广佸紑鏂瑰拰瀵规暟杩愮畻锛夊悓鏃舵湁锛屽厛绠椾笁绾ц繍绠楀啀绠楀叾浠栦袱绾с傚鏋滄湁鎷彿锛岃鍏堢畻鎷彿閲岀殑鏁帮紙涓嶇瀹冩槸浠涔堢骇鐨勶紝閮借鍏堢畻锛夈傚噺娉曡绠椾腑锛屽嚑涓暟鐨勫拰鍑忓幓涓涓暟锛屽彲浠ラ...
绛旓細瑙ｆ瀽锛氱敳姣斾箼澶25%,鎶婁箼鐪嬩綔鍗曚綅1,鍒欑敳涓 (1+25%),涔欐瘮鐢插皯鐧惧垎涔嬪嚑锛屽嵆鐢ㄤ箼姣旂敳灏戠殑鐧惧垎姣旈櫎浠ョ敳鐨勭櫨鍒嗘瘮鍗冲彲銆傜敳姣斾箼澶25%,鎶婁箼鐪嬩綔鍗曚綅1,鍒欑敳涓 (1+25%)(1+25%-1)梅(1+25%)=25%梅125 =20 绛旓細涔欐瘮鐢插皯20%銆
绛旓細瑙ｏ細25%梅锛1+25%锛=25%梅125 =20 绛旓細涔欐暟姣旂敳鏁板皯鐧惧垎涔嬩簩鍗銆
绛旓細鐢叉暟姣斾箼鏁澶25%锛鍒欎箼鏁姣旂敳鏁板皯25%銆傚凡鐭ョ敳鏁版瘮涔欐暟澶25%鏍规嵁鐢叉暟姣斾箼鏁板=锛堢敳鏁-涔欐暟锛/涔欐暟锛屽彲寰楀埌鐢叉暟涓庝箼鏁扮殑姣斾緥锛氱敳鏁/涔欐暟=1.25鏍规嵁涔欐暟姣旂敳鏁板皯=锛堢敳鏁-涔欐暟锛/鐢叉暟锛屽彲寰楀埌涔欐暟姣旂敳鏁板皯鐨勬瘮渚嬶細涔欐暟/鐢叉暟=0.75銆傜櫨鍒嗘暟琛ㄧず涓涓暟鏄彟涓涓暟鐨勭櫨鍒嗕箣鍑狅紝涔熷彨鐧惧垎鐜...
绛旓細鍒嗘瀽锛氭牴鎹滅敳鏁版瘮涔欐暟澶25%锛屸濈煡閬撴槸鎶婁箼鏁扮湅鍋氬崟浣嶁1鈥濓紝鍗崇敳鏁版槸涔欐暟鐨勶紙1+25%锛夛紝閭ｄ箼鏁版瘮鐢叉暟灏戠櫨鍒嗕箣鍑狅紝鍗冲彲姹傚嚭锛庤В绛旓細瑙ｏ細鎶婁箼鏁扮湅鍋氬崟浣嶁1鈥濓紝鐢叉暟鏄箼鏁扮殑鐧惧垎涔嬪嚑锛氾紙1+25%锛=125%锛涗箼鏁版瘮鐢叉暟灏戠櫨鍒嗕箣鍑狅細25%梅125%=20%锛涚患鍚堢畻寮忥細25%梅锛1+25%)=20 ...
